AFOQT (MATH SECTION) PRACTICE TEST CORRECT ANSWERS ] VERIFIED

AFOQT (MATH SECTION) PRACTICE TEST CORRECT ANSWERS ] VERIFIED if the volume of a cube is 8cm^3, what is the length of the cube? a. 1 cm b. 2 cm c. 3 cm d. 4 cm e. 8 cm - ANSWER B. 2 cm Simplify the following expression: (2x2 + 3) (2x - 1) a. 4x3 - 2x2 +6x - 3 b. 2x2 +6x - 3 c. 4x3 - 2x2 +6x + 3 d. 4x3 - 2x2 - 6x - 3 e. 2x2 - 6x + 3 - ANSWER A. 4x3 - 2x2 +6x - 3 Simplify the following expression: (2x4y7m2z) * (5x2y3m8) a. 10x6y9m10z b. 7x6y10m10z c. 10x5y10m10z d. 10x6y10m10z e. 7x5y9m10z - ANSWER D. 10x6y10m10z A classroom contains 13 boys and 18 girls. If a student's name is chosen randomly, what is the probability it will be a girl's name? a. 36% b. 42% c. 58% d. 72% e. 84% - ANSWER c. 58% If x - 9 = 2x + 10, what is the value of x? a. -19 b. 19 c. 6.3 d. -6.3 e. none of the above - ANSWER a. -19 A rectangle has a width of 7 cm and a length of 9 cm. What is its perimeter? a. 16 cm b. 32 cm c. 48 cm d. 62 cm e . 63 cm - ANSWER b. 32 The perimeter of a figure is the sum of all of its sides. Since a rectangle's width and length will be the same on opposite sides, the perimeter of a rectangle can be calculated by using the following formula: perimeter = 2(width) + 2(length) Using the numbers given in the question: perimeter = 2(7cm) + 2(9cm) perimeter = 14cm + 18cm perimeter = 32cm In the following inequality, solve for q. -3q + 12 ≥ 4q - 30 a. q ≥ 6 b. q = 6 c. q ≠ 6 d. q ≤ 6 e. q does not exist - ANSWER D: First, gather the like terms on opposite sides of the equation to make it easier to solve: -3q - 4q ≥ -30 - 12 -7q ≥ -42 Then, divide both sides by -7 to solve for q: -7q/-7 ≥ -42/-7 q ≥ 6 Finally, when both sides are divided by a negative number, the direction of the sign must be reversed: q ≤ 6 If x - 6 = 0, then x is equal to a. 0 b. 3 c. 6 d. 9 e. 12 - ANSWER C: To solve for x, it is necessary to add 6 to both sides to isolate the variable: