Algebra 1 Midterm Exam REVIEW - Livingston Public Schools

Algebra 1Midterm ExamREVIEWFebruary 2014Name:Date:Teacher:Period:Your midterm examination will consist of approximately: 60 multiple-choice questions – these will be completed on the Scantron. 6 short answer questions – these will be completed in the test booklet. Show your work.The exam will include material from Chapters 1 (1.2, 1.3), 2, 3, 5 (5.1, 5.2, 5.4, 5.5, 5.6), and 6(6.1, 6.2, 6.3, 6.5).NOTE: School policy mandates a penalty for cheating on an exam to be a grade of ZEROfor that exam. The term cheating includes "intent to cheat." NO CELL PHONES. All cellphones must be kept out of sight. If a cell phone is seen during an exam, you will receive agrade of ZERO.All calculators may be checked for inclusion of extraneous material. No papers should beplaced in calculators. No information should be written on the front/back of calculators.The program portion of the graphing calculator will be checked. Any information enteredthere can be considered intent of cheating.Before the examination, clear your calculator of any formulas, notes or any such items, whichcould be perceived as "useful" or providing unfair advantage. The best solution is to RESET andclear the memory completely.The following pages provide a comprehensive review of the materials to be studied for this exam.We will take a few days of class time to review for this exam. Please feel free to stop in on yourown time for further assistance. Good Luck!Mr. Brill, Mrs. Buonomo-Gramata, Ms. Keeble, Ms. Marchegiano, Mr. Peklo, Ms. Simpson, Mr.Waddon, Mrs. Winter

ALGEBRA 1JANUARY 2014Review for MIDTERM EXAMCHAPTER 1:1. Evaluate:(a) when(b)when(d)(c)–when 4 x 2 2 when2. Simplify each expression:(a)(c)(b)(Livingston High School)(d)Page 1(())()

ALGEBRA 1JANUARY 2014Review for MIDTERM EXAM3. Insert grouping symbols to produce the given values for each:(a)(b)CHAPTER 21. State all number systems that apply for each. Choose from the following: N for NATURAL, W forWHOLE, I for INTEGER, Ra for RATIONAL, Irr for IRATIONAL, and R for REAL.(c) 0 35(d) (e)(f) (a) –(g) 2.313(b)(h) 2. Find the opposite of each number:(a)(b) –(c) 3. Simplify: (a) (c) (b) (d) 4. Find the reciprocal of each:(a)25Livingston High School(b) 58(c)Page 2

ALGEBRA 1JANUARY 2014Review for MIDTERM EXAM5. Rewrite each using the distributive property:(a) () (b) – (–) ((c)) 6. Operations with signed numbers. Perform the indicated operation:,(a)()-(b)(())7. Combining like terms. Simplify:b. (a.c.–( –e. (g.)–(– )d.)– (–– )–)f.()()–8. Multiplying & Dividing Expressions. Simplify:a.()d.Livingston High Schoolb.c.e.f.Page 3. /

ALGEBRA 1JANUARY 2014Review for MIDTERM EXAMCHAPTER 31. SOLVE EACH EQUATION:a.(d.–g.j.)()k.(l.– (b.c. –e.f.h.i. – (– )––)–())2. LITERAL EQUATIONS: SOLVE FOR THE INDICATED VARIABLE(A) a x b; solve for aLivingston High School(B) A lw; solve for lPage 4(C) 2L 2w P; solve for w

ALGEBRA 1JANUARY 2014Review for MIDTERM EXAMCHAPTER 5(1) What is the slope of a line that passes through the origin and the point (-2, 1)?11a. b. 2c.d. –222(2) The slope of the line containing an x- intercept of 2 and a y- intercept ofa.b.c.(3) The slope of the vertical line x 8 is:a. undefinedb. 0d.c. 1d. 8(4) The slope of the horizontal line y 8 is:a. undefinedb. 0c. 1d. 8–(5) The slope of the equationb. –4a. 3is:3c.4d. (6) Determine the -coordinate of the ordered pair (a. 4b. -16c. -434e. 8) if it lies on the line:d. -2(7) What are the slope and y-intercept of the equation: 2x 4y 4?11a. slope: ; y-int. 4b. slope: 2; y-int. 4c. slope: ; y-int. 122d. slope:(8) What is the slope of a line perpendicular to x – 3y 4?11a. –3b. 3c.d. 33(9) What is the slope of a line parallel to the line through (2, 3) and (-3, 4)1a. 5b. 7c. d. –55(10) An equation of a line that has slope of 0 and contains the point (0, -2) isa. x 2b. x -2c. y -2d. y x – 2through the point (c.(11) Which line is perpendicular toa.b.)?d.(12) An equation for the line that contains (2, 4) and has an undefined slope isa. y 2x 4b. x 2c. y 2d. y 0((13) Which point is on the graph of the equationa. (Livingston High School)b. ()c. (Page 5))?d. ()1; y-int. –12

