Success Center Practice Sheet - Southwestern Illinois College

Success Center Practice Sheet

Math 97 Review

Solve. 1. 11x ? 14x ? 7 + 8 = 4x + 5 ? 2

2. - 4 x + 5 = 7 3

3. 5z ? 2(3 ? 3z) = 4(z ? 2) ? 7

4. 3k + 4k = -5 27

Solve for b in #5, and F in #6. 5. P = a + b + c

5

6. C = (F ? 32)

9

Solve the word problems. 7. Suppose the length of a rectangle is 7 inches longer than twice the width. What are the dimensions of the rectangle if the perimeter is 74 inches? 8. Joe wishes to make $235,000 selling his home. If his realtor must earn a 6% commission, for what price should Joe sell his home? 9. Eric's piggy bank has quarters and nickels in it. The total number of coins in the bank is 50. The total value is $8.90. Determine the number of each. 10. How many ounces each of 20% acid and 50% acid must be mixed together to get 120 ounces of 30% acid? 11. A 50-pound box of nuts worth $4 a pound is formed by mixing peanuts worth $3.50 a pound and cashews worth $5.50 a pound. How many pounds of each are needed? 12. Two trains start at the same point going in the same direction on parallel tracks. One travels 70mph the other 42mph. How long will it take for the two trains to be 154 miles apart?

Solve each inequality and graph the solution on a number line. 13. 6x < 7x ?3 14. 6 < -3y + 4y

Determine: 15. Find the union between sets {0,1,2,3} and {2,3,4,5} 16. Find the intersection between sets {-6,-5,-4} and {-3,-2,-1}

Give solution in interval notation. 17. x ? 5 > 0 or x + 7 < 6 18. 3 < 4m + 2 and 7m ? 5 < 2

Solve. 19. |m+6| = 2 20. |x+5| < 8 21. |2x-1| > 7

Find the x and y intercepts 22. 5x + 2y = 10 23. 3x ? 2y = -12

Find the slope. 24. Passing through (5,7) and (7,9) 25. Passing through (3,-6) and (-2, 6) 26. Passing through (5,-4) and (0,0) 27. x + y =4 28. 3x ? 2y = 12 29. x = -3 30. Perpendicular to 4x + 5y = 8 31. Parallel to 2x + 6y = 5.

Find the equation. 32. With slope 2 and y-intercept (0,-5) 33. With slope ?3 and passing through (4, -7) 34. Parallel to 3x = 2, passing through (-6, 5) 35. Perpendicular to 5x + y = 8, passing through (2, -1)

Graph 36. y = 2x ? 3 37. 2x + 5y = 10

38. y 2 x + 4 3

39. x ? 2y < 4

Graph the intersection 40. x + y > -1 and y < 2

Evaluate 41. f(-2) for f(x) = 6 ? 2x 42. f(4) for f(x) = x2 ? 2x

2x +1

43. f(x+1) for f(x) =

5

44. f(g(3)) if f(x) = x + 5 and g(x) = 2x ? 4

Solve each. 45. If x varies directly as y, and x = 12 when y = 3, find x when y = 15 46. If y varies inversely as x, and y = 6 when x = 2, find y when x = 3.

Determine the domain.

47. y = x - 3

48. y = 42x

1

49. y =

x+ 2

50. y = |2x-1| + 3

Solve the system 51. x + y =3 x ? y = -1 52. x + 2y = 0 2x + y = -6 53. 4x ? y = -7 y = -3x 54. 4x + 5y = 13 3x ? 4y = 2 55. 3x ? 4z = -23 y + 5z = 24 x ? 3y = 2 56. 2x + y ? z = 9 x + 2y + z = 3 3x + 3y ? z = 14

Evaluate (write only with positive exponents) 57. 4x0 58. 7-2 59. (1/4)-1 60. k-5k5 61. 42(4-3) 62. p2p8p-4 63. m-2(3m3)

2 64. 2-2

65. (-3x-4)-3

66. ( 5 )-1 6

67. (2x2y)3(3xy3)2

12x4 y3 68. -3x-1 y2

Identify each as trinomial, binomial, monomial, or none and determine the degree. 69. y2 + 3 70. 7 71. 2m 72. ?5x + 4 73. 4z2 + 3z ? 5

Perform the indicated operation. 74. (14x ? 8) + (3x + 11) 75. (3x2 + 4x + 2) + (7x2 ? x + 2) 76. 6y ? {3y ? [3y ? (6y ? 9y)]} + 7y - 2(6y ? 3y) 77. 4a(5a) 78. 8x2y(9xy3) 79. (4r ? 2)(6r + 1) 80. (6a ? 5)(3a + 2) 81. (2z + 3)(2z ? 3) 82. (p ? 7)2 83. (5m + 2n)2 84. (2p ? 5q)(2p + 7q)

Factor.

85. 15x ? 15y

86. 48r2 + 16r5

87. (x + 2)(2x + 3) ? (x + 2)(x + 1)

88. x ? 8y2 + 2xy2 ? 4

89. ?3x ? 6 + 2y + xy

90. (3x ? 2)(3x + 1) ? 2(3x + 1)

91. x3 ? x2 + x ? 1

92. a2 ? 2a ? 35

93. r2 ? 6r ? 16

94. 6m2 ? 13mn ? 5n2

95. 12m2 + 11m ? 5

96. 9x2 ? 6xy + y2

97. s4 ? 16

98. x3 ? y3

99. 27r3 + 8s3

100.

x + 3x + y + 3y

101.

1 ? y + z ? yz

102.

4x2 ? 9

Solve the Equation.

103.

2k2 + 3k ? 9 = 0

104.

16x2 ? 25 = 0

105.

6x2 ? 5x = 6

106.

3x2 = 2x

Perform the operation and/or simplify to its lowest terms.

x2 - 9

107.

x2 + 6x + 9

9x2 4

108.

16 3x

m + 3 12

109.

2 (m + 3)2

x2 - x - 6 x2 + 7x + 12

110.

x2 - 2x - 8 x2 - 9

111.

8- y ? y-8

y-8 y+8

s2 + s - 2 s + 2

112.

? s2 + 3s - 4 s + 3

113.

3+ 8

xx

114.

r+s r2 - s2 r2 - s2

115.

3+1

y 2

116.

3r + 4 + 6r + 4

3

6

117.

3x + 4 - x - 8

2a 2a

118.

2c + 4c +1 c2 -16 c + 4

119.

q+2+ q

q q+2

x +1

120.

x x +1

y

3 +1

121.

k 3+k

2

120a11 - 60a10 +140a9

122.

10a2

5 y6 +15 y4 - 5 y2

123.

5y2

124.

4a3 - 5a2 + 2a -16

a-2

y3 -1 125.

y +1

Solve each equation.

126.

x = - 2x + 2x - 3

2x + 2 4x + 4 x +1

127.

2p -5 = p

7

128.

8t + 3 = 3t

t

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download