ASVAB Math Knowledge Practice Test 325094 Results

Your Results Global Average
Questions 5 5
Correct 0 3.33
Score 0% 67%

Review

1

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

right angle

equal angle

parallel

equal length


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


2

Simplify 2a x 7b.

85% Answer Correctly
14\( \frac{a}{b} \)
9ab
14a2b2
14ab

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 x 7b = (2 x 7) (a x b) = 14ab


3

Solve for a:
a2 + 10a + 16 = 0

58% Answer Correctly
6 or -6
-2 or -8
7 or 4
-2 or -7

Solution

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

a2 + 10a + 16 = 0
(a + 2)(a + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 2) or (a + 8) must equal zero:

If (a + 2) = 0, a must equal -2
If (a + 8) = 0, a must equal -8

So the solution is that a = -2 or -8


4

What is 9a9 - 7a9?

73% Answer Correctly
63a18
2a9
2a18
16a18

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.

9a9 - 7a9 = 2a9


5

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

c2 - a2

c - a

a2 - c2

c2 + a2


Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)