ALGEBRA 1JANUARY 2014(14) Write in standard forma.Review for MIDTERM EXAM:b.c.d.(15) The following graph represents what type of correlation?a.b.c.d.Strong NegativeStrong PositiveWeak NegativeWeak Positive(16) Write the equationin slope–intercept form.(17) Write the equation of a line in slope-intercept form that contains the point (2, -9) andhas a slope of –1.(18) Write the equation of a line in slope-int. form that has an x- intercept of -1 and isparallel to the line.(19) Given the following lines:perpendicular or intersecting?and. Are they the same line, parallel,(20) Find the slope of the line from the following graph:(21) Which of the following equations is perpendicular to y 3x 6 through the point ( 3,-4 ):a. y – 4 1/3 ( x-3 )b. y 4 1/3 ( x-3 )c. y 4 -3 ( x-3 )Livingston High SchoolPage 6

ALGEBRA 1JANUARY 2014Review for MIDTERM EXAM(22) Rewrite y - 5 2(x 4) in SLOPE-INTERCEPT FORM.(23) Write an equation in POINT-SLOPE FORM for the line that passes through (5,1) and (-4,-2).(24) Find a point and the slope of the line with equation:y 6 -(x–3)(25) List the domain and range of the following: (1, 0), 3,8 , 2.5, 9 , 6, 4 Does this relation represent a function? Explain why or why not.(26) Find the domain and range for the following: {(1, 2), (-10, 4), (-3, -7), (4, 1), (1, -5)}Does this relation represent a function? Explain why or why not.(27) Given( )( )–a.( ) b.() c.( ) d.( ) e.() f.( ) Livingston High SchoolPage 7

ALGEBRA 1JANUARY 2014Review for MIDTERM EXAMCHAPTER 61. Solve and graph each of the following inequalities:(a)()(c)()()(d) –(e) (g) Livingston High School(b) Page 8(f) (h)

ALGEBRA 1JANUARY 2014Review for MIDTERM EXAM2. Write an inequality describing each graph below:(a) -2 (b) 0 5-2o -153. Graph each solution.(a) –1 x 4(c) 0 y 7.5(b) x 3 or x 44. Solve and graph the following compound inequalities.(b)(a) – (c) –Livingston High School– (d)Page 9(d) k 12 or k 3.5 and

ALGEBRA 1JANUARY 20145. Solve the following absolute value equations. (a)(b)Review for MIDTERM EXAM (c) SAMPLE MULTIPLE CHOICE QUESTIONS1. Solve:––2. Solve: (– )–.A. 117B. –3C. 1611D. 3A. all reals B no solution( )C. x 0D. x -53. Which equation is a translation of “3 times a number decreased by 6 equals 18”?A. 3x 6 18B. 3x – 6 184. Use the formula I Prt and solve for r.Livingston High SchoolA. r C. 6 – 3x 18D. 3x 6 18PtIC. r Page 10B. r I – PtIPtD. r Ipt

ALGEBRA 1JANUARY 2014Review for MIDTERM EXAM5. Which inverse operation can be used to solve the equation 4 y – 8?A. Add 8 to each side.B. Subtract 8 from each side.C. multiply both sides by 8.D. Divide each side by 8.6. Evaluate: -6 –( -12 ) 8A. 26B. 2C. –2D. 147. Evaluate 5 x - 3 if x -2A. 6B.-6C. 0D. 18. Simplify: -2( 2x 6y ) 4( 5x – 3y)9. Simplify:24 x 84A. 1 10. Evaluate: ( 2 )(11. Solve the inequality:12. Solve :–A. 4 -1 orA. 16x 3y)B. 16x–B.A. ––– 7C. 4 orB.–C.B.A.D. 16x – 24yC. 16x 24yC. 7C.D.D D. –B. 5 or 3 -1D. –1 413. What compound sentence is graphed below?A. 2 y 3Livingston High SchoolB. 2 y 3C. y 2 or y 3Page 11D. 2 y 3

