ASVAB Math Knowledge Practice Test 696769 Results

Your Results Global Average
Questions 5 5
Correct 0 3.36
Score 0% 67%

Review

1

Simplify 3a x 3b.

85% Answer Correctly
6ab
9\( \frac{b}{a} \)
9ab
9a2b2

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 3b = (3 x 3) (a x b) = 9ab


2

Solve for c:
3c - 7 < \( \frac{c}{-2} \)

44% Answer Correctly
c < -\(\frac{9}{17}\)
c < 1\(\frac{1}{13}\)
c < 2\(\frac{10}{13}\)
c < 2

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.

3c - 7 < \( \frac{c}{-2} \)
-2 x (3c - 7) < c
(-2 x 3c) + (-2 x -7) < c
-6c + 14 < c
-6c + 14 - c < 0
-6c - c < -14
-7c < -14
c < \( \frac{-14}{-7} \)
c < 2


3

A right angle measures:

90% Answer Correctly

360°

180°

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.


4

If the base of this triangle is 6 and the height is 9, what is the area?

58% Answer Correctly
27
50
24
78

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 6 x 9 = \( \frac{54}{2} \) = 27


5

Solve for c:
c2 - 6c + 5 = 0

58% Answer Correctly
8 or -1
1 or 5
-3 or -3
4 or 2

Solution

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

c2 - 6c + 5 = 0
(c - 1)(c - 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 1) or (c - 5) must equal zero:

If (c - 1) = 0, c must equal 1
If (c - 5) = 0, c must equal 5

So the solution is that c = 1 or 5