ASVAB Math Knowledge Practice Test 82292 Results

Your Results Global Average
Questions 5 5
Correct 0 3.51
Score 0% 70%

Review

1

Factor y2 - 6y - 16

54% Answer Correctly
(y + 8)(y + 2)
(y - 8)(y + 2)
(y - 8)(y - 2)
(y + 8)(y - 2)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -16 as well and sum (Inside, Outside) to equal -6. For this problem, those two numbers are -8 and 2. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 6y - 16
y2 + (-8 + 2)y + (-8 x 2)
(y - 8)(y + 2)


2

If the length of AB equals the length of BD, point B __________ this line segment.

45% Answer Correctly

midpoints

trisects

bisects

intersects


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.


3

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

88% Answer Correctly

division

addition

pairs

exponents


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)


4

The formula for the area of a circle is which of the following?

77% Answer Correctly

a = π r

a = π d

a = π r2

a = π d2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


5

Simplify 3a x 8b.

86% Answer Correctly
24\( \frac{b}{a} \)
11ab
24a2b2
24ab

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 8b = (3 x 8) (a x b) = 24ab