Algebra Placement Test Review 1

Name: Date: Period: Algebra Placement Test Review 1 Simplif. 1. 5. 8. 5 4. 8 5. 5 6. 8 Rewrite using eponents. 7. 777777 8. 7777 9. 111111 Write in epanded form. 10. 5 11. 5 Simplif. 1. 1 1 4 1. 1 16 10 6 14. 15. 18 15 16. 10 5 5 17. 64 18. 5 4 19. 4 1 1 4 4 0. 1. 5. 1 9

Simplif the Epression.. 4 4. 6 9 5. 10 15105 6. 8 18 4 7. 4f g 6f g 8. 5z z 9. + 0. ab ab 1. ( 4) 7 5 5 7. a(5a 1). ( 4) 4. 10 ( 10) Solve. 5. 7 6. 9 7. 8. 5 9. 5 7 40. 4 41. 7 4. 5 9

4. 5 4 = 10 44. 4 = 18 45. 7 + 9 = 1 46. + 10 = 4 47. 6 = 4 48. 10 = 5 + 5 49. 4 = 7 + 11 50. 19 + 11 = 10 +8 51. 7 4 = 9 5. + + 5 = 1 5. 9 (4 + ) = 9 54. 4 (7 8) = 17 Solve for the indicated variable. 55. 56. 5 9 160 Translate the verbal epression into an algebraic epression or equation. 57. Four less than a number is 1. 58. Fifteen is three less than a number. 59. Si more than two thirds of a number 60. Ten more than triple a number

61. Twent is the product of 4 and a number 6. Fift si is the product of eight and a number 6. Eight one is the product of three and a number 64. The difference between twice a number and 5 65. The difference between half a number and siteen 66. The difference between quadruple a number and three 67. You have $75 to bu pizza for a part. Each slice of pizza costs $1.5. Write an equation to determine how man slices of pizza ou can bu. 68. You have $50 to bu cand for a Halloween part. Each bag of cand costs $.50. Write an equation to determine how man bags of cand ou can bu. 69. You have $60 to bu pencils to give awa as part favors. Each pencil costs $0.75. Write an equation to determine how man pencils ou can bu. 70. A basketball team finished its 60 games with no ties. The team won 4 times as man games as it lost. How man games did the team win? 71. The school sold 150 cookies in two das. Three times as man cookies were sold on the second da as the first. How man cookies were sold the first da? 7. A football team gained 8 ards on one pla. After the pla, the team was given a 5 ard penalt. However, the net pla, the gained ards. How man total ards did the gain on the two plas? 7. If four times a number is increased b, the result is 51. Find the number. 74. If si times a number is decreased b 7, the result is 41. Find the number.

75. An elevator left the 1 th floor, went up 5 floors, then down 7, and back up. On what floor is the elevator on now? 76. A submarine was 000 feet below sea level. It rose 640 feet, went back down 1000 feet, and rose 100 feet. Where is the submarine now? Translate the verbal epression into an algebraic epression or equation. Then solve. 77. One fifth of a number is 76. Find the number. 78. One fourth of a number is 1. Find the number. 79. The perimeter of a rectangle is 168 inches. The width is 54 inches. Find the length. 80. The perimeter of a rectangle is 54 cm. The width is cm. Find the length Evaluate: 81. For = and =, find the value of 8. For = and =, find the value of 8. For = and =, find the value of (+) 84. For = and =, find the value of (+) Simplif. 85. 6 8 5 5 86. 8 9 9 87. 6 8 88. 6 89. 8 8 90. 8 6 91. 8 9. 8 6 9. 5 4 4 95. 94. 6 8 5 4 96. 9 6 97. 5 4 98. 9 9 4 99. 5 4

