advertisement

Algebra 2 Placement Review 1. Show that 2.44 is a rational number by expressing it as the ratio of two integers. 2. Find the absolute value of 3. Add −0.2 write an equivalent expression to v( wi x) 19. Simplify 10 xy 5x 20. Multiply 19(2r + 3) 21. Factor 3x + 54 xy –3.12 + (–2.4) 4. Find the additive inverse of 5 5. Subtract 18. Use the associative property of multiplication to 8 ⎛ 7⎞ −⎜− ⎟ 9 ⎝ 12 ⎠ 6. Find the reciprocal of –8 Simplify 22. 3x − (9 − 7 x) 7. Multiply 2 ⎛ 6⎞ − i⎜ − ⎟ 7 ⎝ 5⎠ 23. 4 − 3 [3t − (−2 − 4 s + 2t ) ] 8. Divide 5 ⎛ 3⎞ ÷⎜− ⎟ 16 ⎝ 4 ⎠ −3 x + 20 = 2 Are the following divisions possible? Write yes or no. 7 9. 0 10. 0 0 x−x 11. 4 12. 4 x−x Evaluate each expression for x = –2 and y = 3. 13. − ( 2 x − 3 y − 3) 14. 3 4 − x − y − x 15. Use the commutative property of addition to write an equivalent expression to 7 x + 8 y 16. Use the associative property of addition to write an equivalent expression to 3 x + ( 5 y + 6 ) 17. Use the commutative property of multiplication to write an equivalent expression to (3a)(4b) 24. Determine whether –6 is a solution of Solve. 25. x + 11 = 2 26. −13 x = −78 27. 3 x − 5 = −13 28. 9 − 5 x = x − 15 29. 3s − 1 + 5s = 2 s + 7 − 4 s 30. A piece of wire 16 m long is cut into two pieces so that one piece is three fifths as long as the other. Find the length of each piece. 3 5 lb is lb? 31. What percent of 8 6 32. Write 3 xi3 xi3 xi3 x using exponential notation. 33. Write an equivalent expression for 3 x 4 y −3 . Simplify 34. −42 35. ( −4x ) 2 Simplify. 36. 3 ( 3x 2 ) ( 2 )( 37. 6a 3b −5 3a −2b8 ) Algebra 2 38. ( −2x 3 y Placement Review 50. The perimeter of a rectangular park is 820 m. ) −4 3 The length is 70 m more than the width. Find 56r −3 s 7t 39. 14r −3 s 3t 2 ⎛ 3p q ⎞ 40. ⎜ ⎟ 3 ⎝ 6p q ⎠ 5 −2 the dimensions of the park. 4 ( ) 2 2 ⎡ ⎤ 41. Simplify ⎢ 6 − ( −6 ) ÷ 3 + 5 ⎥ ⎣ ⎦ Express in scientific notation. 51. Solve V= 52. Solve t= A 2−c for c. 3 ( 5 x − 1) for x. 2 53. Determine whether –8 is a solution of −2 x − 10 ≥ 6 42. 62,000,000 Solve and graph the solution on a number line. 43. 0.0000137 54. 8 < 2 − 3x Simplify. Express answers in scientific notation. 55. 3 − 2 s ≤ s − 6 ( )( 44. 2.7 × 10−5 3.0 ×10−8 45. ) 1.12 ×10−3 4 ×10−5 Solve. 46. 3 4 5 7 x− = x− 4 5 2 5 47. (t − 3)(2 + 3t ) = 0 48. 3 ⎡⎣ x − 3 ( x − 1) + 2 x − 5⎤⎦ = x − ( 3 x − 2 ) 49. Five more than three times a number is one less than seven times half of the number. Find the number. 56. Brian made scores of 71, 85, and 87 on 3 exams. He must earn a total of 340 points on 4 exams to get a B. What score must he get on the fourth exam to get a B? Solve, then graph. 57. −3 < 2t − 5 < 3 58. 7 ≥ 2 − x ≥ 5 59. 2 p − 1 < 5 60. 3 − 2r ≥ 7