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Math for rising 7th graders Mr. Theiss' Algebra Readiness Name___________________________ ©R K2B0i1h6A nKquytLaI RSBoDf_tOwHaDrPeG ZLpLUCq.b Y rAPlcl` HrKiygehstdso arXersseYrCvqehdb. Summer Math Work 2016 You should be able to work all operations with INTEGERS. Evaluate each expression. Do NOT use a calculator: 1) 23 + -25 2) -49 + 11 3) -39 - -25 4) 11 + 16 - 45 5) -18 - -15 - 26 6) -50 + -14 + -36 7) 28 + 10 - 3 - 39 8) -34 - -35 + 45 + 13 9) 44 - 39 + 12 + -39 10) -33 + -20 - -39 - 2 You should be able to evaluate all operations with RATIONAL NUMBERS. Evaluate each expression. No Calculators: 11) - 5 1 + 3 2 12) - ( ) 13) - 15) 5 1 + (-2) 6 2 ( ) 1 3 1 7 + -1 - 2 + 4 5 2 5 17) -1 - 2 + 3 2 ( ) 19) - 21) 3 8 1 6 +4 + 5 6 5 1 5 + -3 5 6 14) 1 5 2 3 ( ) 2 3 +1- 3 8 16) -2 - 9 3 + 8 2 ( ) 18) - 20) ( ) 1 1 9 +4 - 2 3 7 ( ) 7 5 1 + + 4 4 8 22) 2 3 2 + -2 8 7 You should be able to SOLVE EQUATIONS involving one and two steps. Solve each equation: 23) -12 = n - 20 24) -11 = r - 17 Worksheet by Kuta Software LLC -1- ©W `2x0Y1F6N \KXujtYau _SUoafytawia`r]eH `LALrCq._ ^ CAMlhl^ ^rnilgShAtIsm trSeusoe[rivLeHdF._ B gMuapdHeH ZwaiMtfh] bImn]fuipnBi[tXeX CPNrjeP-CAEllgQejbgrraa. 25) -13 = a + (-12) 27) 0 = 29) x-7 1 6+x =2 5 26) n = -8 4 28) 198 = 10x + 8 30) 41 = 9b + 5 31) 7x + 7x = 0 32) 1 + 5 p - 3 p = -7 33) 7x - 4x = -27 34) 2 - 3n + 9n = 14 35) -24 = 8 p - 4 - 4 36) 0 = -5v - 4v 37) 3 - 8n - 4n = 27 You should be able to ADD/SUBTRACT DECIMALS. Evaluate each expression. 38) (-1.2) - 4.08 - (-1.7) 39) (-3.3) - 3.2 + (-5.5) 40) (-5.4) - 5.3 + 3.4 41) (-4.3) + 0.4 + 1.9 42) 1.6 + 5.8 + 5.1 - 2.6 You should be able to WRITE EQUIVALENT DECIMALS, FRACTIONS, and PERCENTS. Evaluate each expression. Write each as a fraction. 43) 0.1 44) 0.2 45) 0.954 You should be able to WRITE EQUIVALENT DECIMALS, FRACTIONS, and PERCENTS. Evaluate each expression. Write each as a percent. 46) 0.87 47) 0.08 48) 0.00492 49) 0.22 Worksheet by Kuta Software LLC -2- ©s K2H0r1R6z zKsurttaE WSVoFfft_wnaErWeK YLsLjCL.J N SAIlml^ fr]iIg]hktmsB qreevsuekrxvNewdJ.A e RMPamd_ee hwAi^t\hx `IynyfkiKnNiDtUe^ TPwrTe\-eAglGgOembIrlaD. You should be able to WRITE EQUIVALENT DECIMALS, FRACTIONS, and PERCENTS. Evaluate each expression. Write each as a decimal. 50) 3 4 51) 6 11 You should be able to WRITE EQUIVALENT DECIMALS, FRACTIONS, and PERCENTS. Evaluate each expression. Write each as a fraction. 52) 41.4% 53) 9.1% Evaluate each decimal expression. Find each quotient. NO Calculators: 54) 3.5 ¸ 9.1 56) 55) 7.7 ¸ 3.5 0.4 3.48 You should be able to ROUND DECIMALS to the place specified. Round each to the PLACE indicated. 57) 7.129684 58) 2.321 59) 7.313063 60) 1.57529 61) 5.1179 You should be able to use the DISTRIBUTIVE PROPERTY then COMBINE LIKE TERMS. Simplify each expression. 