Exam Practice Questions Skills 6.13 – 6.25

58. Solve for x. 3x 2 – 2 + 4(x 2 – 3) = 0

59.Which of the following is a factor of m 3 ?

60. Factor completely: 8(x – y) + a(y – x)

62.What is the solution set for the following equations? 3x + 2y = 12 12x + 8y = 15

63. Solve for x and y: x = 3y + 7, 7x + 5y = 23

65. Find the zeroes of f(x) = x 3 + x 2 – 14x – 24

66.The discriminant of a quadratic equation is evaluated and determined to be -3. The equation has A) one real root B) one complex root C) two roots, both real D) two roots, both complex

67) Which equation is graphed above?

68. Which set illustrates a function? A) {(0,1) (0,2) (0,3) (0,4)} B) {(3,9) (-3,9) (4,16) (-4,16)} C) {(1,2) (2,3) (3,4) (1,4)} D) {(2,4) (3,6) (4,8) (4,16)}

69. Give the domain for the function over the set of real numbers:

72.State the domain of the function

74. Three less than four times a number is five times the sum of that number and 6. Which equation could be used to solve this problem?

75. Which statement is an example of the identity axiom of addition? A) = 0 B)3x = 3x + 0 C) D) 3 + 2x = 2x + 3

76. Which axiom is incorrectly applied? 3x + 4 = 7 Step a. 3x + 4 – 4 = 7 – 4 additive equality Step b. 3x + 4 – 4 = 3 commutative axiom of addition Step c. 3x + 0 = 3 additive inverse Step d. 3x = 3 additive identity

81. Which of the following illustrates an inverse property? A) a + b = a – b B) a + b = b + a C) a + 0 = a D) a + (-a) = 0