ALGEBRA 114. A.Review for MIDTERM EXAM A.15. JANUARY 2014orB.C.orD.C.orD. orB.orGRAPHING AND MATCHINGI.Match the graph to its equation:y14x23Livingston High 𝑦𝑦𝑦𝑦Page 12𝑥𝑥𝑥𝑥𝑥–𝑥

ALGEBRA 1JANUARY 2014Review for MIDTERM EXAMFREE RESPONSE QUESTIONSDIRECTIONS: FOR EACH OF THE FOLLOWING SHOW ALL WORK AND ALL STEPS INARRIVING AT AN ANSWER1. Solve for x:– (––(2. Solve and graph:3. Solve the following Livingston High School)– ( –))– (–) . Check for extraneous solutions.Page 13

ALGEBRA 1JANUARY 20144. A plumber charges a flat rate of 120 and 42 per hour for his work.A) Write an equation to represent the cost c, based on hours of work, h.B) How much will it cost if the plumber works for 9 hours?C) If the total cost is 435, how many hours did the plumber work?Livingston High SchoolPage 14Review for MIDTERM EXAM

ALGEBRA 1JANUARY 2014Review for MIDTERM EXAMANSWERSChapter 12. (a) 14 (b)1. (a) 9 (b) –30 (c) 28 (d) –381 .0416 (c) 3024(d) 103. (a) 14 5 2 8 10 (b) 8 25 2 6 11Chapter 21. (a) I, Ra, R.(b) Ra, R(g) Ra, R. (h) Irr, R.(c) W, I, Ra, R.2. (a) –13 (b) 18.2 (c) –614. (a)52 85(b)(c) –(d) Irr, R3. (a)(e) Ra, R.(b) 3(f) Irr, R.(c) – 115. (a) 6x 12y , (b)(c) 10x 2 15x – 501576. (a) 10 (b) 627. (a)(f)(b)(c)(d)(e)(g)8. (a)(b)(c)or(d) –6(e) –(f)Chapter 31. (a)(g)2. (a)(b)(h)–(c)(i)(b)(d)(e)(j) all reals (k) (l)(f)(c)Chapter 51. a2. b3. a4. b5. c6. c7. c8. a9. c10. c11. a12. b13. b14. b15. bLivingston High SchoolPage 15(d) –2

ALGEBRA 1JANUARY 2014Review for MIDTERM EXAM16.18.17.21. b22. y 2x 1319. Same line20. 223. y– 1 1/3(x – 5) or y 2 1/3(x 4) 24. (3,-6) m -125. Domain: 6, 3,1, 2.5 Range: 9, 4,0,8 It is a function.26. Domain: 10, 3,1, 4 Range: 7, 5,1, 2, 4 It is not a function.1 repeats in the domain27. a. –2, b. 19, c. 7, d. –13, e. –48, f. –4Chapter 61. (a)(b)02(c)(d)(e)(f)(g)(h)2. (a) (b)3. (a)(b)(c)(d) All Reals4. (a)(b)or(c)orLivingston High SchoolPage 16

ALGEBRA 1(d)JANUARY 2014Review for MIDTERM EXAMand5.(a)(b) *(c) * GRAPHING & MATCHING:MULT. CHOICE1. A5. A9. C13. D2. B6. D10. D14. B3. B7. C11. B15. CI. 1 – A. 2 – E. 3 – D. 4 – H.4. C8. D12. AFREE RESPONSE ANSWERS1. Solve for x:– (–2. Solve and graph:–)–( –––()– (–))– – ALL REAL NUMBERSLivingston High SchoolPage 17

ALGEBRA 1JANUARY 20143. Solve. 𝑥4.Review for MIDTERM EXAM𝑥𝑥𝑥Both Solutions Work𝑥𝑥A) Write an equation to represent the cost, c based on hours of work, h.B) How much will it cost if the plumber works for 9 hours?C) If the total cost is 435, how many hours did the plumber work?hoursLivingston High SchoolPage 18

ALGEBRA 1 JANUARY 2014 Review for MIDTERM EXAM Livingston High School Page 7 (22) Rewrite y - 5 2(x 4) in SLOPE-INTERCEPT FORM. (23) Write an equation in POINT-SLOPE FORM for the line that passes through (5,1) and (-4,-2). (24) Find a point and the slope of the line with equation: y 6 - ( x – 3 )