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Wydown Middle School Summer Math Student Work Packet For students entering 8th grade Mathematics In order to prepare our middle school students for success with higher standards, it is important that we provide support. This summer work packet is being supplied to all students currently finishing the 7th grade mathematics curriculum to ease the transition to 8th grade. The packet includes practice problems and answer keys. Students should write everything directly in the packet. If there isn’t enough room provided for the math, please use additional paper and attach it. We suggest the pace of two to three sheets per week. The use of calculators should be discouraged. If you misplace the packet, you can download another copy on the Wydown website. http://www.clayton.k12.mo.us/site/Default.aspx?PageID=3457 Students should bring the completed packet to school on the 1st day of classes, Wednesday, August 15th, 2012 and turn it into his/her new math teacher. Student’s Name: _________________________ Current math teacher: _____________________ Date Completed: _________________________ Parent signature: _________________________ Highly Suggested Problems Sets for Students Going Into Eighth Grade ___ ___ ___ ___ ___ ___ 1. 2. 3. 4. 5. 6. ___ ___ ___ ___ 7. 8. 9. 10. ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. ___ 27. Rounding Numbers (#1-12) Fractions and Decimals (#1-24 odds) Fractions, Decimals, and Percents (#1-33 odd) Adding/Subtracting Integers (#21-30) Adding/Subtracting Decimals (#21-30) Adding/Subtracting Fractions and Mixed Numbers (#12-20) Dividing Integers (#1-24) Multiplying Integers (#1-24) Multiplying Decimals (#5-10) Multiplying/Dividing Fractions and Mixed Numbers (#2-20 evens) Order of Operations (#13-24) Evaluating Variable Expressions (#13-20) Proportions (#1-12) Similar Figures (#2-22 even) Multistep Equations (#1-12) One-Step Equation Word Problems (#1-14) Naming Decimal Places (#1-24) Divisibility and Factors (#1-25 odd) Factors and Factorization (#1-16) Greatest Common Factor (#1-3, 7-9) Least Common Multiple (#1-10) Simplifying Variable Expressions (#2-22 even) The Distributive Property (#2-16 even) Angle Sum of Triangles and Quadrilaterals (#1-19 odd) Area of Triangles (#1-13 odd) Areas of Squares, Rectangles, and Parallelograms (#2-14 even) Circles (#2-20 even) Kuta Software - Infinite Pre-Algebra Name___________________________________ Rounding Numbers Date________________ Period____ Round each to the place indicated. 1) 8,632,051 2) 25,952,938 3) 803,119 4) 73,693 5) 2,461,612,242 6) 789,132,377 7) 9,885,659,260; billions 8) 2,628,259; thousands 9) 347,168; ten thousands 10) 9,727,322,054; billions 11) 1,399,179; thousands 12) 271,156,694; millions ©A s2h0T131O 5KbuJtLaa 2SforfgtnwIaErlew aLKLTC7.x s vABlYl5 XrDiLgWhptHsk MrseisEeur3vLe1dX.b 7 dMfaKdGeu JwIijtThR UIhnyfiionSi3tbeK hPyraek-YADlIgge7bfriaE.u -1- Worksheet by Kuta Software LLC 13) 44.5443495 14) 5.3373959 15) 8.7495980 16) 74.91 17) 0.72091 18) 23.0368 19) 9.3113; thousandths 20) 6.9788; tenths 21) 6.3761; tenths 22) 1.7354948; hundred-thousandths 23) 1.495485; thousandths 24) 8.121; hundredths ©v s2m0n1510 1KxuhtqaF ISaoPf0tcwoaBrJe0 JL0LOCD.r 7 oAnl9lP erVirgnhEtpsw ortemsheKrFvqeqdA.e m 4MVaMdGez nwIiTtihH AIgnDfZiLnwiftQex 7P2rhe3-uAJlJgjeTb0r1ai.l -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Rounding Numbers Date________________ Period____ Round each to the place indicated. 1) 8,632,051 2) 25,952,938 9,000,000 3) 803,119 26,000,000 4) 73,693 803,100 70,000 5) 2,461,612,242 6) 789,132,377 2,000,000,000 7) 9,885,659,260; billions 800,000,000 8) 2,628,259; thousands 10,000,000,000 9) 347,168; ten thousands 2,628,000 10) 9,727,322,054; billions 350,000 11) 1,399,179; thousands 10,000,000,000 12) 271,156,694; millions 1,399,000 ©L d2m0z1n1t 6KCuitfaY 0SfoifQtEwza7r0ef zL7LsCT.Z D YA2lilF crPizgPhqtUsA yroePsresrJvfeFdO.j k WMKa1dre6 XwJiItHhZ zIenMfbiDndiWtweY mPkrVeF-iA6ligveAbdrIal.g 271,000,000 -1- Worksheet by Kuta Software LLC 13) 44.5443495 14) 5.3373959 44.54435 15) 8.7495980 5.33740 16) 74.91 8.74960 74.9 17) 0.72091 18) 23.0368 0.7209 23.037 19) 9.3113; thousandths 20) 6.9788; tenths 9.311 21) 6.3761; tenths 7.0 22) 1.7354948; hundred-thousandths 6.4 23) 1.495485; thousandths 1.73549 24) 8.121; hundredths 1.495 8.12 Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©f 5230p1P1r AKOuttfa3 kS6oLfGt4wKaOrZeA OLwLPCY.3 5 vAylRlK irriQgohDtes2 er3eIsKe5rRv2e2db.z G gM4atd7eW Ow2i0tXhs XIInFfKilnuiSt9eM tPbrEer-GAol4gWebbxrjam.4 -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Fractions and Decimals Date________________ Period____ Write each as a decimal. Use repeating decimals when necessary. 1) 1 4 2) 2 3) 5 8 4) 3 5 5) 7 200 6) 8 33 7) 6 11 8) 7 50 9) 4 27 125 ©b J2Q0m1918 WKguBt6a3 DSzojfYtSwMaIrwel KLWLzCy.g W dAllKlJ HruihgChktPs2 irRe2sdeLrVvzeBdF.b o 1Mdatd4eA wwqiltPhm AIYnZfYiBn6iZtkej lPWrsey-QAmlzgPeEbwrraM.W 10) -1- 3 5 7 20 Worksheet by Kuta Software LLC 11) 1 111 12) 1 125 Write each as a fraction. 13) 2.2 14) 1.6 15) 0.08 16) 0.27 17) 1.76 18) 0.15 19) 0.3 20) 0.09 21) 0.7 22) 0.46 23) 0.005 24) 0.4 ©p u2X0I191w AK9uGtbat SS3oSf8tcwSahrheX PLlL4CP.E d fA3lTly ir8ihgHh1tJsg 8rfeHspeHrEvmeFdZ.c B vMWalduen ywIiGtchy JIIn0fLi4nziTtIel gPVrpen-9A7lQgseZbErha2.I -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Fractions and Decimals Date________________ Period____ Write each as a decimal. Use repeating decimals when necessary. 1) 1 4 2) 2 0.25 3) 5 8 2.6 4) 0.625 5) 7 200 6 11 6) 27 125 8) 7 50 0.14 10) 4.216 ©R Z2G0w1Y15 6K7uxt6aq nSSoGfKtpwraXr6ek ULLLfCG.N F PA7lElA grVimgGhytRsE krIejsFeYrxvueGdp.i i BMyaEdCeC 2wwi3trhS JIRnWfaienDiWtteN cPfr2eS-vA1lrgSehbirRa6.T 8 33 0.24 0.54 9) 4 3 5 0.6 0.035 7) 3 5 7 20 0.35 -1- Worksheet by Kuta Software LLC 11) 1 111 12) 0.009 1 125 0.008 Write each as a fraction. 13) 2.2 2 14) 1.6 1 5 15) 0.08 1 16) 0.27 2 25 17) 1.76 1 27 100 18) 0.15 5 33 19 25 19) 0.3 20) 0.09 1 3 21) 0.7 1 11 22) 0.46 7 9 23) 0.005 3 5 46 99 24) 0.4 1 200 2 5 Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©w L2N0F1G1t aKuustOaj ASxoDfdtKwWaqrkeR fLoLHCW.w X NANlRlP KrTiggYhytcst CrZecsJeZravVeBd1.L g 9MfaDdvei swCiRt0h3 MINnEfzifnYimtdep MP0r2ez-ZA7lwgAejb4rfaL.4 -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Fractions, Decimals, and Percents Date________________ Period____ Write each as a decimal. Round to the thousandths place. 1) 90% 2) 30% 3) 115.9% 4) 9% 5) 7% 6) 65% 7) 0.3% 8) 445% Write each as a percent. Round to the nearest tenth of a percent. 9) 0.452 10) 0.006 11) 0.002 12) 0.05 13) 4.78 14) 0.1 15) 3.63 16) 0.03 ©q V2u0f171M 8Khuht3a1 kSgomfRt6wCaJr3eq BLULTCq.v 5 QAYlblr 3rAiWgQhQt7sx oryecsyelrkvUecdA.U 5 0MZaMdpeq fwTiOtKhr II9nVfNiyneiqt7eC lPfrjeM-EApl6gReTb4roau.u -1- Worksheet by Kuta Software LLC Write each as a fraction. 17) 25% 18) 70% 19) 93% 20) 58% 21) 50% 22) 66.6% 23) 20% 24) 80% 25) 71% 26) 30% Write each as a percent. Use repeating decimals when necessary. 