ASVAB Math Knowledge Practice Test 132593 Results

Your Results Global Average
Questions 5 5
Correct 0 3.24
Score 0% 65%

Review

1

Solve for c:
2c - 9 = \( \frac{c}{-6} \)

46% Answer Correctly
4\(\frac{2}{13}\)
-\(\frac{4}{11}\)
-\(\frac{32}{41}\)
-3\(\frac{6}{7}\)

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 equal sign and the answer on the other.

2c - 9 = \( \frac{c}{-6} \)
-6 x (2c - 9) = c
(-6 x 2c) + (-6 x -9) = c
-12c + 54 = c
-12c + 54 - c = 0
-12c - c = -54
-13c = -54
c = \( \frac{-54}{-13} \)
c = 4\(\frac{2}{13}\)


2

A right angle measures:

90% Answer Correctly

45°

180°

360°

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.


3

Simplify 3a x 2b.

85% Answer Correctly
6\( \frac{a}{b} \)
5ab
6\( \frac{b}{a} \)
6ab

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 2b = (3 x 2) (a x b) = 6ab


4

Solve for c:
c2 - 14c + 49 = 0

58% Answer Correctly
8 or 2
2 or -6
7
-3 or -5

Solution

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

c2 - 14c + 49 = 0
(c - 7)(c - 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, (c - 7) must equal zero:

If (c - 7) = 0, c must equal 7

So the solution is that c = 7


5

Find the value of a:
+ y = -5
-a + y = -8

42% Answer Correctly
1\(\frac{7}{11}\)
-\(\frac{25}{33}\)
3

Solution

You need to find the value of a so solve the first equation in terms of y:

+ y = -5
y = -5 +

then substitute the result (-5 - 0a) into the second equation:

-a + 1(-5 + ) = -8
-a + (1 x -5) + (1 x ) = -8
-a - 5 + = -8
-a + = -8 + 5
-a = -3
a = \( \frac{-3}{-1} \)
a = 3