ASVAB Math Knowledge Practice Test 973030 Results

Your Results Global Average
Questions 5 5
Correct 0 3.22
Score 0% 64%

Review

1

Simplify (2a)(2ab) - (5a2)(4b).

62% Answer Correctly
36ab2
16ab2
36a2b
-16a2b

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.

(2a)(2ab) - (5a2)(4b)
(2 x 2)(a x a x b) - (5 x 4)(a2 x b)
(4)(a1+1 x b) - (20)(a2b)
4a2b - 20a2b
-16a2b


2

A right angle measures:

90% Answer Correctly

360°

180°

90°

45°


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

Simplify (9a)(7ab) + (6a2)(3b).

65% Answer Correctly
-45ab2
144a2b
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)(7ab) + (6a2)(3b)
(9 x 7)(a x a x b) + (6 x 3)(a2 x b)
(63)(a1+1 x b) + (18)(a2b)
63a2b + 18a2b
81a2b


4

Solve for x:
x2 + 8x + 15 = 0

58% Answer Correctly
6 or 5
-3 or -5
6 or -5
6 or 3

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

x2 + 8x + 15 = 0
(x + 3)(x + 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 3) or (x + 5) must equal zero:

If (x + 3) = 0, x must equal -3
If (x + 5) = 0, x must equal -5

So the solution is that x = -3 or -5


5

On this circle, line segment CD is the:

46% Answer Correctly

circumference

radius

diameter

chord


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).