100. 1 5 6 8 101. 5 0 5 10. 9 0 10. 6 8 104. 8 105. 5 106. 9 6 Simplif. 107. (5 ) ( + 5) 108. (+9) (4 + ) 109. 7(10 7) 110. 10( + ) 111. 45 4 6 11. 5 41 6 11. (7 + 5)+(4 + 1) 114. 5 41 6 Distribute: 115. (n + )(n ) 116. ( 6)( + 7) 117. (b + 4)(b 4) 118. ( + )( ) 119. (q + 6) 10. (z + 9) 11. (w 8) 1. (p 5) 1. ( + 1)( 4 14. ( + 6)( + 5) 15. (6z 4)(z 7) 16. ( 4)( +5) 17. ( 1)( 6 )

18. Given that the area of a triangle is one half the base times the height, find the area of the triangle with a base of 4 and a height of. 19. Given that the area of a rectangle is length times the width, find the area of the rectangle with a length of 4 and a width of ( ) Find the solution to the given equation. 10. 510 11. 4 5 0 1. 5 0 1. 7 0 14. 40 15. 7 5 0 16. aa50 17. 4 0 18. 7470 19. Find the greatest common factor. 5 5 4 0 140. 6 141. 7 49 14. 4 10 6 14 14. 4 7 9 Factor completel. 144. 7 145. 50 146. 1 4 147. 4 4 1 40 148. 16 149. 0 75

Solve. 150. 1 0 151. 101 0 15. 710 15. 1 0 154. 6 0 155. 8 0 Use factoring to find an epression for the missing side of the rectable 156. 68 A = area 157. 15 ( ) ( + 5) For the following questions, find the factors b choose from these factors. a. b. 4 c. d. 4 e. f. 6 g. h. 6 158. 1 159. 16 160. 41 161. 1 16. 41 For the following questions, find the factors b choose from these factors. a. 5 b. 5 c. 5 d. 5 e. 1 f. 9 1 g. 1 h. 9 1 i. 1 16. 9 1 5 164. 9 6 1 165. 9 44 5 166. 9 44 5 167. 9 1 5

Algebra Placement Test Review 1 Answers 1. -5. -64. 5 4. 64 5. 5 6. 64 7. 7 6 8. 7 4 9. 11 10. 5 5 5 4 4 8-5 6+5 1 15 17-4 10 5-6 9-1 -0 16 10f g z Cannot simplif, not like terms Cannot simplif, not like terms -4-4a-1 X+4 9+10 8/ 45/4-1 -0-1 -7-7/ -9/5-5/4-5/9-1/10-1 - -1/ 4-4 1/6 A/b (5F-160)/9 X-4=1 15=- /+6 +10 0=4 56=8 81= -5 ½ -16 4-1.5=75.5=50.75=60 48 7.5 6 1 8 1-060 80 49 0 4 7 7 1 5 1 Algebra Placement Test Review 1 Answers

5 14 9 10 14 10 48 16 8 68 8 48 8 8 16 8 4 64 4 5 4 4 4 5 4 6 64 68 5 4 14 0 1 9 18 6 5 4 6 5 64 9 0 4 4 9 9 4 4 99 5 6 9 4 7 64 5 15 1 5 1 15 6 68 1 8 6 1 6 1/5 1/9 6-4 -+5 70 49 0 0 5 7 4 11 4 +10+ n nn6 n n6 764 4 b 4b4b16 b 16 4 4 ( q 6)( q 6) q 1q 6 ( z 9)( z 9) z 18z 81 ( w8)( w8) w 16w 64 ( p 5)( p 5) p 10 p 5 14 114 Algebra Placement Test Review 1 Answers

6 1510 6 70 18z 4z1z8 18z 54z8 16. -5 +9-0 17. -8 ++ 1 ( 4)( ) 1 ( 1) 6 19. --1 141. 7 14. 14. 144. (+)(-) 145. 5 146. 147. 148. 6 4 10 4 5 816 4 4 or 4 149. 10 5 150. 4 0 4, 151. 7 0 7, 15., 5 15. 0 4, 4 154. 0, 6 155. 0, 8 156. (-4) 157. (-) 158. DE 159. BD 160. AH 161. BG 16. CF 16. BG 164. I 165. AH 166. CF 167. DE 168. Algebra Placement Test Review 1 Answers