27) 1 2 28) 1 8 29) 2 3 30) 1 100 32) 3 8 34) 87 100 31) 2 33) 1 10 1 10 ©d d2r0N1b1X LKAuOtwaQ JSZo8fHttw0a6rUeG zL6L8CN.o 7 WA3lMlE FrKivgLhCtosw irse4sdemrLvgePdd.V b CMCajdweV aw9ibt0h9 LIInQfwiFncirtVem bP6rdez-4AOlwgpesbYr2aj.a -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Fractions, Decimals, and Percents Date________________ Period____ Write each as a decimal. Round to the thousandths place. 1) 90% 2) 30% 0.9 0.3 3) 115.9% 4) 9% 1.159 5) 7% 0.09 6) 65% 0.07 7) 0.3% 0.65 8) 445% 0.003 4.45 Write each as a percent. Round to the nearest tenth of a percent. 9) 0.452 10) 0.006 45.2% 0.6% 11) 0.002 12) 0.05 0.2% 5% 13) 4.78 14) 0.1 478% 15) 3.63 10% 16) 0.03 363% ©Z 22Q0o1O16 wKMuvt3aA sSloQfutCwZaEr9ej KLvLqCd.P 4 LAClAln Hr6icgfhZt1sh lreersve6rxvUerdM.h 5 lMiaXdYel dw4i1tKhz GIJnjffi5nAibtEeb bPwr3el-mATlFgIeQbmrLaV.9 3% -1- Worksheet by Kuta Software LLC Write each as a fraction. 17) 25% 18) 70% 1 4 19) 93% 7 10 20) 58% 93 100 21) 50% 29 50 22) 66.6% 1 2 23) 20% 2 3 24) 80% 1 5 25) 71% 4 5 26) 30% 71 100 3 10 Write each as a percent. Use repeating decimals when necessary. 27) 1 2 28) 50% 29) 2 3 12.5% 30) 66.6% 31) 2 1 10 1 10 1 100 1% 32) 210% 33) 1 8 3 8 37.5% 34) 10% 87 100 87% Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©6 M2d061g1C eKVuUt8au rSsoYfctywEa8rieS LL9LJCG.s A HAdlplZ trci9gZhgtdsA hrkeLsueQrZvZeRdC.t m GMEaGdbeh OwWiWtNhK vIBnufRidn1iKtoeq vPUrxew-KA0lSgqeLbsr1aw.K -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Adding/Subtracting Integers Date________________ Period____ Find each sum. 1) (−12) + 7 2) (−10) + (−7) 3) (−6) + 12 4) 8 + 7 5) 3 + 4 6) (−45) + 9 7) (−1) + (−46) 8) (−30) + 10 9) (−34) + 50 10) 38 + (−5) Find each difference. 11) 2 − (−2) 12) (−1) − 10 13) 8 − 7 14) (−8) − (−6) ©N h2x0W171s DK1ustpaP CSBocfGtJwPaEryec oLOL4CD.d 2 xAJl5lq ZriiIgch9tPsc hrYeZsFedrevYeVdU.G s cMMagdaeb swtibtQhz OITnXf5iinEiCt7ek dP6rleV-dAllSgResberIap.E -1- Worksheet by Kuta Software LLC 15) 11 − 4 16) 48 − (−31) 17) 18 − 41 18) (−38) − 30 19) (−1) − (−3) 20) (−1) − (−40) Evaluate each expression. 21) (−10) − 47 22) (−29) − 29 23) 13 + (−29) 24) 38 + 22 25) (−32) − 44 26) (−12) + (−11) 27) 2 + 15 + 4 28) 16 + (−13) + 5 29) 2 − (−9) − 8 30) 10 + 3 − (−8) ©m 62j0m1y1D YKCuVt2aP xS4oafCtEw2ayrKeG oLDLCCT.3 j xA2l8lP eriivg6hTtmsn XrNeNsXeDrevYeydO.H I oMsaAdneG UwqiBtHhV 8IonQfOiJnIiHtLe6 UPwrNeV-uAelvg4eabErpar.9 -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Adding/Subtracting Integers Date________________ Period____ Find each sum. 1) (−12) + 7 2) (−10) + (−7) −5 −17 3) (−6) + 12 4) 8 + 7 6 5) 3 + 4 15 6) (−45) + 9 7 −36 7) (−1) + (−46) 8) (−30) + 10 −47 −20 9) (−34) + 50 10) 38 + (−5) 16 33 Find each difference. 11) 2 − (−2) 12) (−1) − 10 4 −11 13) 8 − 7 14) (−8) − (−6) 1 ©m Q2s0A191G SKiuZtdaV MSEopfJtFwiaBrzeo 0LOLvCm.p o PAclIl6 wrCitgfhmtNs7 grKeks0e7r7vCeUdE.d j ZMFaNdieT VwSiXtWh0 uIkn7fkihnLiBtceS 4PqrHeZ-tA6l6gXevb3rmam.F −2 -1- Worksheet by Kuta Software LLC 15) 11 − 4 16) 48 − (−31) 7 17) 18 − 41 79 18) (−38) − 30 −23 19) (−1) − (−3) −68 20) (−1) − (−40) 2 39 Evaluate each expression. 21) (−10) − 47 22) (−29) − 29 −57 −58 23) 13 + (−29) 24) 38 + 22 −16 60 25) (−32) − 44 26) (−12) + (−11) −76 27) 2 + 15 + 4 −23 28) 16 + (−13) + 5 21 29) 2 − (−9) − 8 8 30) 10 + 3 − (−8) 3 21 Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©j Z2h0k1N1l CKKuDt4as XSRogfLt3wWaLrVeD ZLOLMCP.0 E vA5l6lD 4rFi8g8hXtgsZ wrZexsBeRrBv5esdp.J k ZMZaVdSek GwristghP pIgnafMitnDi6tbeK 2Pfr9eX-AAOlDggeSb5rXa7.m -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Adding/Subtracting Decimals Date________________ Period____ Find each sum. 1) 5.4 + (−9.7) 2) 10.8 + (−4.73) 3) (−0.5) + 0.3 4) (−4.79) + (−0.4) 5) 3.305 + 1.7 6) (−3.6) + 0.43 7) (−4.3) + 14.5 8) (−7.1) + 3.63 9) 13.7 + 3.2 10) (−10.9) + 6.1 Find each difference. 11) 2.2 − 7.3 12) (−8.1) − (−8.9) 13) 2.9 − 9.4 14) (−3.9) − 8.9 ©O E2o0W1P1s CKMuhtJaM 5Sco6fetVwXaFrqek iLnLhCV.r f qATlLll GrBiWgBhKt4sj 8rMeSsYeZrCvPevd9.1 0 CM2a9d6eL WwdiNtnh7 TIsnSfZicnqiCtbeA HPZrced-nAuligkeobjrpan.j -1- Worksheet by Kuta Software LLC 15) 9.8 − 7.1 16) (−18.278) − (−6.8) 17) 17.9 − (−19.4) 18) 15.5 − 15.5 19) 1.58 − (−13.6) 20) 1.81 − 17.17 Evaluate each expression. 21) 19.4 + 24.2 22) (−14.8) − (−9.7) 23) (−9.1) + 3.5 24) 0.96 − 8.5 25) 9.5 − (−19.3) 26) 3.4 − (−12.1) 27) 8.7 + 3.8 + 12.3 28) (−13.6) + 12 − (−15.5) 29) 3.4 − 5 − 10.4 30) (−5.6) − (−12.6) + (−6.6) ©t C2n0P1i1l rKHu0twa1 ySkoQf3tIwBacrAeV 7LxLCCx.A U fAWlZlZ 7rWirgghgtIsX 5rFeDsuevrpv3e2dr.U v YMuaRd1ex ewKiytVh6 bI9nrfeiNnjiNtLeo BPQrUeO-rAmlAgye3bsrYaI.F -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Adding/Subtracting Decimals Date________________ Period____ Find each sum. 1) 5.4 + (−9.7) 2) 10.8 + (−4.73) −4.3 3) (−0.5) + 0.3 6.07 4) (−4.79) + (−0.4) −0.2 −5.19 5) 3.305 + 1.7 6) (−3.6) + 0.43 5.005 −3.17 7) (−4.3) + 14.5 8) (−7.1) + 3.63 10.2 9) 13.7 + 3.2 −3.47 10) (−10.9) + 6.1 16.9 −4.8 Find each difference. 11) 2.2 − 7.3 12) (−8.1) − (−8.9) −5.1 0.8 13) 2.9 − 9.4 14) (−3.9) − 8.9 −6.5 −12.8 ©a V2X0p1E18 9KsuWtbaT VSboLfctOwCa2rket GLhLZCp.w O sAcl7lX xruirgkhWt8s0 or2edsSeUryvgeMdZ.h 8 jMVazdUeK vw2iatChf 2ImnFfGiJnGiRtCeh kP7rpel-bAmlGgQeQborxaG.r -1- Worksheet by Kuta Software LLC 15) 9.8 − 7.1 16) (−18.278) − (−6.8) 2.7 17) 17.9 − (−19.4) −11.478 18) 15.5 − 15.5 37.3 19) 1.58 − (−13.6) 0 20) 1.81 − 17.17 15.18 −15.36 Evaluate each expression. 21) 19.4 + 24.2 22) (−14.8) − (−9.7) 43.6 23) (−9.1) + 3.5 −5.1 24) 0.96 − 8.5 −5.6 25) 9.5 − (−19.3) −7.54 26) 3.4 − (−12.1) 28.8 27) 8.7 + 3.8 + 12.3 15.5 28) (−13.6) + 12 − (−15.5) 24.8 29) 3.4 − 5 − 10.4 13.9 30) (−5.6) − (−12.6) + (−6.6) −12 0.4 Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©9 j2z0b1q1z tKJubtvaF wSgo8fOtOwlaarpen GLlLdCz.j L RAWlLlk Orcicg6hLtHsE Orzeys3e7rbvMeHda.Y O DMVaIddeV 7wXivtuh3 GI0ncf4idnRiQtfeu ZPWrMee-sAUlggoenbkrjaa.3 -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Add/Subtracting Fractions and Mixed Numbers Date________________ Period____ Evaluate each expression. 1) 5 3 − 4 4 2) 3 1 − 2 2 3) 2 4 + 5 5 4) 1 1 − 3 3 6) 1 1 − 2 2 1 1 + 5 5 8) 7 5 − 6 6 ( ) 10) 5) 6 − 7) 9) − 1 6 7 4 − 8 5 ( ) 11) − 13) 1 3 + 3 8 ( ) 9 4 + − 5 3 ©x r2y0H1K1b hK9uqt1aq USioufutQwQaTr1eK 6LlLgCB.W C dANlklG LrOiQgvhQtos2 Xr9eUs3ehrtv4eadP.q U QMpaxdzee CwJiYtKhY EInnNfCiPnoiKtAem ZPVraex-rAdlXgbeRbMr0aO.V ( ) 1 5 − − 3 3 ( ) 12) − 10 1 + 7 6 14) 2 − -1- 13 8 Worksheet by Kuta Software LLC 15) ( ) ( ) 9 5 − 5 8 16) − ( ) 17) (−1) + −2 2 5 4 3 − − 3 2 ( ) 18) −3 ( ) 20) 1 ( ) 22) −1 19) 3 6 1 + −1 7 7 21) 2 1 2 + −1 3 3 ( ) 2 4 + −3 7 7 ( )( ) ( )( ) 24) −2 ( )( ) 26) −3 23) −1 25) −2 27) 1 7 1 + −3 8 2 5 1 − −1 6 4 ( ) 2 3 − −3 5 4 ©M l2n0Z141w oKzurtca9 pSSoOfRtSwvasrweS LLXLwCu.M A HA1lAle zrciggAhAtEsn Xr4e0ssedrcv4eHdZ.L a tM4apdpe9 xwHirtHhn PIEnSfgi4nfistLeO APGrUe5-XALlbgweTberUaq.Q 3 2 −4 5 5 3 3 + −3 4 4 ( )( ) 7 1 + −1 8 2 ( ) 28) 2 -2- 5 2 −4 8 5 4 5 − 5 8 Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Add/Subtracting Fractions and Mixed Numbers Date________________ Period____ Evaluate each expression. 