ASVAB Math Knowledge Practice Test 644301 Results

Your Results Global Average
Questions 5 5
Correct 0 3.37
Score 0% 67%

Review

1

What is 8a3 - 4a3?

73% Answer Correctly
4a3
4a6
4
a36

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.

8a3 - 4a3 = 4a3


2

Solve for c:
c2 - 2c - 26 = -3c + 4

48% Answer Correctly
9 or -1
5 or -6
8 or 1
8 or -5

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

c2 - 2c - 26 = -3c + 4
c2 - 2c - 26 - 4 = -3c
c2 - 2c + 3c - 30 = 0
c2 + c - 30 = 0

Next, factor the quadratic equation:

c2 + c - 30 = 0
(c - 5)(c + 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 5) or (c + 6) must equal zero:

If (c - 5) = 0, c must equal 5
If (c + 6) = 0, c must equal -6

So the solution is that c = 5 or -6


3

If the base of this triangle is 5 and the height is 6, what is the area?

58% Answer Correctly
67\(\frac{1}{2}\)
54
15
50

Solution

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

a = ½bh
a = ½ x 5 x 6 = \( \frac{30}{2} \) = 15


4

If angle a = 61° and angle b = 62° what is the length of angle c?

71% Answer Correctly
58°
101°
107°
57°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 61° - 62° = 57°


5

Simplify 7a x 6b.

86% Answer Correctly
42ab
42\( \frac{b}{a} \)
42a2b2
13ab

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.

7a x 6b = (7 x 6) (a x b) = 42ab