Prerequisite Skills Test PDF

Name _________________________________________________________ Date _________ Skills Test Prerequisite Skills Test Add or subtract. Answers 1. − 9 + ( −15)...

Name _________________________________________________________ Date _________ Skills Test Prerequisite Skills Test Add or subtract. Answers 1. − 9 + ( −15) 2. 2 + ( − 3) 3. 6 − 9 1. 4. − 6 − 11 5. 13 + 8 6. −12 − ( −10) 2. 3. Multiply or divide. 7. 2( − 7) 8. − 8 2 9. 9 ÷ 3 4. 5. 10. 25 ÷ ( − 5) 11. − 30 ÷ ( − 6) 12. −1( − 7) 6. Solve the problem and specify the units of measure. 7. 13. The length of a rectangle is 6 feet and the width is 3 feet. Find the perimeter of the rectangle. 8. 14. One side of a square measures 9 centimeters. Find the area of the square. 9. Graph the number. 10. 15. 4 16. −3 11. 12. −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −1 0 1 2 3 4 5 13. 17. − 6 + 5 18. 1 − − 3 14. −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −1 0 1 2 3 4 5 15. See left. 16. See left. Complete the statement with , or =. 17. See left. 19. 3____7 20. −1____4 18. See left. 21. − 4____ −10 22. − 6 ____ − 3 19. Evaluate the expression for the given value of x. 20. 23. 2 x − 6; x = 9 24. − 7 + 9 x; x = 3 25. 12 x + 13; x = 5 21. 22. 23. 24. 25. 2 Algebra 1 Copyright © Big Ideas Learning, LLC Assessment Book All rights reserved. Name_________________________________________________________ Date __________ Skills Test Prerequisite Skills Test (continued) Evaluate the expression for the given value of x. Answers 26. − x − 12; x = 4 27. 13 − 7 x; x = −10 28. 11x + 17; x = − 6 26. Plot the point in the coordinate plane. Describe the location of the point. 27. y 28. 2 29. −4 −2 2 4 x 30. −2 31. 32. 29. A( 4, 2) 30. B( −1, 3) 31. C ( − 5, − 3) 32. D(3, 0) 33. Use the graph to answer the question. 34. y T R 35. 4 2 36. Q U 37. −4 −2 2 4 x 38. −2 S 39. 33. Which ordered pair corresponds to point U? 40. 34. Which ordered pair corresponds to point S? 41. 35. Which point is located in Quadrant II? See left. 42. Solve the equation for y. 36. 2 x − y = 3 37. 3 x + 2 y = − 4 38. − 2 x = 6 y + 3 See left. 39. 0 = 7 x − y + 12 40. − 2 y + x = 4 y − 6 43. See left. Solve the inequality. Graph the solution. 41. p +6 > 9 42. 3x − 4 < 2 44. See left. −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −1 0 1 2 3 4 5 43. − 4m + 6 ≤ 22 44. 5 x + 1 ≤ 3x − 9 −8 −7 −6 −5 −4 −3 −2 −1 0 −10 −8 −6 −4 −2 0 Copyright © Big Ideas Learning, LLC Algebra 1 3 All rights reserved. Assessment Book Name _________________________________________________________ Date _________ Skills Test Prerequisite Skills Test (continued) Graph the equation. Answers 45. y − 2 = 2x 46. 2 y + x = 8 47. 2 x − 3 y = 6 45. See left. y y y 4 4 4 46. See left. 2 2 2 47. See left. −4 −2 2 4x −2 2 4 x −4 −2 2 4x 48. −2 −2 −2 −4 −4 −4 49. 50. Evaluate the expression. 51. 48. 14 ÷ 7 − 22 + ( − 3) 2 − 1 ( ) 49. − 4 − 3 + 62 ÷ 13 − 12 ( −12) 52. Find the square root(s). 53. 50. 25 51. − 81 52. ± 9 53. − 144 54. Write an equation for the nth term of the arithmetic sequence. 55. 54. 3, 6, 9, 12,  55. 7, 0, − 7, −14,  56. 2, 13, 24, 35,  56. Simplify the expression. 57. 57. 7 x − 1 + 2 x 58. 3m + 2 − 6m + 8 − 1 58. 59. − 4( 2 y − 1) + 3 y − 7 60. 3( d + 3) − ( 2d − 1) + 11d + 8 59. Evaluate the expression when x = − 3. 60. 61. 3 x 2 − 6 62. 2 x 2 − 6 x + 1 63. − x 2 − 5 x − 1 61. 64. x 2 + 3 x + 8 65. − 2 x 2 + 4 x + 3 66. − 3 x 2 − 6 − x 62. 63. Solve the system of linear equations by graphing. 67. y = 2 x + 1 68. y = − 1 x + 1 69. y = 2x − 4 64. 2 3 y = − 2x − 3 y = x +1 65. y = −4x + 2 3 y y y 66. 4 4 2 2 2 67. −2 2 4 6x 68. −4 −2 2 4x −4 −2 2 4x −2 −2 −2 69. −4 −4 −4 4 Algebra 1 Copyright © Big Ideas Learning, LLC Assessment Book All rights reserved. Name_________________________________________________________ Date __________ Skills Test Prerequisite Skills Test (continued) Find the greatest common factor. Answers 70. 45, 9 71. 64, 48 72. 25, 10 73. 29, 12 70. Factor the trinomial. 