5 3 − 4 4 1) 2) 1 1 2 2 4 + 5 5 3) 4) 1 6 5) 6 − 6) 1 1 + 5 5 8) 2 5 7 4 − 8 5 10) 1 3 + 3 8 ( ) 12) − 1 24 13) ( ) 1 5 − − 3 3 2 67 40 ( ) 11) − 7 5 − 6 6 1 3 ( ) − 1 1 − 2 2 0 35 6 9) − 1 1 − 3 3 0 6 5 7) 3 1 − 2 2 − ( ) 9 4 + − 5 3 53 42 14) 2 − 7 15 ©E K2O0j1A14 5Kku0tpa8 gSiomfEtaw5ahrvec VLjLHCj.W X YAmlelm Br4ixgvhLtGso irGePsieYrlvKeLdj.B L tMPafdMeM DwBiwt9hK aIgnPf6iAnIiftFes ZPFrqeq-LANl5gremb4rqa9.U 10 1 + 7 6 13 8 3 8 -1- Worksheet by Kuta Software LLC 15) ( ) ( ) 9 5 − 5 8 16) − 47 40 1 6 ( ) 17) (−1) + −2 −3 19) 3 21) 2 2 5 ( ) 18) −3 ( ) 20) 1 5 7 ( ) −5 ( )( ) −5 7 1 + −3 8 2 −4 −1 5 1 − −1 6 4 ( ) 5 1 2 7 1 + −1 8 2 3 8 ( ) 26) −3 7 12 2 3 − −3 5 4 3 3 + −3 4 4 ( )( ) 24) −2 3 8 ( )( ) 25) −2 2 7 ( )( ) 22) −1 2 3 27) 1 ( ) 2 4 + −3 7 7 −2 1 2 + −1 3 3 23) −1 3 2 −4 5 5 −8 2 5 6 1 + −1 7 7 2 4 3 − − 3 2 −8 28) 2 3 20 5 2 −4 8 5 1 40 4 5 − 5 8 2 7 40 Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©w Q2n0x1l1n uKJu5tZao RSXoufAtewXaNrkea pLeLcC4.f 6 2AOlOlY ZrbibgvhRtysq 1rseJs5eprFvLeTdh.h M VMeaYduen rwliQtZh6 0I8nVfOiMnMi2tNer NPgr6eA-qAxlrgGeubIrPaM.B -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Dividing Integers Date________________ Period____ Find each quotient. 1) 35 ÷ −5 2) −8 ÷ 4 3) −24 ÷ 4 4) −8 ÷ −2 5) 8 ÷ 4 6) −24 ÷ 8 7) −21 ÷ 7 8) 6 ÷ −6 9) −132 ÷ −11 10) −60 ÷ −15 11) −52 ÷ −4 12) 60 ÷ 12 ©k j2J0x1U14 FK3uytRaK sS0o3fstwwwa6r1eB iLtLiCz.w h PAFlalQ 0r9imgfh9tusy Lrxe5sPeIr3vCeUdH.v 8 ZMZabdVeJ hwUiGt8hV nIin4fcienUiJtceJ nPir8eo-zAxlVgoekb8rnar.l -1- Worksheet by Kuta Software LLC 13) 6 ÷ −1 14) 75 ÷ 15 15) 65 ÷ −13 16) 12 ÷ 4 17) −168 ÷ −12 18) −8 ÷ 2 19) −105 7 20) −4 −1 21) −10 −2 22) −144 12 23) 24 −12 24) 60 −15 ©A 92D0i1E1G xKeu3tnan fSOoDfVt3wLaorpev cL9L0Cm.f k SAklDls Jrbilg4hRttsr 6rBe5sPe4rgvTeVdJ.x P dMda9d3e1 Ewqijt3hU LIBnuf9ijndiKt0en qPfrPeQ-yAulwgxembArrak.5 -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Dividing Integers Date________________ Period____ Find each quotient. 1) 35 ÷ −5 2) −8 ÷ 4 −7 3) −24 ÷ 4 −2 4) −8 ÷ −2 −6 5) 8 ÷ 4 4 6) −24 ÷ 8 2 7) −21 ÷ 7 −3 8) 6 ÷ −6 −3 9) −132 ÷ −11 −1 10) −60 ÷ −15 12 4 11) −52 ÷ −4 12) 60 ÷ 12 13 5 ©M b2z0R1e1S 7KMuqtfaN XS3oEfNtvwdagrOes RLxLSC6.1 U NA3lMl5 orCi6grhitBst rrieGske7rnvTeldu.K 6 EMjaRdBeN jw5i2tnhz EI8nzfqiEnNiOthe5 GP8rQe2-TAGlUgpecbBr5au.9 -1- Worksheet by Kuta Software LLC 13) 6 ÷ −1 14) 75 ÷ 15 −6 5 15) 65 ÷ −13 16) 12 ÷ 4 −5 3 17) −168 ÷ −12 18) −8 ÷ 2 14 19) −105 7 −4 20) −15 21) −10 −2 4 22) 5 23) 24 −12 −4 −1 −144 12 −12 24) −2 60 −15 −4 Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©m h2i0E1O15 cKluUtXak 3SRozfotswXaEreeN iL3LgCQ.l E rAYlLlf HrdiEgVhZtash erMeVsZecrHvteEdw.a s 3M8a9dUeI jwbiZt7h1 yIwnrfGiSnXihtDeQ vPnrveL-cATl1g5eTbarHap.c -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Multiplying Integers Date________________ Period____ Find each product. 1) 6 × −4 2) 4 × 2 3) 3 × −4 4) −6 × 4 5) 5 × −4 6) −3 × 4 7) −5 × 6 8) −2 × −1 9) −8 × −2 10) 11 × 12 11) −7 × 5 12) 9 × −6 ©Q I2o0O1n1H UKlu0tNap TSPolfRtSwialrVea pLGLGCT.K 4 9AWlAlj PrCihgrhttAsg cr9eysBeurNvWe3d9.u d KMdavdEe7 VwsiytQhC NIInCfniAnHiGt8em wP9r2ec-zA2lNgLeWbRrZac.f -1- Worksheet by Kuta Software LLC 13) 10 × 5 14) 9 × 2 15) −12 × 7 16) 8 × −12 17) 9 × 10 × 6 18) −6 × −10 × −8 19) 7 × 9 × 7 20) 6 × 6 × −2 21) −5 × −4 × −10 22) 9 × 9 × −5 23) 8 × 3 × 8 24) 7 × 5 × −5 ©t U2T061V1z 4KdugtdaP pSSoRfotlwgabrUez 9L2LkCI.t q TAQlylY erhi9gYhWtssw 8rrePsQeXrwvFeZdo.U J 9Mla2dIe0 4w4iwtXhl KItnafPiEnNiltQe5 cPIrPeJ-YANlfgLe6bjrdax.G -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Multiplying Integers Date________________ Period____ Find each product. 1) 6 × −4 2) 4 × 2 −24 3) 3 × −4 8 4) −6 × 4 −12 5) 5 × −4 −24 6) −3 × 4 −20 7) −5 × 6 −12 8) −2 × −1 −30 9) −8 × −2 2 10) 11 × 12 16 11) −7 × 5 132 12) 9 × −6 −35 ©k G2E0l1814 dKIuUtraV dSgoPfgt4wvaKreeG ZLQLlC2.i o oANlJla ZrkihgChDtQsx 2rkeKsEeRrxvOe8dh.C v 0MKaMdKeW 0wwixtNhX KIJnlf7iFnUiftTes wPVr5eK-eAnl7gdezbEraay.d −54 -1- Worksheet by Kuta Software LLC 13) 10 × 5 14) 9 × 2 50 18 15) −12 × 7 16) 8 × −12 −84 17) 9 × 10 × 6 −96 18) −6 × −10 × −8 540 −480 19) 7 × 9 × 7 20) 6 × 6 × −2 441 −72 21) −5 × −4 × −10 22) 9 × 9 × −5 −200 −405 23) 8 × 3 × 8 24) 7 × 5 × −5 192 −175 Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©5 J2H0c1i1d bKHuKtQaJ VSno2fQtVwqa0ryeE 5LpLzCx.H x 6A7lmlt Fr2ingrhWtLsX Vr5euspehrhvgebdY.X 2 UMoaUdXev ew8iGtChg lIFnsfNiOn0iTtTeZ GPYrFeH-yAulSgLeCbfryah.9 -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Multiplying Decimals Date________________ Period____ Find each product. 1) −5.5 × −4.87 2) 1.7 × −2.1 3) 0.2 × −1.6 4) 1.7 × −3.1 5) −4.6 × −7.2 6) −5.928 × −11.6 7) −1.5 × −7.1 8) 7.8 × 5.1 9) −7.5 × 9 × −8.3 10) −4.04 × −9 × 3 11) 3.2 × 8.7 × −1.1 12) 8.1 × 8.6 × −5.2 ©E r2i00111u 5KWuYtRaX HSpoBfAtgw3axr0e8 XLILUC9.v w IAalsl6 NrjiHgVhst3se RrUeSsAesrEvfeUdg.p r UM9a6dTeP awGi6tLhY yIGnRf5i0neijtfe1 CP1rvet-vAzlRg9eSblrCaH.N Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Multiplying Decimals Date________________ Period____ Find each product. 1) −5.5 × −4.87 26.785 3) 0.2 × −1.6 −0.32 2) 1.7 × −2.1 −3.57 4) 1.7 × −3.1 −5.27 5) −4.6 × −7.2 6) −5.928 × −11.6 33.12 68.7648 7) −1.5 × −7.1 10.65 9) −7.5 × 9 × −8.3 560.25 11) 3.2 × 8.7 × −1.1 −30.624 8) 7.8 × 5.1 39.78 10) −4.04 × −9 × 3 109.08 12) 8.1 × 8.6 × −5.2 −362.232 Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©d N2y0d1G11 VKsuTtvaT uSGodfTtewkawrKea 7LtLpCE.c X PAZlGlX 6raiJgNhAt2sk ArSe7sReWrSvbeDdk.R q tMIaQdBeS Pw6iit3hu 8IpntfcitnwiBtfep NParfey-9AYlrgeeSb8rpaf.b Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Multiplying/Dividing Fractions and Mixed Numbers Date________________ Period____ Find each product. 1) − 3) 5 1 ⋅ 4 3 4 7 ⋅ 9 4 5) −2 ⋅ 3 7 2) 8 7 ⋅ 7 10 4) − 2 5 ⋅ 3 4 6) −2 2 1 ⋅4 3 10 1 ⋅9 4 7) −2 1 3 ⋅ −1 5 4 8) −1 9) −1 5 1 ⋅ −2 7 2 10) −2 ©G f200B1e1p 6KsuYtMaE MSKohf8tQwza1rPe4 ZL5LiCd.4 v EAjldlu NrkiygDhjtJsy PrOefs5eVrGv0ecdH.x x cMtaXdxei mwUi3tAhT QIannfyiknSiPtoeR UPkr0et-LAAljgEeRbUrRaE.G -1- 3 1 ⋅2 8 2 Worksheet by Kuta Software LLC Find each quotient. 11) −1 7 ÷ 5 4 12) −1 5 ÷ 2 4 13) −3 −10 ÷ 2 7 14) 1 8 ÷ 2 7 15) −9 ÷2 5 16) −3 17) −2 ÷ −3 19) 1 4 5 6 3 ÷5 7 4 ©t O2U091n1i OKjuUt6al oSaoCfRtiwBafrbeG 4LuLsCm.x p hAkl7l8 qrDiugohdtVsi Jr2essjewrCvaeCdB.f g XMHaldxeW Xw0i4tnhw iIinHf4i2nXiKtVeW OPNrAeY-9ApllgFe8bWr3a4.H 18) 1 1 ÷ −1 3 9 20) −3 -2- 5 ÷3 9 7 1 ÷2 10 4 Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Multiplying/Dividing Fractions and Mixed Numbers Date________________ Period____ Find each product. 1) − 5 1 ⋅ 4 3 − 3) 2) 5 12 4 7 ⋅ 9 4 4 5 4) − 7 9 7) −2 3 9) −1 4 2 5 ⋅ 3 4 − 5) −2 ⋅ − 8 7 ⋅ 7 10 3 7 6) −2 6 7 1 3 ⋅ −1 5 4 8) −1 10) −2 1 4 3 1 ⋅2 8 2 −5 -1- 14 15 1 ⋅9 4 −11 2 7 ©h D2m0q1h15 2KFurtNas 9SHo9fttmwzaSrEeL KLpLDCK.I 6 vAUlZl2 DrcipgchltIsX crheDsXe7r2vcegd2.r n fMEapd7eF MwqiPtGhH DIwnJfJiznzi1tren hPBrGeJ-CAxllgQeIbcrXap.5 2 1 ⋅4 3 10 −10 17 20 5 1 ⋅ −2 7 2 5 6 15 16 Worksheet by Kuta Software LLC Find each quotient. 