ASVAB Math Knowledge Practice Test 36530 Results

Your Results Global Average
Questions 5 5
Correct 0 3.43
Score 0% 69%

Review

1

Simplify (5a)(5ab) + (4a2)(8b).

66% Answer Correctly
7a2b
57a2b
120a2b
-7ab2

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(5a)(5ab) + (4a2)(8b)
(5 x 5)(a x a x b) + (4 x 8)(a2 x b)
(25)(a1+1 x b) + (32)(a2b)
25a2b + 32a2b
57a2b


2

If a = 1, b = 6, c = 3, and d = 6, what is the perimeter of this quadrilateral?

88% Answer Correctly
21
12
16
24

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 1 + 6 + 3 + 6
p = 16


3

Which of the following statements about a triangle is not true?

58% Answer Correctly

exterior angle = sum of two adjacent interior angles

area = ½bh

perimeter = sum of side lengths

sum of interior angles = 180°


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


4

Simplify (y + 2)(y - 9)

64% Answer Correctly
y2 - 7y - 18
y2 + 7y - 18
y2 - 11y + 18
y2 + 11y + 18

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 2)(y - 9)
(y x y) + (y x -9) + (2 x y) + (2 x -9)
y2 - 9y + 2y - 18
y2 - 7y - 18


5

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

68% Answer Correctly

h x l x w

2lw x 2wh + 2lh

h2 x l2 x w2

lw x wh + lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.