ASVAB Math Knowledge Practice Test 192735 Results

Your Results Global Average
Questions 5 5
Correct 0 3.39
Score 0% 68%

Review

1

Simplify (y + 3)(y + 8)

62% Answer Correctly
y2 - 5y - 24
y2 + 11y + 24
y2 + 5y - 24
y2 - 11y + 24

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 + 3)(y + 8)
(y x y) + (y x 8) + (3 x y) + (3 x 8)
y2 + 8y + 3y + 24
y2 + 11y + 24


2

A right angle measures:

89% Answer Correctly

180°

360°

45°

90°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


3

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

67% Answer Correctly

h x l x w

h2 x l2 x w2

2lw x 2wh + 2lh

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.


4

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

the lengths of all sides are equal

the perimeter is the sum of the lengths of all four sides

all interior angles are right angles

the area is length x width


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).


5

Simplify (9a)(2ab) - (9a2)(7b).

59% Answer Correctly
176a2b
176ab2
-45a2b
81a2b

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.

(9a)(2ab) - (9a2)(7b)
(9 x 2)(a x a x b) - (9 x 7)(a2 x b)
(18)(a1+1 x b) - (63)(a2b)
18a2b - 63a2b
-45a2b