11) −1 7 ÷ 5 4 − 13) 12) 4 35 − −3 −10 ÷ 2 7 14) 21 20 15) 5 ÷3 9 −1 4 5 18) 10 19 19) 1 1 8 ÷ 2 7 16) −3 9 10 17) −2 ÷ −3 2 5 7 16 −9 ÷2 5 − −1 5 ÷ 2 4 6 3 ÷5 7 4 1 1 ÷ −1 3 9 − 1 12 20) −3 52 161 5 27 7 1 ÷2 10 4 −1 29 45 Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©W U2k0G1H1Q rK9uBtiaC sSkoTfJtPwfabrzeU VLZL7C0.c 2 7AVltlG DrUiFg7hxtMsC nr2edsFeUrvvcevdm.g b yMza3dmei FwYintjhD dIwn8fAianRiQtae9 CPUrbeq-GAvlogRe9bFrwaz.x -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Order of Operations Date________________ Period____ Evaluate each expression. 1) (30 − 3) ÷ 3 3) 1 + 7 2 2) (21 − 5) ÷ 8 4) 5 × 4 − 8 5) 8 + 6 × 9 6) 3 + 17 × 5 7) 7 + 12 × 11 8) 15 + 40 ÷ 20 9) 20 + 16 − 15 10) 19 − 15 − 3 11) 9 × (3 + 3) ÷ 6 12) (9 + 18 − 3) ÷ 8 ©j 32j0l171u BKYuVtXa3 3SZocfftKwXaJrne9 7LYL7C1.u H xAYlel2 jr1iUgih6tKsk 4r1eJsXeTrovheodI.8 D OMIaJdZeO FwTi8tJhi 6IqncfjifniibtYeZ IPYrles-qAdl6g8ebbOrDad.z -1- Worksheet by Kuta Software LLC 13) 9 + 6 ÷ (8 − 2) 14) 4(4 ÷ 2 + 4) 15) 6 + (5 + 8) × 4 16) 6 × 6 − (7 + 5) 17) (9 × 2) ÷ (2 + 1) 18) 2 − (4 + 3 − 6) 19) 7 × 7 − (8 − 2) 20) 9 − 7 − 6 ÷ 6 21) (4 − 1 + 8 ÷ 8) × 5 22) (10 × 2) ÷ (1 + 1) 23) 7 × 9 − 7 − 3 × 5 24) 8 − 1 − (18 − 2) ÷ 8 ©b z200D1N1S mK4u9tCaH uS7oEfstDwSa6r1e5 GLJLqCe.P k zAzlzlF vrGiGgqhjtosf grAeys2enrpvCe3dP.R 3 3M2aRdEeE bw8iwtLhc 0IGnBf8ignjiStOeM zPWr7eu-6ACl5gJekbOrEax.h -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Order of Operations Date________________ Period____ Evaluate each expression. 1) (30 − 3) ÷ 3 2) (21 − 5) ÷ 8 9 3) 1 + 7 2 2 4) 5 × 4 − 8 50 12 5) 8 + 6 × 9 6) 3 + 17 × 5 62 88 7) 7 + 12 × 11 8) 15 + 40 ÷ 20 139 9) 20 + 16 − 15 17 10) 19 − 15 − 3 21 11) 9 × (3 + 3) ÷ 6 1 12) (9 + 18 − 3) ÷ 8 9 ©e q2B0G1h1I 7KQuttGaf bSwoTfttywHawrweQ kLdLICm.X A OA0lNlw XrHiKgfhmtnsv Xr8evsceurDvHexdR.X F XMMacdXer ZwbiftAhA cIYnwfWiJnsiptnel oP2rAeM-YA8lfg1ekbwr5af.7 3 -1- Worksheet by Kuta Software LLC 13) 9 + 6 ÷ (8 − 2) 14) 4(4 ÷ 2 + 4) 10 15) 6 + (5 + 8) × 4 24 16) 6 × 6 − (7 + 5) 58 17) (9 × 2) ÷ (2 + 1) 24 18) 2 − (4 + 3 − 6) 6 19) 7 × 7 − (8 − 2) 1 20) 9 − 7 − 6 ÷ 6 43 21) (4 − 1 + 8 ÷ 8) × 5 1 22) (10 × 2) ÷ (1 + 1) 20 23) 7 × 9 − 7 − 3 × 5 10 24) 8 − 1 − (18 − 2) ÷ 8 41 5 Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©T w2u0w1x1T 2KkuPt2aZ 6ScoYfPtQwlaqrFeQ CLSLkCV.l Q eABlXlb arzizgAh1tBsW 0rfensYePrkv7e9dg.q W CMSaydjeH dwniMtNhz bI1nwfiihnVivt6e1 MParuey-TADlBglegbmrvaw.V -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Evaluating Variable Expressions Date________________ Period____ Evaluate each using the values given. 1) n 2 − m; use m = 7, and n = 8 2) 8( x − y); use x = 5, and y = 2 3) yx ÷ 2; use x = 7, and y = 2 4) m − n ÷ 4; use m = 5, and n = 8 5) x − y + 6; use x = 6, and y = 1 6) z + x ; use x = 1, and z = 19 7) y + yx; use x = 15, and y = 8 8) q ÷ 6 + p; use p = 10, and q = 12 9) x + 8 − y; use x = 20, and y = 17 10) 15 − (m + p); use m = 3, and p = 10 11) 10 − x + y ÷ 2; use x = 5, and y = 2 12) p − 2 + qp; use p = 7, and q = 4 ©w u26011B1r 9KvuttZaQ 1SgoyfftDwXa5rCeI wLlL6CL.w f uAUlZll MrDiMgzh7tGsd srIetsxeQrBvSeFdd.D D BMLaldBet Tw5i0tuhe qIfn5fKi9nHiitXeG 9P3roeS-5AdlxgMehbkrdaL.F 3 -1- Worksheet by Kuta Software LLC 13) zy + 4 y; use y = 5, and z = 2 14) b(a + b) + a; use a = 9, and b = 4 15) p 2 ÷ 4 − m; use m = 3, and p = 4 16) x( y ÷ 3) ; use x = 4, and y = 9 17) 4 + m + n − m; use m = 4, and n = 9 18) qp + q − p; use p = 7, and q = 3 19) mn ÷ 6 + 10; use m = 7, and n = 6 20) h + j ( j − h); use h = 2, and j = 6 2 21) (b − 1) + a 2 ; use a = 6, and b = 1 22) y( x − (9 − 4 y)); use x = 4, and y = 2 23) x − ( x − ( x − y 3 )); use x = 9, and y = 1 24) j (h − 9) 3 + 2; use h = 9, and j = 8 2 ©r a2g0m1d1J OK8uFtMaP rSIoDfztrwSaurveV LLTLkCY.k J 1AOl0lm OrgiVgSh8tVsc ZrAegsoeErbvfeMdy.7 8 KM4aRdgec vwyiJtbhc 5IlnGfniknvixtdej oPcrDey-1ASlbg0eablrSag.D -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Evaluating Variable Expressions Date________________ Period____ Evaluate each using the values given. 1) n 2 − m; use m = 7, and n = 8 2) 8( x − y); use x = 5, and y = 2 57 3) yx ÷ 2; use x = 7, and y = 2 24 4) m − n ÷ 4; use m = 5, and n = 8 7 5) x − y + 6; use x = 6, and y = 1 3 3 6) z + x ; use x = 1, and z = 19 11 7) y + yx; use x = 15, and y = 8 20 8) q ÷ 6 + p; use p = 10, and q = 12 128 9) x + 8 − y; use x = 20, and y = 17 12 10) 15 − (m + p); use m = 3, and p = 10 11 11) 10 − x + y ÷ 2; use x = 5, and y = 2 2 12) p − 2 + qp; use p = 7, and q = 4 6 ©4 P2a0F1r19 mKvustnaN zSxoifFtWwHayrFe9 ALzLfCz.l T pAvlFlS grfiYgYhOtrsf 9rYersnenrxvSeVdE.s 9 JMqaddpev 2wtivtYhq 6IhngfgiJnPiztReQ 7P4rIek-aAAlRgPerbsrOah.L 33 -1- Worksheet by Kuta Software LLC 13) zy + 4 y; use y = 5, and z = 2 14) b(a + b) + a; use a = 9, and b = 4 30 61 2 15) p ÷ 4 − m; use m = 3, and p = 4 2 16) x( y ÷ 3) ; use x = 4, and y = 9 1 36 17) 4 + m + n − m; use m = 4, and n = 9 18) qp + q − p; use p = 7, and q = 3 13 17 19) mn ÷ 6 + 10; use m = 7, and n = 6 20) h + j ( j − h); use h = 2, and j = 6 17 26 2 21) (b − 1) + a 2 ; use a = 6, and b = 1 22) y( x − (9 − 4 y)); use x = 4, and y = 2 6 36 23) x − ( x − ( x − y 3 )); use x = 9, and y = 1 24) j (h − 9) 3 + 2; use h = 9, and j = 8 8 2 Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©t x2Z041M1I SK3umt2al QShoBf3tIwSavrSew CLtLfCp.D c cAdlWlw UroiGgeh9tlsp DrYeTs3eHrZvfeFdP.0 P UMya4dfeL SwpimtAhU OIpnjfsiwnFiBtXeV GPFrJew-cAClsgseObXriaD.1 -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Proportions Date________________ Period____ State if each pair of ratios forms a proportion. 1) 4 20 and 2 6 2) 3 18 and 2 8 3) 4 16 and 3 12 4) 4 8 and 3 6 5) 12 3 and 24 4 6) 6 2 and 9 3 Solve each proportion. 7) 10 8 = k 4 8) m 10 = 10 3 9) 2 7 = x 9 10) 3 7 = x 10 ©h N2g0V1C16 QKAuItKaT bS0oxfatowwa3r3eZ wLQLaCi.m a wAqlplq PreiMgch2tXsI ErOeWsteyruvQeKdm.Y o 5M9audxeh Tw8iktFht HI9nBfLihnDivt6eY 5PUrjeS-HAklMgjewbOrsac.Z -1- Worksheet by Kuta Software LLC 11) 4 2 = 9 x 12) 6 3 = a 8 13) 8n 8 = 8 3 14) 7 a = 9 5 15) p 13 = 8 2 16) 3 v = 13 3 17) 10 2 = 12 n 18) 11 r = 10 11 19) x 7 = 9 14 20) a 11 = 10 14 21) v 10 = 12 2 22) 6 5 = 14 n ©z 42E0I1412 nKHuRt6as 6SEoHfKtKwWaSr7ef YLhL0C6.B 2 BABlfll jrtimgjhCtqsM Lrreesue3rkvmemdk.x H RMFa2dmeS mwri7t2hK 9IonHfci3nNiGtfe0 APnrGeH-wAYlegQeXbfrNah.g -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Proportions Date________________ Period____ State if each pair of ratios forms a proportion. 1) 4 20 and 2 6 2) No 3) 4 16 and 3 12 No 4) Yes 5) 12 3 and 24 4 3 18 and 2 8 4 8 and 3 6 Yes 6) No 6 2 and 9 3 Yes Solve each proportion. 