Team Awesome 011 Name: Date: Period: Algebra 1 Semester Final Review 1. Given m b what does m represent? What does b represent?. What ais is generall used for?. What ais is generall used for? 4. Given the equation 5 4 what is the slope? What is the -intercept? 8 5. Given the equation 7 what is the slope of the line parallel to this line? What is the slope of the line perpendicular to this line? 6. Graph the function 7. Graph the function 4 8. Find the slope of the line that passes through the points 6, and,7. What is the -intercept of the given function? 9. 4 8 10. 4 11. 5 10 1. 4 8

Team Awesome 011 What is the -intercept of the given function? 1. 4 8 14. 4 15. 5 10 16. 4 8 What is the slope of the given function? 17. 4 8 18. 4 Convert the given function into slope-intercept form. 19. 4 8 0. 4 1. Which point is on the line 1? a) (-, 1) b) (, 1) c) (, ) d) (-, ) 1. Which point is on the line? 4 a) (0, ) b) (4, -1) c) (4, -) d) (, 0). Which point is on the line 9? a) (6, ) b) (4, -) c) (, 0) d) (-, 0) 4. Which point is on the line5 10? a) (, 0) b) (, -5) c) (5, -10) d) (0, -5) 5. Which point is on the line shown on the graph? a) (1, 0) b) (, 4) c) (4, ) d) (0, -) 6. Which point is on the line shown on the graph? a) (, 0) b) (, 1) c) (, -) d) (-, 1)

Team Awesome 011 7. Is (4, ) a solution to the equation = - + 10? 8. Is (4, ) a solution to the equation = 9? For problems 9 and 0 use the graph to the right. 9. Is the point (, 1) a solution to the equation of this line? 0. Is the point (-, 0) a solution to the equation of this line? Convert the following equations to standard form with integer coefficients. 1.. Given the following slope, what is the slope of a parallel line?. Given slope = 4. Given slope = 5 Given the following slope, what is the slope of a perpendicular line? 5. Given slope = 6. Given slope = 5 Write an equation of a line in point-slope form that goes through the given point and has the given slope. 7. (, 5); m = 8. (6, 1) ; m = 9. ( 1, ); m = - 40. (, ); m = Write an equation of a line in slope-intercept form that has the given -intercept and the given slope. 41. -intercept is - and the slope is 4. -intercept is 1 and the slope is 4

Team Awesome 011 Write an equation of a line in slope-intercept form that goes through the given point and has the given slope. 4. (0, ); - 44. (0, -5); Write an equation of a line in slope-intercept form that goes through the given point and has the given slope.,4,4 and has an undefined slope 45. and has a slope of 0 46. Write the equation of the line in slope intercept form that goes through the given points.,4,0 47. and 1,1 48.,4 and Write in equation of the line in slope-intercept form that goes through the given points and has the given slope.,4 and has a slope of,4 and m 49. 50. 51. Write the equation of the line that goes through 0,0 and m. 5. Plot the following points on the given plane. 0, 4 1,5 4,0 5, 1 Graph each of the following equations. 5. 54. 55. 1

Team Awesome 011 56. 57. 4 58. 9 6 59. 60. 61. 6. 6. 64. 1 4 64. 66. 67.

Team Awesome 011 68. 69. 70. Use the following graphs to answer questions 71-7. Graph A 71. Which of the graphs above suggests one solution to the sstem of linear equations? Graph B 7. Which of the graphs above suggests no solutions to the sstem of linear equations? Graph C 7. Which of the graphs above suggests an infinite number of solutions to the sstem of linear equations? 74. When algebraicall solving the sstem of linear equations represented in Graph A, one might get a. 1, b. c. d. none of these 75. When algebraicall solving the sstem of linear equations represented in Graph B, one might get a. 1, b. c. d. none of these 76. When algebraicall solving the sstem of linear equations represented in Graph C, one might get a. 1, b. c. d. none of these 77. Graph the following equations 4and on the same plane.

