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Algebra 2B 16. Solve for y. 36=y-15 Final Review 17. Solve for x. x+8=15 Name_______________________ 18. Solve for y. y+7=12 1. Find the value of the variable expression if x=4 and y=2 19. Solve for x. x =2 4 20. Solve for y. 3y=6 a. x+2 b. 3x c. 2x+y 2. Find the value of the expression. (8+6)÷(7-5) 3. Simplify. 6x+2x 21. Solve for x. 4x+7=11 22. Solve for y. 2y-3=3 23. Solve for n. 7n+2+3n=12 24. Solve for x. 32=8x+4-4x 4. Simplify. 6x+2y-2x+3 25. Joe is 2 years older than Matt. Let x= Matt’s age, then ______= Joe’s age 5. Use properties of addition to simplify. 26. Solve for a. 7a-3=3a+5 a. 26+5+15 27. Solve for y. 4(y-1)=2y+6 b. 30+5a+a+1 28. Compare using < or >. c. 20+6x-4-2x a. -6___-4 6. Simplify. y·y·y·y b. -3___2 7. Simplify. 3·2·a·a·b c. 0___-4 8. Simplify. (2a)(4b) d. 5___-1 9. Use the distributive property and simplify. 5(3x+5)-7x-2 29. Solve and graph. X-5=2 10. Simplify. 4(x+2)-8 11. Simplify. 5 · x 5 12. Tell which number is the solution to the equation. 5(r+2)=30 3 or 4 ? 30. Graph the solution. X>3 31.Find the sum. a. -2+(-3) b. 6+4 c. -7+5 13. Which number makes the statement true? S>13 9, 11, 13, 15 ? 32. a. What is the opposite of 5? 14. Compare using <, >, = b. What is the opposite of -5? (24÷8) · 8_____ 33 33. Subtract. 15. Solve for x. x-5=11 a. -6-2 b. -2-(-5) c. ax=y c. 1-9 44. Solve for t. P= r+t 34. Simplify. -6x+3x-2x 45. Add. 35. Simplify. –x2+2x-4x a. (2x+4)+(3x-1) 36. Multiply. b. (x2+3xy)+(4x2-xy) a. (-5)(-8) 46. Subtract. b. 6(-2) a. (2a-4)-(3a+2) c. 3(4) b. (2x2+3x-y2)-(x2-3x+y2) 37. Simplify. c. (x2-3y)-(x2-6y) a. (-3)2 47. Multiply. b. –(5)2 a. x3·x4 c. –(-2)3 b. 2x2·3x5 38. Multiply. c. (-x3)(-3x4y)(2y3) a. (3a)(-2) 48. Simplify. b. (-5x)(-4) a. (x5)2 39. Simplify. b. (3x3)3 a. –(3x-8) c. (x2y)2 b. 2x-(x+3) 49. Multiply. 40. Divide. a. 2(x+3) a. 6÷-3 b. 3x(x+4) b. -18 2 c. -15 -5 c. -4x2(6-x) 41. Solve for x. -2x+6x=12 42. Solve for x. 6x+4=4x 43. Solve for x. a. 5x=20 b. 5x=y 50. Solve for x. –(x+3)+2(x+7)=0 51. Multiply. (x+2)(x+7) 52. Multiply. (x2-3x+1)(x+2) 53. Multiply. a. (x+2)(x-3) b. (3x+1)(2x-7) c. (x-6)(x-5) 54. Express as a trinomial. a. (x+3)2 b. (3x+5)2 Solve for x 71. x(2x+1)(x-2)=0 72. x2-6x=16 c. (x-7)2 d. 3(x+2)2 a. x3 b. 9x5 x2 3x 2 2 56. Simplify. 13x y - 8x4y3 xy 2x3y2 57. Divide. a. 3x+6 3 b. 9x2y3 + 6xy + 12x4y2 3xy 58. Find the GCF of each pair of numbers. Simplify 73. 55. Divide. a. 12, 15 74. 75. Find both real roots of x2=144 76. Find both real roots of 16x2=25 Simplify 77. b. 42, 48 59. Find the greatest common monomial factor of 3x2y, 6x3y2 78. 60. Factor the polynomial. 7x2y4+28x4y-35xy 61. Factor. x2+16x+63 62. Factor. x2+8x+15 79. 63. Factor. x2-10x+24 64. Factor. x2-21x+20 80. • 81. (2 )2 65. Factor. x2+6x+9 66. Factor. x2+4x+4 67. Factor. x2+6x-16 68. Factor. x2-5x-24 82. 69. Multiply. (3x+4)(3x-4) 70. Factor 83. - a. x2-36 b. x2-81 84. ( + ) 85. -2 100. Write 0.5 as a fraction Simplify 86. + 87. - 101. 102. (3i)2 103. 88. -x 89. (3+ ) (3- 90. (2 • 104. - ) )( +3 ) Solve 105. x2+144=0 Simplify 106. (9+2i) + (1-7i) 91. 107. 3(-2+i) – 4(3-2i) 92. 108. (-2+5i)(1-3i) )-4 109. (2-4i)2 94. =5 Simplify 110. 272/3 95. +5 = 3 111. 9-3/2 93. ( Solve 96. -1 = x 97. Write as a decimal 98. Write as a decimal 99. Write 0.625 as a fraction