7) 10 8 = k 4 8) {5 } 9) 2 7 = x 9 {33.33} 10) {2.57} ©u w2Q0f1G1Y 9KXudtKaI aSuoHfRtCwda5rReZ 2LqLgCk.C N 1AqlnlS PrZiTggh8tIs9 yrnersce7r8v9e2da.1 g ZMLakdWez NwwiCt6hh WIInAfoiknzi6t4e2 wP5r7eE-FAQlMgae1bXrWa2.l m 10 = 10 3 3 7 = x 10 {4.28} -1- Worksheet by Kuta Software LLC 11) 4 2 = 9 x 12) {4.5} 13) 8n 8 = 8 3 {16} 14) {2.66} 15) p 13 = 8 2 10 2 = 12 n 16) x 7 = 9 14 18) v 10 = 12 2 11 r = 10 11 {12.1} 20) {4.5} 21) 3 v = 13 3 {0.69} {2.4} 19) 7 a = 9 5 {3.88} {52} 17) 6 3 = a 8 a 11 = 10 14 {7.85} 22) {60} 6 5 = 14 n {11.66} Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©W D22071T1z 6K4u3txaa HSfoKfFtswYaprbeR wLOLfCq.r 0 GArlslY erDiSgnh8tgs4 brqe5sVefrMvgeTdX.3 c hMDaJdUe6 jwdibtEhp wItnpfOiCn3i2tteL ZPQrBeI-IA7lpgUeHber3ao.b -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Similar Figures Date________________ Period____ Each pair of figures is similar. Find the missing side. 1) 2) x 3 9 1 3 12 x 20 3) 4) 4 x 16 8 5 x 4 8 5) 6) 2 6 24 14 1 9 x x 7) 8) 10 10 99 x 100 9 ©l u2b091d1C wKmu8tcag eSXoPfdtzwjafrOep CLfL6CO.N D aAilAlY lrfiNg7hVtvsK erIeZstexrpvkewdd.R X mMlaVdVeW gwfiGtahQ lIpnTfSien8iMtxe3 TPcr1eZ-hAflogCe6bDrhaj.0 10 x -1- Worksheet by Kuta Software LLC 9) 10) 5 11 x x 6 22 16 48 11) 12) 3 2 x x 20 12 13) 14) 90 14 10 10 56 x 40 36 3 14 60 60 7 4 14 126 x 56 15) 16) 9 12 84 x 54 30 11 x 10 60 12 84 17) 9 18) 90 x 8 3 2 3 12 13 13 130 130 x 90 ©R L2Q0w111g AKfuhtWaw 9SSoofatcwKa3rheN bLnLHCj.O j MAXlClM TrMiegvhKtIsx tr0eLsceTrmvHebdN.o l 1MOahdJeS lwpintUhd MIQnTf3idnzibtneo sPdraek-CAmlwg0eGbwr0aT.g -2- Worksheet by Kuta Software LLC 19) 20) x 39 13 3 3 13 1 1 x 39 11 44 52 4 21) 22) 91 7 14 1 8 1 x 91 11 7 112 x 112 4 52 23) 14 8 196 12 12 14 168 168 x 24) 21 12 4 3 x 84 91 28 ©j M2k0A171t 2Ktu9tQaA ySwo0fGtnwqa0rZeC vLfLwCS.2 v 9AblPlr WreiKgLhEthsq rrHeOsAeKrBvVedd9.q S wMPakd7eX 7wQintwhM uIJn6fEi4njiPtRe1 7PprZej-jABlPgOedbkr4aQ.s -3- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Similar Figures Date________________ Period____ Each pair of figures is similar. Find the missing side. 1) 2) x 3 9 1 3 12 x 3 20 5 3) 4) 4 x 16 8 5 x 2 4 8 10 5) 6) 2 6 24 14 1 9 x x 7 36 7) 8) 10 10 99 x 100 9 10 x 110 ©S D2E0I1f1m nK6untGaL MS1oLfztgwUavrIeo QLUL3C2.v M EA7lSln DreiSgyhgtHsf yrpeMsBejr9vieVdp.Y 1 kM1axdke7 7wQiQtvha 8IknrfjienZidtZeX fPVrSeZ-OA6lEgqeGbIrqaD.f 100 -1- Worksheet by Kuta Software LLC 9) 10) 5 11 x x 6 22 16 48 40 8 11) 12) 3 2 x x 20 12 60 60 30 12 13) 14) 90 14 10 10 56 x 40 36 3 14 7 4 14 126 x 56 63 12 15) 16) 9 12 84 x 54 30 11 x 10 60 12 5 84 77 17) 9 18) 90 x 8 3 2 3 12 13 13 12 130 130 x 90 9 ©e t2N0E1O1A qKeuFtoaf qSlobfktewxaMr4ey pL6LuCi.E Z RAfl2lC ErhiagihjtXsB nrIeoste5rwv0eYdn.r F kMraVdLer 4wtiAtThq IIjn5fUimnbi8tLer UPlrCes-hAhlQgZe5borRag.G -2- Worksheet by Kuta Software LLC 19) 20) x 39 13 3 3 13 1 1 x 39 11 44 13 52 4 16 21) 22) 91 7 14 1 8 1 x 91 11 7 112 x 112 4 52 8 143 23) 14 14 196 12 12 14 168 168 x 196 24) 21 12 4 3 x 84 91 28 13 Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©v X2R0p1s1H lKbuVtUah DSLoNfotIwraYrwet YLYLHCu.R 0 HA9lhlF NrWiQgyhLtxss vreeksGeJrmvoe2dn.B l OMjaqdeeB iwFintQhe cI7nZfUilnci2tOe0 BP9rwe1-qAvlZgieKb8riaI.e -3- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Multi-Step Equations Date________________ Period____ Solve each equation. 1) 6a + 5a = −11 2) −6n − 2n = 16 3) 4 x + 6 + 3 = 17 4) 0 = −5n − 2n 5) 6r − 1 + 6r = 11 6) r + 11 + 8r = 29 7) −10 = −14v + 14v 8) −10 p + 9 p = 12 9) 42 = 8m + 13m 10) a − 2 + 3 = −2 11) 18 = 3(3 x − 6) 12) 30 = −5(6n + 6) ©O C2W0l1c1O zKZuGtVaY CSUo6fgtewkaGrPen 5LbLZCU.3 Y NAElolp Pr2iMgahUtwsj 7rXeQsueYrHvjeddM.0 0 OM8afdHeT lwoi1tIhA TIwnRfviYnsi8tReD uPnrReY-7AhlegNeEb0rcab.Q -1- Worksheet by Kuta Software LLC 13) 37 = −3 + 5( x + 6) 14) −13 = 5(1 + 4m) − 2m 15) 4(− x + 4) = 12 16) −2 = −(n − 8) 17) −6(1 − 5v) = 54 18) 8 = 8v − 4(v + 8) 19) 10(1 + 3b) = −20 20) −5n − 8(1 + 7n) = −8 21) 8(4k − 4) = −5k − 32 22) −8(−8 x − 6) = −6 x − 22 23) 8(1 + 5 x) + 5 = 13 + 5 x 24) −11 − 5a = 6(5a + 4) 25) −5(4 x − 2) = −2(3 + 6 x) 26) 5(2 x + 6) = −4(−5 − 2 x) + 3 x ©U n210b1G1I 6KNuft7ai 1SSo0fbtowVa8rMeP mLUL9Cd.x q BABlXl4 TrCi5g1hqtmss urOecsMedr7vUeVd8.r v 5MRa4dyeN Ewmidt6hD yIDnmf7iZnViMtyeC ePQrje1-WATlSgvehbCrFat.h -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Multi-Step Equations Date________________ Period____ Solve each equation. 1) 6a + 5a = −11 2) −6n − 2n = 16 {−1} 3) 4 x + 6 + 3 = 17 {−2} 4) 0 = −5n − 2n {2 } 5) 6r − 1 + 6r = 11 {0 } 6) r + 11 + 8r = 29 {1 } 7) −10 = −14v + 14v {2 } 8) −10 p + 9 p = 12 {−12} No solution. 9) 42 = 8m + 13m 10) a − 2 + 3 = −2 {2 } 11) 18 = 3(3 x − 6) {−3} 12) 30 = −5(6n + 6) {4 } ©W 82G0E1U16 IKpuctMa2 DS7oHf3t2weairQeJ CLwLsCr.v T 9AllblZ MrjifgWhpt1s3 Sr5ejsZe5rYvteOde.u V AMkaldMeb Zw8iLtrhs cI7n2f4iBnXiyt3et 4PbrCe6-6AulAgjeqbFrbas.j {−2} -1- Worksheet by Kuta Software LLC 13) 37 = −3 + 5( x + 6) 14) −13 = 5(1 + 4m) − 2m {2 } 15) 4(− x + 4) = 12 {−1} 16) −2 = −(n − 8) {1 } 17) −6(1 − 5v) = 54 {10} 18) 8 = 8v − 4(v + 8) {2 } 19) 10(1 + 3b) = −20 {10} 20) −5n − 8(1 + 7n) = −8 {−1} 21) 8(4k − 4) = −5k − 32 {0 } 22) −8(−8 x − 6) = −6 x − 22 {0 } 23) 8(1 + 5 x) + 5 = 13 + 5 x {−1} 24) −11 − 5a = 6(5a + 4) {0 } 25) −5(4 x − 2) = −2(3 + 6 x) {−1} 26) 5(2 x + 6) = −4(−5 − 2 x) + 3 x {2 } {10} Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©q D2m0e1D1D PKIuptvaT FSHoofvtgwoa7r6eB sLyLcCH.z d ZAglxla krzidgvhatUs9 wr4ePs2eRrpvWeRd7.g X aMxaEdVeD Zw0ictzha wIcnofMijnNiLt2e4 xPAreeF-NAOlEgveUbMrqar.v -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ One-Step Equation Word Problems Date________________ Period____ 1) Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in? 2) At a restaurant, Mike and his three friends decided to divide the bill evenly. If each person paid $13 then what was the total bill? 3) How many packages of diapers can you buy with $40 if one package costs $8? 4) Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. How much money did he receive? 5) Last week Julia ran 30 miles more than Pranav. Julia ran 47 miles. How many miles did Pranav run? 6) How many boxes of envelopes can you buy with $12 if one box costs $3? 7) Amanda and her best friend found some money buried in a field. They split the money evenly, each getting $24.28. How much money did they find? 8) Jenny wants to buy an MP3 player that costs $30.98. How much change does she receive if she gives the cashier $40? ©x 92t0f1h1R HKPuztaaG MSCoyfptuwcahrued iLVL1Cx.G L YAzl3lp 3rMitgnhCt3sT ZraeXsIefryvKesdp.8 f mMga3deeV wwFiRtOhy kIjnKfAi0nciytZeN QPmrPeT-tAplmgne8b2rQai.C -1- Worksheet by Kuta Software LLC 9) Last Friday Adam had $22.33. Over the weekend he received some money for cleaning the attic. He now has $32. How much money did he receive? 10) After paying $5.12 for a salad, Norachai has $27.10. How much money did he have before buying the salad? 12) Your mother gave you $13.32 with which to 3 buy a present. This covered of the cost. 5 How much did the present cost? 1 cups of 4 1 sugar. Amy has already put in 3 cups. 9 How many more cups does she need to put in? 11) A recipe for cookies calls for 3 13) If the weight of a package is multiplied by the result is 40.5 pounds. Find the weight of the package. ©w o2V0J1y1e TKXu0tGac ASSo7fEtKwyaIrqes ULYLJC2.o s fA8lelj crHiogzh0tZsq Xrdeys8e3rsvleCdt.d r bMBaWdaeQ 8wiiYtLhS OIZnAfNiZnniEtveN MPXrFej-5AylpgZewbQrIaE.W 5 7 14) A stray dog ate 12 of your muffins. That 3 was of all of them! With how many did 10 you start? -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ One-Step Equation Word Problems 1) Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in? Date________________ Period____ 2) At a restaurant, Mike and his three friends decided to divide the bill evenly. If each person paid $13 then what was the total bill? $52 5 3) How many packages of diapers can you buy with $40 if one package costs $8? 