Team Awesome 008-009 Use the quadratic formula to solve each of the following equations. 78. 0 79. 66 0 80. 1 81. 4 11 0 Solve. 8. 8. 84. 85. 86. 87. 88. 89. 90. 91. 9. 9. 94. 95. 96.

Team Awesome 008-009 97. 98. 99. 100. 101. 10. 5 48 10. 4 104. 5 5 105. Simplif the following radicals. 106. 6 107. 81 108. 1 109. 5 5 110. 48 111. 75 11. 45 11. 6 81 114. 9 115. 5 100 116. When graphing 5, what is the -coordinate of the verte? 117. When graphing 4, what is the -coordinate of the verte?

Graph the following equations. 118. 119. Team Awesome 008-009 4 10. 4 4 11. 4 1. 1. 4 4

4 4 15. 14. Team Awesome 008-009 16. 4 17. 1 4 18. Find the verte for: 7 5 19. Find the verte for: 1 5 18 10. Find the verte for: 5 7 11. Find the verte for:

Epress radicals in simplest form. Team Awesome 008-009 1. 4 1. 9 18 14. 15. 107 107 16. 6 1 17. 6 18. 6 50 19. 1 16 140. When graphing a b c, how do ou calculate the -coordinate of the verte? 141. After finding the -coordinate of the verte, how do ou find the -coordinate? Find the -coordinate of the verte of the given equations. 14. 4 7 14. 4 7 144. 16 1 145. 16 1 146. 1 11 147. 14 9 148. 7 5 149. 15 1 17 150. 4 151. 7

Algebra Placement Test Review Answers 1. Given m b what does m represent? What does b represent? m is the slope, b is the -intercept. What ais is generall used for?. What ais is generall used for? Horizontal ais Vertical ais 5 4. Given the equation 4 what is the slope? What is the -intercept? 8 Slope = 5, -intercept= (0, 4) 8 5. Given the equation 7 what is the slope of the line parallel to this line? What is the slope of the line perpendicular to this line? Parallel slope =, Perpendicular slope = 6. Graph the function 7. Graph the function 4 8. Find the slope of the line that passes through the points 6, and,7. 5 Slope = 9 What is the -intercept of the given function? 9. 4 8 10. 4 (, 0) (8, 0) 11. 5 10 1. 4 8 (, 0) ( 4, 0) What is the -intercept of the given function? 1. 4 8 14. 4 (0, 8) (0, 1)

15. 5 10 16. 4 8 (0, 5) (0, ) What is the slope of the given function? 17. 4 8 18. 4 slope = 4 slope = Convert the given function into slope-intercept form. 19. 4 8 0. 4 = 4 8 = 1 1. Which point is on the line 1? a) (-, 1) b) (, 1) c) (, ) d) (-, ) C. Which point is on the line 9? a) (6, ) b) (4, -) c) (, 0) d) (-, 0) C 5. Which point is on the line shown on the graph? a) (1, 0) b) (, 4) c) (4, ) this one d) (0, -) 1. Which point is on the line? 4 a) (0, ) b) (4, -1) c) (4, -) d) (, 0) B 4. Which point is on the line5 10? a) (, 0) b) (, -5) c) (5, -10) d) (0, -5) A 6. Which point is on the line shown on the graph? a) (, 0) b) (, 1) this one c) (, -) d) (-, 1) 7. Is (4, ) a solution to the equation = - + 10? 8. Is (4, ) a solution to the equation = 9? No Yes For problems 9 and 0 use the graph to the right. 9. Is the point (, 1) a solution to the equation of this line? No 0. Is the point (-, 0) a solution to the equation of this line? Yes