71. 2 2 2 74. x + 4 x + 4 75. x − 10 x + 25 76. x + 8 x + 16 72. 77. x 2 − 26 x + 169 78. x 2 + 6 x + 9 79. x 2 − 22 x + 121 73. Evaluate the expression. 74. 25 75. 80. 3 9 −6 81. −7 15 76.  16  82. 2  8 + 6  83. − 3 9 − ( 100 ) 77.   78. Graph f and g. Describe the transformations from the graph of f to the graph 79. of g. 84. f ( x) = x; g ( x) = − x − 1 85. f ( x) = x; g ( x) = 2 x + 3 80. y y 81. 4 6 82. 2 4 83. 2 −4 −2 2 4 x 84. See left. −2 −4 −2 2 4 x −4 −2 86. The table shows the number of hours people spend on their cell phones daily. 85. See left. Display the data in a histogram. Time spent Frequency Time Spent on Cell Phone 12 0–1 3 10 Frequency 8 86. See left. 2–3 6 6 4 4–5 10 2 0 6–7 1 0–1 2–3 4–5 6–7 Hours Copyright © Big Ideas Learning, LLC Algebra 1 5 All rights reserved. Assessment Book  Skills Test Prerequisite Skills Test Item Analysis Item Item Skills Skills Number Number adding and subtracting 1 23 evaluating expressions integers adding and subtracting 2 24 evaluating expressions integers adding and subtracting 3 25 evaluating expressions integers adding and subtracting 4 26 evaluating expressions integers adding and subtracting 5 27 evaluating expressions integers adding and subtracting 6 28 evaluating expressions integers multiplying and dividing 7 29 plotting points integers multiplying and dividing 8 30 plotting points integers multiplying and dividing 9 31 plotting points integers multiplying and dividing 10 32 plotting points integers multiplying and dividing 11 33 using a graph integers multiplying and dividing 12 34 using a graph integers specifying units of 13 35 using a graph measure specifying units of 14 36 rewriting equations measure graphing numbers on a 15 37 rewriting equations number line graphing numbers on a 16 38 rewriting equations number line graphing numbers on a 17 39 rewriting equations number line graphing numbers on a 18 40 rewriting equations number line 19 comparing real numbers 41 solving/graphing inequalities 20 comparing real numbers 42 solving/graphing inequalities 21 comparing real numbers 43 solving/graphing inequalities 22 comparing real numbers 44 solving/graphing inequalities 6 Algebra 1 Copyright © Big Ideas Learning, LLC Assessment Book All rights reserved.  Skills Test Prerequisite Skills Test Item Analysis (continued) Item Item Skills Skills Number Number 45 graphing linear functions 66 evaluating expressions solving systems of linear 46 graphing linear functions 67 equations by graphing solving systems of linear 47 graphing linear functions 68 equations by graphing solving systems of linear 48 using order of operations 69 equations by graphing finding the greatest common 49 using order of operations 70 factor finding the greatest common 50 finding square roots 71 factor finding the greatest common 51 finding square roots 72 factor finding the greatest common 52 finding square roots 73 factor factoring perfect square 53 finding square roots 74 trinomials writing equations for factoring perfect square 54 75 arithmetic sequences trinomials writing equations for factoring perfect square 55 76 arithmetic sequences trinomials writing equations for factoring perfect square 56 77 arithmetic sequences trinomials simplifying algebraic factoring perfect square 57 78 expressions trinomials simplifying algebraic factoring perfect square 58 79 expressions trinomials simplifying algebraic evaluating expressions 59 80 expressions involving square roots simplifying algebraic evaluating expressions 60 81 expressions involving square roots evaluating expressions 61 evaluating expressions 82 involving square roots evaluating expressions 62 evaluating expressions 83 involving square roots 63 evaluating expressions 84 transforming linear functions 64 evaluating expressions 85 transforming linear functions 65 evaluating expressions 86 displaying data Copyright © Big Ideas Learning, LLC Algebra 1 7 All rights reserved. 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