5 4) Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. How much money did he receive? $12 5) Last week Julia ran 30 miles more than Pranav. Julia ran 47 miles. How many miles did Pranav run? 6) How many boxes of envelopes can you buy with $12 if one box costs $3? 4 17 7) Amanda and her best friend found some money buried in a field. They split the money evenly, each getting $24.28. How much money did they find? 8) Jenny wants to buy an MP3 player that costs $30.98. How much change does she receive if she gives the cashier $40? $9.02 $48.56 ©1 x2Q0F1A11 pKSuYthaL iSMoUfvt7wgaKrgeh GLpLbCI.T Q eAulylW er7iwggh6tFsf YrGepsqe9rKvde8di.R d IM9aodCeJ Nw6iMtehd AIAnpfoiWnyiytMeH gPBrVe5-BAnlOgWefb6rIaX.A -1- Worksheet by Kuta Software LLC 9) Last Friday Adam had $22.33. Over the weekend he received some money for cleaning the attic. He now has $32. How much money did he receive? 10) After paying $5.12 for a salad, Norachai has $27.10. How much money did he have before buying the salad? $32.22 $9.67 12) Your mother gave you $13.32 with which to 3 buy a present. This covered of the cost. 5 How much did the present cost? 1 cups of 4 1 sugar. Amy has already put in 3 cups. 9 How many more cups does she need to put in? 11) A recipe for cookies calls for 3 $22.20 5 36 13) If the weight of a package is multiplied by the result is 40.5 pounds. Find the weight of the package. 5 7 14) A stray dog ate 12 of your muffins. That 3 was of all of them! With how many did 10 you start? 56.7 40 Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©f X2G0Y1q10 zKkuztLa2 2S9okf5tAwRaZr9e3 ZLlLbCz.1 o zAWlPlX vrRiBgchFtksJ Srqe8sfeyrwvEeddB.H a CMyavd5er jwtiFtThk nIJnZftiQnoimtIeS KPIrdeE-8A0lsgxe6bFrFa5.0 -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Naming Decimal Places Date________________ Period____ Write the name of each decimal place indicated. 1) 725 2) 7,823 3) 199 4) 11,717,555 5) 9,053,496 6) 709,758,968 7) 105,016 8) 43,105 9) 8.68354 10) 9.6456 11) 1.87605 12) 5.642141 ©i l2k0I1n1J 3Knuqtgaw uSFoCfQtLwNaBrveG XLDLQCc.P u uABlqlA OrPiNglhKtzsT OrFeasceBrjvWesdv.q s xMDa1dXeY 0waivtLhO pIgnmfdiYn0iztUeJ kPdrYe1-xA7lhgzeibCr7ad.A -1- Worksheet by Kuta Software LLC 13) 6.49890 14) 7.111 15) 2.74939 16) 5.2432 17) 32.658297 18) 6,721.86 19) 69,042,020 20) 9.69 21) 537,225.88 22) 469,523.77 23) 3,376,483,008 24) 639,606,650 ©q v2t0q1y1Z fKEu6t4ab sShoaf2tjwtaeroeo LLvLSCW.W i 5Akllly Ur6iIgvhXtTsH GrYeHsKe6rlvLe7d7.B 2 aMjaOd5eD lwIi4tKhn DIQnVfyiwnFiytkey KP4rIeV-tAxlDgWeEb2rQay.e -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Naming Decimal Places Date________________ Period____ Write the name of each decimal place indicated. 1) 725 2) 7,823 ones 3) 199 ones 4) 11,717,555 ones 5) 9,053,496 ten thousands 6) 709,758,968 hundreds 7) 105,016 ten thousands 8) 43,105 thousands 9) 8.68354 tens 10) 9.6456 ten-thousandths 11) 1.87605 thousandths 12) 5.642141 hundredths ©J Y2A0K1y1p KKiuwtaa0 ASkoTfjt7wYaurTef XLpL0CT.9 9 1AAlglD 1r3icgVhlt6sS Kr1eGsIeBrxvae7dr.M z pMNa5dBej 1wSiatch2 FItnffpiUnuiqtCeK RP7rXei-wA5lrgxeMb1rGae.I ten-thousandths -1- Worksheet by Kuta Software LLC 13) 6.49890 14) 7.111 ten-thousandths 15) 2.74939 tenths 16) 5.2432 hundredths 17) 32.658297 tenths 18) 6,721.86 hundred-thousandths 19) 69,042,020 ones 20) 9.69 hundred thousands 21) 537,225.88 tenths 22) 469,523.77 hundreds 23) 3,376,483,008 hundreds 24) 639,606,650 hundred millions hundred millions Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©b r2j0w1G1t rKEu9traX FSwoFfSt6wFaorVec TLKLECN.N g QAvlUl4 Gr6ixgRhct8si LrSeYsSenrvvveLdX.m f AMpa3dcew SwTiatshw mImnjfgiZnmi1tUeX vP0rWe8-nA8lcgUeJbOrVa6.q -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Divisibility and Factors Date________________ Period____ State if the first number is divisible by the second number. 1) 60 by 2 2) 49 by 6 3) 92 by 10 4) 72 by 6 5) 66 by 3 6) 72 by 3 7) 684 by 9 8) 555 by 3 9) 608 by 2 10) 767 by 9 11) 708 by 6 12) 780 by 10 ©a T2w0C1k1X FKyuAtuaa ASxoxfCtiwZaPr0er hLpLJC7.2 q oAQlvlO IrHicg6hqt6sT ornersje5rwvGe2dy.3 O EMoaVdoea 8wWiat9h4 5IwnEf4i6npi4tIe4 yParWeZ-HAplsgre6blrVaB.s -1- Worksheet by Kuta Software LLC Each number is divisible by which of the following: 2, 3, 5, 6, 9, 10? 13) 319 14) 411 15) 455 16) 414 17) 382 18) 256 19) 492 20) 410 21) 297 22) 425 23) 9942 24) 8938 25) 7613 26) 7849 ©9 n2i0C181Z XKxuctJaT VS4oifztUw1a5rAeF 9LFLxC3.q w KAplllD Zr4iXgWhQtIsz qrVensNeVrSvOeLdE.f m gMEaFdpe7 vwLiGtVhR QIXnCf0iinBiwtnei 0PvrPeO-WAnlNgke8bVrGaa.p -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Divisibility and Factors Date________________ Period____ State if the first number is divisible by the second number. 1) 60 by 2 2) 49 by 6 Yes 3) 92 by 10 No 4) 72 by 6 No 5) 66 by 3 Yes 6) 72 by 3 Yes 7) 684 by 9 Yes 8) 555 by 3 Yes 9) 608 by 2 Yes 10) 767 by 9 Yes No 11) 708 by 6 12) 780 by 10 Yes Yes ©u 1290v1s1g RKNuPtaag RSZoNfttrwKaCrZeC KLZLVCT.r B tAalslk 6rIiNgYhotssk crfeDsAeNrAvYepd6.c u 0MdamdVeO 3woiwtmhL HISnWfVienYiLtoel 1PzroeJ-tAAlegYeXb8rua3.e -1- Worksheet by Kuta Software LLC Each number is divisible by which of the following: 2, 3, 5, 6, 9, 10? 13) 319 14) 411 None 15) 455 3 16) 414 5 17) 382 2, 3, 6, 9 18) 256 2 19) 492 2 20) 410 2, 3, 6 21) 297 2, 5, 10 22) 425 3, 9 23) 9942 5 24) 8938 2, 3, 6 25) 7613 2 26) 7849 None None Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©z o2n0B1l1B 9K5uutla0 ySHoafvtnwXaLryeJ eLmLXCx.E B DAHl1lP qryiIgZh8t1sf yr1eQsEexrnvfeedF.f D kMOaCdoe1 ZwQi8t3ha rITnIfYixnviDt1eg SPDrMeA-3A4lHgVehbKrra6.t -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Factors and Factorization Date________________ Period____ List all positive factors of each. 1) 30 2) 22 3) 28 4) 16 5) 60 6) 87 7) 68 8) 99 9) 85 10) 72 11) 96 12) 74 13) 86 14) 75 ©Q Q250q1j15 0Kjubtgav iSSolfBtAwmarr0eH dLnLNCp.2 v SAXlSlS arCi9gIh4tdsu 5rceEsPeMrAvbecdp.n b TMnakdjet GwAi2tXhv zIxnFfmimntistBeW OPVrSeR-wATlbguepbnruaO.1 -1- Worksheet by Kuta Software LLC Write the prime-power factorization of each. 15) 48 16) 35 17) 46 18) 40 19) 100 20) 66 21) 75 22) 72 23) 65 24) 81 25) 80 26) 54 27) 972 28) 660 ©t m2O0q191N 4KCuytKag pSdoFf8tQwla7rDer 1LmLqCO.u l CAMlVla mroingMhYtFsw 4rmeXsSeHrEvzead2.S g LMUaJd6eS PwCiot7hP XIZn5foijn6iMt8en VP3rKel-VAplZgzegbPrDag.O -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Factors and Factorization Date________________ Period____ List all positive factors of each. 1) 30 2) 22 1, 2, 3, 5, 6, 10, 15, 30 3) 28 1, 2, 11, 22 4) 16 1, 2, 4, 7, 14, 28 5) 60 1, 2, 4, 8, 16 6) 87 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 7) 68 1, 3, 29, 87 8) 99 1, 2, 4, 17, 34, 68 9) 85 1, 3, 9, 11, 33, 99 10) 72 1, 5, 17, 85 11) 96 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 12) 74 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 13) 86 1, 2, 37, 74 14) 75 1, 2, 43, 86 ©F Q2l0B1k1X yKBuMtka6 USKoYfftXwQa5raeR ULWLOCr.D