Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Linear algebra wikipedia , lookup
Quartic function wikipedia , lookup
Cubic function wikipedia , lookup
Elementary algebra wikipedia , lookup
Quadratic equation wikipedia , lookup
System of polynomial equations wikipedia , lookup
System of linear equations wikipedia , lookup
Median graph wikipedia , lookup
Algebra Semester 1 Final Exam Review A Outcome 1: Order of Operations Outcome 2POWER: Like Terms 1. Simplify. 14÷2(4–2)+5 Simplify. 5. 2. Simplify. 42•2[7–(32–5)] 6. 3. 5𝑥 − (𝑥 + 6) Evaluategiventhatx=-6,y=4,andz=5. y–x+z Outcome 3POWER : Multiple Representation of Data 4. Drawthefourthfigureinthepattern. Then completethetableandgraphtoshowhowthe perimetervarieswiththefigurenumber. Then,usethetabletocreateanequation. 2𝑥 + 3(𝑥 * − 4𝑥) 7. (2y+6)–(8y–3) Outcome 4POWER: Solving Equations Solve. 8. x + 12 = 17 !!−5 9. 3x–12=21 € 10. 3(x–2)+15x=2(13+x) Figure1 Figure2 Figure3 Figure4 f=figurenumber f 1 2 3 4 5 6 7 8 t 11. 3x+90+2x=360 Perimeter Lett=perimeter 12. 20–(3–5x)=22 FigureNumber Equation:t=_______________________ Algebra Semester 1 Final Exam Review A Outcome 8: Solving Compound Inequalities Outcome 5POWER: Write Equations 8. Onecellphoneplancosts$39.95per month.Thefirst500minutesofusageisfree.Each 15. -12<3x–3≤15 minutethereaftercosts$0.35. Forabillof$69.70, howmanyminutesover500wasthecellphone used? 16. x–7≥-8or2x+3<-5 Variable:________________________ Equation:___________________________________ Minutesover:_______________________ 9. Matthas$32.00tospendforgoldfishanda fishtank.Ifafishtankcosts$20.00and goldfishcost$1.50each,whatisthelargest numberofgoldfishMattcanpurchasewith his$32.00? 17. x+5<10and3x≥21 Outcome 9: Write inequality Writethefollowinginequalityforthegraph Outcome 6: Solving Equations w/ multivariables 13. Solve 𝑉 = 𝑙𝑤ℎ for 𝑤 18. 19. 0 14. Solve3x+2y=-18 Outcome 7POWER: Simple Inequalities Solveandgraph. 13. -3v+3≤-12 14. 3 4 5 2x − 6 < 4(x + 3) 1 2 Algebra Semester 1 Final Exam Review A Outcome 10: Determine Function and find domain and range Outcome 12POWER: Slope 20.Circlewhichofthefollowinggraphsofyarenot functionsofx? I. II. IV III. . 3 3 2 2 1 -2 2 4 -4 -2 2 -1 -1 -2 -2 -3 -3 -4 -4 4 4 2 2 5 4 -5 5 -2 -2 -4 -4 Circlethefollowingrelationsthatarenot functionsandstatethedomainandrange. 24. I II x 1 2 3 4 y 1 2 3 4 x 5 5 5 5 III 25. y 1 2 3 4 y 2 2 2 2 27. 22. Morganbabysitsduringthesummerforafamily downthestreet.Eachweekshewillearn$10 plusanadditional$8perhour.Writeafunction, 𝑓 𝑥 ,forMorgan’stotalearningsifsheworks 𝑥 hoursinaweek. V. X Y -4 8 0 12 16 3 -1 2 28. Giventhefollowingfunction: 𝑓 𝑥 = 3𝑥 * − 𝑥 Find: f(-3) Makeaninput/outputtableoforderedpairs andthengraphthefunction. Outcome 11 POWER: Function Notation Whatistheslopeofthelineinthegraphgiven? Outcome 13POWER: Write Function x 1 2 3 4 Whatistheslopeofahorizontalline? y 1 2 3 4 IV x 0 2 4 2 Findtheslopeofthegivenpoints: 3, −2 (3, 7) 26. −2, 5 (6, 1) 1 -5 21. Findtheslopeofthegivenpoints: f(4) Earnings(in$) -4 23. Algebra Semester 1 Final Exam Review A Outcome 15POWER: Write an equation 29. Whatistheslopeofthelinethatyougraphed? 34. Writetheequationofthelinethatpasses throughthepoint(-6,2)andhasaslopeof-5 30. Howdoestheslopeofthislinerelateto Morgan’sjob? 31. HowmuchwillMorganearnifsheworks15 hoursinoneweek?(Showwork!) Writethelinearequationthatpassesthrough thepoints(-4,-6)and(0,0)? 32. 35. HowmanyhourswillMorganneedtoworkto makeatleast$100? Outcome 14POWER: Graph a line 33.Graph 𝑦 = 3 Outcome 16: Slope intercept form 36.Writethefollowinginslopeinterceptform 2x–3y=15 37. Writethefollowinginstandardform y=½x–4 Outcome 17: Write an equation given graph 38. Writetheequationforthefollowinggraph: Algebra Semester 1 Final Exam Review A Outcome 18: Graph X and Y intercept Outcome 21POWER: Systems of Equations 39. Findthexandyinterceptandgraph: 2x–3y=12 7x–y=14 xint:_____yint:______ xint____yint:_____ Outcome 19: Graph inequality 40. Graph 𝑦 ≤ −2𝑥 + 1 42. Solvethesystem −7𝑥 − 2𝑦 = −13 𝑥 = 2𝑦 + 11 Solvethesystem 43. 3𝑥 − 2𝑦 = 20 4𝑥 + 5𝑦 = −4 Outcome 22: Graph system 44. Solvethesystembygraphing. 1 𝑦 =− 𝑥 + 2 2 Outcome 20: Write Inequality 41. Yougoshoppingandyouonlyhave$20. You wanttobuytshirtsthatare$10andapairof shortsthatis$15. Writeaninequality explaininghowmanytshirtsandshortsyoucan buy. 𝑦 = −3𝑥 − 3 Algebra Semester 1 Final Exam Outcome 23 POWER: Write equation 45. Youhaveatotalof$9000toinvest. Youcan splititbetweentwofunds–onepaying8%,the otherpaying12%. Youwouldliketoearn $900ininterest. Howmuchshouldbe investedateachrate? Outcome 25: Systems of Inequalities 46. Graphthefollowingsystemsofinequalities. 𝑦 ≤ −2𝑥 + 1 * 𝑦 > 𝑥+1 : 47. 𝑥 ≤ 2 𝑦 > −𝑥 + 2 Review A