62) 7x - 4(1 + 5x) 63) -9(5 + 4a) - 6 64) -10(1 - 10r) + 5r 65) -7(4a + 2) - 7 66) 5 - 9(4a + 5) 67) 3(1 + 6x) + 7x 68) -9(-2 + 3v) - 9 69) 6 - 6(5 + 7k) You should know the difference between and factor and a multiple. You should be able to FACTOR numbers, list the GREATEST COMMON FACTOR, and LEAST COMMON MULTIPLE of numbers .List all positive factors of each. 70) 86 71) 54 Worksheet by Kuta Software LLC -3- ©u a2I0z1E6c MK\uRtSaZ aSCoUfhtqw`akrZeq qLeLFCB.s r HAul_ll DrZiegChdttsv Tr]eOs\eHr]vLeNd`.a V PMyamdqeG gwciCthhm NIdngf[iLnFiNtler sPlrxe\-lAElwgVeCbBrUaX. 72) 88 You should know the difference between and factor and a multiple. You should be able to FACTOR numbers, list the GREATEST COMMON FACTOR, and LEAST COMMON MULTIPLE of numbers. List the prime factorization using exponents. 73) 57 74) 70 75) 84 76) 88 You should know the difference between and factor and a multiple. You should be able to FACTOR numbers, list the GREATEST COMMON FACTOR, and LEAST COMMON MULTIPLE of number. Find the LCM of each. 77) 40, 35 78) 33, 21 You should know the difference between and factor and a multiple. You should be able to FACTOR numbers, list the GREATEST COMMON FACTOR, and LEAST COMMON MULTIPLE of numbers. Find the GCF of each. 79) 27, 36 80) 28, 49 81) 30, 24 82) 18, 45 You should be abel to apply the ORDER OF OPERATION to a numeric expression. Evaluate each expression. 83) 3 ´ 2 - 1 84) 10 ¸ (2 ´ 3 - 1) 3 85) 5(3 - 1) - 2 - 3 87) (5 - (5 - 4) ´ 4) ´ 4 86) 18 ¸ 3(6 - 2) - 6 2 Worksheet by Kuta Software LLC -4- ©s U2z0n1U6m fKNuatJaE [SroGfytLwQaRrNea QLxLfCC.` Y SAglYlc \rKilgyhdtVsH xrMeVsteerJvCerdN.G v ZM_a^doeM _w]iythhs QIZn^fniknmiet[eK pPbr_eD-IAdldgsenbgrNae. You should be able to PLOT POINTS ON THE COORDINATE PLANE. Plot each point. 88) B(6, 0) E(6, 5) C(9, 9) F (-3, 4) D(-3, -1) y 10 8 6 4 2 -10 -8 -6 -4 -2 2 4 6 8 10 x -2 -4 -6 -8 -10 You should be able to find the AREA of a circle, quadrilateral, square, and triangle. Find the area of each. Round your answer to the nearest tenth. 89) 90) 5 ft 6 in 91) 92) 1.9 yd 7.7 cm 2.7 yd 7.7 cm 93) 4.3 yd 8 yd Worksheet by Kuta Software LLC -5- ©M Z2o0O1B6\ KKiurtVax [SIoNfBtxwva\rMe] kLzLDCu.m a gA_lplH xr\iogThJt]sD jrPeasVeHrWvzebdN.] B QMXawdBeL Vwfi[tLhy dIBngfninnWiStYes wPPrUen-NAxlkgCe_bBrEaw. You should be able to recognize EQUIVALENT FRACTIONS (ratios). State if each pair of ratios are equivalent. 94) 4 8 and 3 6 95) 8 2 and 12 3 96) 4 2 and 12 3 97) 6 2 and 9 3 98) 11 143 and 9 117 99) 72 9 and 88 11 You should be able to set up EQUIVALENT RATIOS to solve for unknown variables. Solve each proportion. 100) 7 p = 10 5 101) 9 7 = x 9 Y ou should be able to write a number in SCIENTIFIC NOTATION. Write each number in scientific notation. 102) 2100 103) 0.003 104) 7400 Worksheet by Kuta Software LLC -6- ©m _2A0V1g6k ^KJuatZaO YSpoSfDtuwVaRrVeJ nLPLeCU.D y NAulPlJ BroiIgDhytYsq KrCeEsveRrDvGeudI.G B TMLaEdhel KwZiTtVhm FILnzfBiGnMiGtTeY LPcrreS-`AXl^g]eAbjrsar.