Q lA3lLlv PrxiUgSh8tVsT lr9emsSe8rHveeAdF.C i cMra8does cwhiptrhc pIInbfyinn4iQt8ep VPMrpeA-BAPlJgYeQbUrCaD.v 1, 3, 5, 15, 25, 75 -1- Worksheet by Kuta Software LLC Write the prime-power factorization of each. 15) 48 16) 35 4 5⋅7 2 ⋅3 17) 46 18) 40 3 2 ⋅ 23 19) 100 2 ⋅5 20) 66 22 ⋅ 52 21) 75 3⋅5 2 ⋅ 3 ⋅ 11 22) 72 2 23) 65 3 2 ⋅3 24) 81 5 ⋅ 13 25) 80 3 4 26) 54 4 2 ⋅5 27) 972 2 2⋅3 3 28) 660 22 ⋅ 35 2 2 ⋅ 3 ⋅ 5 ⋅ 11 Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©n D2x0c1g1T GKeuItxai jS1o6fCt0wgamrweC VL0LuCd.Y e fAYlglN VrViVgJhhtIs6 PrLelsKe5rCvbeqdR.1 Y TMXandneq rwdiatzhm nIAnTf8iSnWiMtXem aPWrIe2-dAPlDgxeqbIrraW.B -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Greatest Common Factor Date________________ Period____ Find the GCF of each. 1) 39, 6 2) 24, 28 3) 40, 10 4) 39v, 30uv 5) 35n 2 m, 21m 2 n 6) 30 y 3 , 20 y 2 7) 54, 45 8) 25, 55 9) 68, 34 10) 54, 27 11) 55, 75 12) 66 yx, 30 x 2 y 13) 60 y, 56 x 2 14) 36 xy 3 , 24 y 2 15) 18 y 2 , 54 y 2 16) 80 x 3 , 30 yx 2 17) 105 x, 30 yx, 75 x 18) 140n, 140m 2 , 80m 2 ©R 32S0Z181V AK3uvtza7 2SOo2f5tdw3aNrleZ yLJLfCs.j k wARlUlR Rr6iFgThWtBsW SrxeHsbeZr3vNe2dQ.s j 0MHaddSeR 4wxiLtxhv 5IunPf0ihnYi5taeY JPNrIeW-LAAlKgWeGbsrjaB.q Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Greatest Common Factor Date________________ Period____ Find the GCF of each. 1) 39, 6 3 3) 40, 10 10 5) 35n 2 m, 21m 2 n 2) 24, 28 4 4) 39v, 30uv 3v 6) 30 y 3 , 20 y 2 7nm 10 y 2 7) 54, 45 8) 25, 55 9 9) 68, 34 34 11) 55, 75 5 13) 60 y, 56 x 2 4 15) 18 y 2 , 54 y 2 18 y 2 17) 105 x, 30 yx, 75 x 15 x 5 10) 54, 27 27 12) 66 yx, 30 x 2 y 6 yx 14) 36 xy 3 , 24 y 2 12 y 2 16) 80 x 3 , 30 yx 2 10 x 2 18) 140n, 140m 2 , 80m 2 20 Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©S 72L0I1L19 WKBuvtYa5 lS1offst0wJa6rveU PL6LkCp.S v vA9lNlT grsiYgehvtBsb kr4eisPe8rsvGeddV.W A 3MUa3dgeK 3wmibtxhp pIknnfjionfiXtfeV ePErdec-6AnlogCetberFaz.u Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Least Common Multiple Date________________ Period____ Find the LCM of each. 1) 10, 3 2) 14, 6 3) 15, 6 4) 15, 20 5) 27, 18 6) 4, 30 7) 24, 32 8) 20, 30 9) 24, 36 10) 35, 25 11) 18 xy 2 , 15 y 3 12) 20 x 3 , 16 x 4 ©V A2H0L1w1B GKjuWtVaM ZSEoSfft9wlanrQed 2LZL3C3.A d XAjlmlw ZrSiNgPhQtKsm jrde6sueWrnv1ekdf.V m SMla8ddeZ 1wmiVtEhh vIpnWfsihnSiZtReo oPmr6eD-5ASlsgSeLbYr4ay.y -1- Worksheet by Kuta Software LLC 13) 18, 6v 14) 3 x 2 , 10 15) 20 y, 14 y 2 16) 25 x 2 , 25 y 17) 32u 2 , 14v 2 18) 18m 2 , 24nm 19) 16 x 2 y, 32 x 20) 30ab 3 , 20ab 3 21) 30, 25, 10 22) 28, 14, 21 23) 10, 4, 18 24) 10ba, 20ba, 28ba 25) 8 y 2 , 16 xy, 16 y 26) 28b 2 , 20ab 3 , 16b 4 ©Q O2A0d1q1D eK0unttaZ JSioVf2tXwFaJrtex cLYLsCM.i Y 5Avlmlz qrZiBgMhht5sO 2rOeYsme1rXvleKd4.n h oMUaEdCeD IwZiwtPhW JIankfOiynkimtieL RPLrBes-oA7l6gOewbbrkaa.Y -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Least Common Multiple Date________________ Period____ Find the LCM of each. 1) 10, 3 2) 14, 6 30 42 3) 15, 6 4) 15, 20 30 5) 27, 18 60 6) 4, 30 54 7) 24, 32 60 8) 20, 30 96 9) 24, 36 60 10) 35, 25 72 175 11) 18 xy 2 , 15 y 3 12) 20 x 3 , 16 x 4 90 xy 3 80 x 4 ©w Z2p0d1y1T 7K3ultjau iSjo6f6t5wCaUrweH nL3LfCG.U t 0ACl5lo Vruifg0hetBsT Or4e1s3e5rxv6eQd1.v G iM9aZdTeT kwqictohU nIGn0fdiXndiAt0e3 4PEr4eb-YAZlNgVeVb2roaQ.r -1- Worksheet by Kuta Software LLC 13) 18, 6v 14) 3 x 2 , 10 18v 30 x 2 15) 20 y, 14 y 2 16) 25 x 2 , 25 y 140 y 2 25 x 2 y 17) 32u 2 , 14v 2 18) 18m 2 , 24nm 224u 2 v 2 19) 16 x 2 y, 32 x 72m 2 n 20) 30ab 3 , 20ab 3 32 x 2 y 21) 30, 25, 10 60ab 3 22) 28, 14, 21 150 23) 10, 4, 18 84 24) 10ba, 20ba, 28ba 180 25) 8 y 2 , 16 xy, 16 y 140ba 26) 28b 2 , 20ab 3 , 16b 4 16 y 2 x 560b 4 a Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©Z E2z0n1D1D XK8uZt8ag RS5o0fFtTwSazrdeH VLwLxCM.x X IAflwlm rryiMgWh7tgsW Yr1e8sZeXrWvXe2di.K G kMQayd6eo NwTiNtmhC rIen5fKiNn7iYtaep KPOrAeZ-bAZlagDeWb8rja1.8 -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Simplifying Variable Expressions Date________________ Period____ Simplify each expression. 1) −3 p + 6 p 2) b − 3 + 6 − 2b 3) 7 x − x 4) 7 p − 10 p 5) −10v + 6v 6) −9r + 10r 7) 9 + 5r − 9r 8) 1 − 3v + 10 9) 5n + 9n 10) 4b + 6 − 4 11) 35n − 1 + 46 12) −33v − 49v 13) 30n + 8n 14) 7 x + 31 x 15) 10 x + 36 − 38 x − 47 16) −2(7 − n) + 4 17) −8(−5b + 7) + 5b 18) −4 p − (1 − 6 p) 19) 4 − 5(−4n + 3) 20) −7(k − 8) + 2k 21) 1 + 7(1 − 3b) 22) 3 − 8(7 − 5n) ©q L2o0Z1S1x uKyuCt7av nSioKf4tWwMairjet oLVLUC3.R m lAzlklq prqiUgohNtHsl grzeqsrejrNv5evdi.k 5 HMiaPdue6 9w2ijt4he 9IHnpftipnti1tOeW DPqrre7-5ABlygfeqbCrMaS.F Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Simplifying Variable Expressions Date________________ Period____ Simplify each expression. 1) −3 p + 6 p 2) b − 3 + 6 − 2b 3p −b + 3 3) 7 x − x 4) 7 p − 10 p 6x −3 p 5) −10v + 6v 6) −9r + 10r −4v 7) 9 + 5r − 9r 9 − 4r 9) 5n + 9n 14n 11) 35n − 1 + 46 35n + 45 r 8) 1 − 3v + 10 11 − 3v 10) 4b + 6 − 4 4b + 2 12) −33v − 49v −82v 13) 30n + 8n 14) 7 x + 31 x 38n 38 x 15) 10 x + 36 − 38 x − 47 16) −2(7 − n) + 4 −28 x − 11 −10 + 2n 17) −8(−5b + 7) + 5b 18) −4 p − (1 − 6 p) 45b − 56 2p − 1 19) 4 − 5(−4n + 3) 20) −7(k − 8) + 2k −11 + 20n −5k + 56 21) 1 + 7(1 − 3b) 8 − 21b 22) 3 − 8(7 − 5n) −53 + 40n Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©w 02c0A1j1j FKvuNtqaM JS8oxfWtuwVaDrYeT mLPLVCc.a g GArlDlO xrliRgLh9tSsV urLemsMeNrRvqeOdg.H v EMRa6dzeB iw4iEtAhc 1I7ncfyimnZiGtJem TPVrOe1-UAHlxgwe1brrUaE.K Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ The Distributive Property Date________________ Period____ Simplify each expression. 1) 6(1 − 5m) 2) −2(1 − 5v) 3) 3(4 + 3r) 4) 3(6r + 8) 5) 4(8n + 2) 6) −(−2 − n) 7) −6(7k + 11) 8) −3(7n + 1) 9) −6(1 + 11b) 10) −10(a − 5) 11) −3(1 + 2v) 12) −4(3 x + 2) 13) (3 − 7k) ⋅ −2 14) −20(8 x + 20) 15) (7 + 19b) ⋅ −15 16) ( x + 1) ⋅ 14 ©w e2X0j1n1V gK5uctCaK YSOoufRtwwcayrQes 7L5L2C5.n 5 lADlxlA vrwi1gUhwtxsD gr4eDsWeIrTv2eJdZ.4 v yMZagdXeA DwaiRtYh6 DIpnrfQiunsiKtQeO sPWr5eC-4A7lqgjeabErZaI.S Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ The Distributive Property Date________________ Period____ Simplify each expression. 