Convert the following equations to standard form with integer coefficients. 1. = 1 4. = + 1 = 8 + = Given the following slope, what is the slope of a parallel line?. Given slope = 4 Parallel slope = 4 4. Given slope = 5 Parallel slope = 5 Given the following slope, what is the slope of a perpendicular line? 5. Given slope = 6. Given slope = 5 4 Perpendicular slope = 4 Perpendicular slope = 1 5 Write an equation of a line in point-slope form that goes through the given point and has the given slope. 7. (, 5); m = 8. (6, 1) ; m = 1 5 = ( ) 1 = 1 ( 6) 9. ( 1, ); m = 40. (, ); m = 4 = ( + 1) + = ( ) 4 Write an equation of a line in slope-intercept form that has the given -intercept and the given slope. 41. -intercept is - and the slope is 5 4. -intercept is 1 and the slope is 4 8 = 5 = 4 + 1 8 Write an equation of a line in slope-intercept form that goes through the given point and has the given slope. 4. (0, ); - 44. (0, -5); 4 = + = 4 5 Write an equation of a line in slope-intercept form that goes through the given point and has the given slope.,4,4 and has an undefined slope 45. and has a slope of 0 46. = 4 = Write the equation of the line in slope intercept form that goes through the given points.,4,0 47. and 1,1 48.,4 and = + 10 = + Write in equation of the line in slope-intercept form that goes through the given points and has the given slope.,4 and has a slope of,4 and m 49. 50. = = + 1

51. Write the equation of the line that goes through 0,0 and m. = 5. Plot the following points on the given plane. 0, 4 1,5 4,0 5, 1 Graph each of the following equations. 5. 54. 55. 1 56. 57. 4 58. 9 6 59. 60. 61. = +

6. = + 4 6. 64. 1 4 65. = 66. = 4 67. = 4 68. = 69. = 5 70. =

Use the following graphs to answer questions 71-7. Graph A 71. Which of the graphs above suggests one solution to the sstem of linear equations? A Graph B 7. Which of the graphs above suggests no solutions to the sstem of linear equations? B Graph C 7. Which of the graphs above suggests an infinite number of solutions to the sstem of linear equations? C 74. When algebraicall solving the sstem of linear equations represented in Graph A, one might get a. 1, b. c. d. none of these A 75. When algebraicall solving the sstem of linear equations represented in Graph B, one might get a. 1, b. c. d. none of these C 76. When algebraicall solving the sstem of linear equations represented in Graph C, one might get a. 1, b. c. d. none of these B 77. Graph the following equations 4and on the same plane.

Use the quadratic formula to solve each of the following equations. 78. 0 79. 66 0 (1) () 4(1)( ) 9 8 17 () 6 (6) 4()( 6) 6 6 7 6 6 108 6 6 6 6 1 80. 1 81. 4 11 0 1 0 ( ) 4()( 1) 9 8 4 17 4 () (4) 1 (1) 4(4)( 1) 1 169 19 8 1 61 8 1 19 8 1 19 6 8 8 4 1 19 and 4 8 8 Solve. 8. 5 a > 5 8. 7 + a < 1 84. 7a > 5 a 0 a 8 a 5 85. < 15 86. 5 5a 87. 0 5 a 5 15

88. a 10 7 89. a 5 9 90. a 5 a 70 a 45 a 15 91. a 4 9. 1 7 a 9. 1 a a 1 a 1 a 6 94. 4 + 5 5 95. 5 10 96. 4 8 0 1 97. 7 98. a + 4 1 99. a + 7 1 10 a 8 a 14 100. 5a > 0 101. 4a > 40 10. 5 48 a 4 a 10 1 10. 4 104. 5 105. 5 6 5 9 14 7 5 7 Simplif the following radicals. 106. 6 107. 81 108. 1 6 9 1 109. 5 5 110. 48 111. 75 0 16 5 4 5 11. 45 11. 6 81 114. 95 6 6 5 81 9 9 9

115. 5 100 5 1 10 Epress radicals in simplest form. 116. 4 117. 9 18 118. 4 6 6 6 6 9 64 9 8 7 9 119. 107 107 10. 6 1 11. 6 107 107 107 6 5 41 1 6 1 7 6 6 1. 6 50 6 5 6 5 0 1. 1 16 1 81 1 9