ASVAB Math Knowledge Practice Test 391987 Results

Your Results Global Average
Questions 5 5
Correct 0 3.59
Score 0% 72%

Review

1

Solve for a:
a2 + 16a + 64 = 0

58% Answer Correctly
4 or -8
-8
1 or -4
3 or -4

Solution

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

a2 + 16a + 64 = 0
(a + 8)(a + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, (a + 8) must equal zero:

If (a + 8) = 0, a must equal -8

So the solution is that a = -8


2

On this circle, line segment AB is the:

71% Answer Correctly

radius

chord

circumference

diameter


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).


3

What is 2a - 5a?

80% Answer Correctly
a2
-3a
10a
10a2

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

2a - 5a = -3a


4

Simplify (y - 1)(y + 1)

64% Answer Correctly
45
y2 - 1
y2 + 2y + 1
y2 - 2y + 1

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 - 1)(y + 1)
(y x y) + (y x 1) + (-1 x y) + (-1 x 1)
y2 + y - y - 1
y2 - 1


5

Simplify 3a x 6b.

86% Answer Correctly
18\( \frac{a}{b} \)
18\( \frac{b}{a} \)
18ab
9ab

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.

3a x 6b = (3 x 6) (a x b) = 18ab