1) 6(1 − 5m) 2) −2(1 − 5v) 6 − 30m −2 + 10v 3) 3(4 + 3r) 12 + 9r 5) 4(8n + 2) 32n + 8 4) 3(6r + 8) 18r + 24 6) −(−2 − n) 2+n 7) −6(7k + 11) 8) −3(7n + 1) −42k − 66 −21n − 3 9) −6(1 + 11b) −6 − 66b 11) −3(1 + 2v) −3 − 6v 13) (3 − 7k) ⋅ −2 −6 + 14k 15) (7 + 19b) ⋅ −15 −105 − 285b 10) −10(a − 5) −10a + 50 12) −4(3 x + 2) −12 x − 8 14) −20(8 x + 20) −160 x − 400 16) ( x + 1) ⋅ 14 14 x + 14 Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©e c2M0i1e1D GKMuetoan 1S2oWf0tLwxakrWef VLALUCP.o R TArlqlx Or8iZgHhxt9sJ 3rhepsyeqrdvNeZdq.v d vM0aAdven xwKiCtRhq YIon5fdidnWiUtiee 2PXrseT-yA8lzgKe0bCrWaa.V Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Angle Sum of Triangles and Quadrilaterals Date________________ Period____ Find the measure of angle b. 1) 2) 31° 29° 115° b 33° b 3) 4) 123° b 39° b 34° 119° 5) 6) 45° 75° 75° b 26° b 7) 8) 108° b 103° 97° 81° 72° b 77° 9) 10) 105°75° b 86° 109° 71° b ©5 I2M0z1F19 uKduDt2al BS9oifxtEwKaDr0eZ ZLZL1Cx.b 9 tAnlql4 vrZiIgBhkt2sZ srWe6sIeurkvxeYdZ.8 B 6MRa4dleR dw4ibtGh4 hIInuf4irnHiatze7 sPwrgeZ-AA4lBgHelbertad.l -1- Worksheet by Kuta Software LLC 11) 12) 94° 95° 86° b 121° b 59° 72° Find the value of x. 13) 14) (4x + 18)° 45° 77° (7x - 3)° 50° 15) 45° 16) 89° 39° (5x - 6)° 31° 57° (11x + 11)° 17) 18) (2x + 3)° (5x + 16)° 119° 102° 90° 92° 90° 100° 19) 20) 85° (5x - 18)° (x + 37)° 98° (6x + 22)° 69° ©V e2U0E1D1W qKWuOtIa6 3SUoLfXtqwGa0rxek 8L8LUCw.X P EAWlllK vrNi3gphMtKsR Crne0sEeZrkvQexdd.5 d aMKaIdRe6 mw5iTtMh3 NIgnEfSiQnEi2tSeK 2P6rkeP-iAslbgaexbbrBaq.r 80° -2- 100° Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Angle Sum of Triangles and Quadrilaterals Date________________ Period____ Find the measure of angle b. 1) 2) 31° 29° 115° b 33° b 34° 118° 3) 4) 123° b 39° b 34° 119° 18° 27° 5) 6) 45° 75° 75° b 26° b 109° 30° 7) 8) 108° b 103° 97° 81° 72° b 77° 99° 9) 83° 10) 105°75° b 86° 109° 71° b 94° 90° ©M v290A1b1k WKCuFtZau fSWoFf4tRwAa3rJeo LLMLMC2.I u eAxlDlI arGiRgnhHtesx 4rWeLsXeNrrvmerdY.H F bMcaYdbeO kweiKtDhu QIlnAf2i1nhiYtme1 pPkrgee-aAblYgKezbSrNaf.3 -1- Worksheet by Kuta Software LLC 11) 12) 94° 95° 86° b 121° b 59° 72° 108° 85° Find the value of x. 13) 14) (4x + 18)° 45° 77° (7x - 3)° 50° 45° 8 18 15) 16) 89° 39° (5x - 6)° 31° 57° (11x + 11)° 8 9 17) 18) (2x + 3)° (5x + 16)° 119° 102° 90° 92° 90° 100° 29 10 19) 20) 85° (5x - 18)° (x + 37)° 98° (6x + 22)° 69° 21 80° 100° 20 Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©t 3230S1C1Y RK7u4t9af rSKoEfStnwQaOrzeN bLKLXCu.z V fAnlolQ lrMiKgFhmtms0 mrPeIsCelrvvOeddi.A l pM1a9d6e7 swki7t3hu aIhn5foianoiCtZeD CPIrheV-hAzljgresbCrQaH.S -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Area of Triangles Date________________ Period____ Find the area of each. 1) 2) 1.9 km 4.5 mi 5 km 8 mi 3) 4) 2.8 m 1.5 in 3m 4 in 5) 6) 2.9 m 6.6 yd 5m 7 yd ©7 s2h0O131E AKguIt6ad YSmoqfntJwhadrXeK qLILGCs.1 a aA8lWlT 5rNiugNhit5sj Rrsezsze4rTvRe1dW.K 7 XMlaqd7e2 vwyiGtShL 5IPniftiwnciCt6ef sPSrGey-3ARlegVebbqrrak.e -1- Worksheet by Kuta Software LLC 7) 8) 18 cm 14 km 11 km 5 cm 7.4 km 20 km 15.4 cm 9) 10) 14 m 19 km 8m 7m 7.7 km 16 m 11 km 11) 12) 14 m 14 m 18 m 12.1 m 14 m 9.3 m 14 m 12 m 13) 14) 8 ft 16 yd 5.1 ft 6 yd 11 ft ©P d2o0t151Z CKGuhtgaG ZSzoIfXtXwja0rmeq 2LML2CO.q d JASlulm 2rsimgqh3tSsc vrdedsveWrAvUe9dW.H V LMaaPdveI xwNiRtVhz 7IXnGfQivnziUtFeA qP3r3eg-XAElcgTepb5rEaa.P 11 yd -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Area of Triangles Date________________ Period____ Find the area of each. 1) 2) 1.9 km 4.5 mi 5 km 4.75 km² 8 mi 18 mi² 3) 4) 2.8 m 1.5 in 3m 4 in 3 in² 4.2 m² 5) 6) 2.9 m 6.6 yd 5m 7.25 m² 7 yd 23.1 yd² ©V K2i0X1U1a UK2uUtoaV 6S6olfwtIw7a5rAer qLXLtCY.8 n 8AwlZlb 4rdi8gVhPtBsD 6rGeCsbelrqvbeod2.D X sMSaDdNeE iwfiKtdhQ OInnxf9iNnDiwtReu qP5r2e3-KApl2gleCberqay.J -1- Worksheet by Kuta Software LLC 7) 8) 18 cm 14 km 11 km 5 cm 7.4 km 20 km 15.4 cm 74 km² 38.5 cm² 9) 10) 14 m 19 km 8m 7m 7.7 km 16 m 11 km 56 m² 42.35 km² 11) 12) 14 m 14 m 18 m 12.1 m 14 m 9.3 m 14 m 12 m 84.7 m² 83.7 m² 13) 14) 8 ft 16 yd 5.1 ft 6 yd 11 ft 11 yd 28.05 ft² 48 yd² Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©f g2g0C1G1q EKBust1al MSsokfTtrwzaNrgeC WLtLhCZ.5 C lA3lrlc Krni6gVhTt5sx srvehsKehr9v9eDdp.a r 5MtaCdUev 8wdiKt3hg 2IInofniOnBi0t7e1 2PKreeN-qARlyg5eybtrea6.f -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Area of Squares, Rectangles, and Parallelograms Date________________ Period____ Find the area of each. 1) 2) 2m 7.7 m 1 in 1 in 3) 4) 6.9 in 6 in 2.4 in 8 in 5) 6) 1.5 yd 4 in 4 yd 5.9 in 7) 8) 6 yd 6m 5.8 m 5m 18.7 yd 5.8 m 18.7 yd ©e o2X0M1b1Y 1K4u5taaj fSlopfstfwIaqrWer ELQLNC2.M P vAhlLlr qrhiRgfhDtPsc lrbeJsEe0r5vbeNds.1 O yMEaDd7eC Wwiidt1hi RI4nZfCicnjiNtxeZ XPdrIeD-lAqlogVeKbCrhaf.l 6m -1- Worksheet by Kuta Software LLC 9) 10) 14.9 ft 15.1 ft 7 ft 3m 6.6 m 15.1 ft 14.9 ft 11) 12) 14.2 cm 10.2 cm 20 m 10.2 cm 15.2 m 18.8 m 13) 14) 19 in 18 mi 18 in 18 mi 18 in 18 mi 19 in ©A p2g0s1i1z WKFu8tDao mS0oDfytWwGaWrCes RLILuCE.f 3 kAVlSl8 ZrRiWg3hUtNsq JrWeJsFeYrqvTecdf.I v 4MWaCd8eq 7w8iGtkhv TIHnpfRiqnziztJeb RPnrWel-ZAvldgKePbJroae.4 -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Area of Squares, Rectangles, and Parallelograms Date________________ Period____ Find the area of each. 1) 2) 2m 7.7 m 1 in 15.4 m² 1 in 1 in² 3) 4) 6.9 in 6 in 2.4 in 8 in 16.56 in² 48 in² 5) 6) 1.5 yd 4 in 4 yd 5.9 in 6 yd² 23.6 in² 7) 8) 6 yd 6m 5.8 m 5m 18.7 yd 5.8 m 18.7 yd 6m 30 m² 112.2 yd² ©o T2b0e1m1f cKBudt6a9 WS4olfWtnwmasrKen DLjLUCd.p 9 cAjlgls RrnisgrhStTsH vrCegspeZrJvxeVd5.G p 5M2aLdXem 2wciUt5hm EIrnHfuiGnrittzeW NPdrnez-LAjlHgJegb9r9a6.0 -1- Worksheet by Kuta Software LLC 9) 10) 14.9 ft 15.1 ft 7 ft 3m 6.6 m 15.1 ft 14.9 ft 19.8 m² 11) 105.7 ft² 12) 14.2 cm 10.2 cm 20 m 10.2 cm 15.2 m 144.84 cm² 18.8 m 304 m² 13) 14) 19 in 18 mi 18 in 18 mi 18 in 18 mi 19 in 324 mi² 342 in² Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©T D2R0L1k1p wKMu6tgaV JS2oAfutVw4a6rvev cLULvCo.D 5 KAslAlb prbiQgIhhtmsX JrXe9soe6rqvbeUdW.S b HMGahd4eI Kw7iEt5hh UIgnHfpizn9iStDeG fPQrtel-FAPlugxeeb7rNac.O -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Circles Date________________ Period____ Find the circumference of each circle. Round to the nearest tenth. 1) 2) 4.5 m 5 cm 3) 4) 30.2 cm 14 in 5) 6) 26 cm 16.8 cm 7) radius = 12 yd ©F A2r0e181y 0KTuptEa0 vS3oIf7t0wfazrteX 0LWLICy.l N sAHlWlW RrXiigrh5tEsj ZrTeBsHesrivWeWdK.G A rM5aBd0e4 Xwbi5t3hY 1IsnCfsiRn0iKtLeQ QPxrueq-tAFlrgnedbbrKaf.M 8) radius = 5.5 mi -1- Worksheet by Kuta Software LLC Find the area of each. Round to the nearest tenth. 9) 10) 10 cm 12 ft 11) 12) 8m 4m 13) 14) 20 yd 34 ft 15) radius = 8 ft 16) radius = 5 cm Find the diameter of each circle. 17) area = 4π in² 18) area = 49π yd² 19) circumference = 162π yd 20) circumference = 30π yd ©1 U2G0V1d1Y MKOuLt2as OSFoXfHtKw9anr1eG VLQLiC3.r j HA9lrlO MrkiigkhttCsm prmeVsZeYrtvnejdm.G n VMzajdCe9 8wqictxhN 9IEnwfJiUnpimtde8 FPtrseU-wA6lNgGeWblrqaN.x -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name___________________________________ Circles Date________________ Period____ Find the circumference of each circle. Round to the nearest tenth. 1) 2) 4.5 m 5 cm 31.4 cm 28.3 m 3) 4) 30.2 cm 14 in 88 in 94.9 cm 5) 6) 26 cm 16.8 cm 81.7 cm 52.8 cm 7) radius = 12 yd 8) radius = 5.5 mi 75.4 yd 34.6 mi ©l E2T0M1v1b UKGubtaa4 lSIo7f0tCwDaOrmee CL8LEC3.O 0 7AqlFl4 erei1gYhmtqsP CrAeHs3ecrgvteudO.C S TM2acdGep Dwviot9hF kISnJf3iVnQiltSei ZPvrMeZ-iA3lHgYeTbPrra1.w -1- Worksheet by Kuta Software LLC Find the area of each. Round to the nearest tenth. 9) 10) 10 cm 12 ft 314.2 cm² 452.4 ft² 11) 12) 8m 4m 12.6 m² 201.1 m² 13) 14) 20 yd 34 ft 314.2 yd² 907.9 ft² 15) radius = 8 ft 16) radius = 5 cm 201.1 ft² 78.5 cm² Find the diameter of each circle. 17) area = 4π in² 18) area = 49π yd² 4 in 19) circumference = 162π yd 14 yd 20) circumference = 30π yd 162 yd 30 yd Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com ©H H2I0r1z1Y AKkustNaj tS5opfttHw6aerfeX yLkLOCV.s X pACljlp Drki1gbhVtEsR qrJeWsWeZrWv5eQdR.H r SMpaad4ex Dw0iptRhi HIOn6fQibnpi3tneh 4PGruet-kA7lig9eFbcrYaB.b -2- Worksheet by Kuta Software LLC