ASVAB Math Knowledge Practice Test 213071 Results

Your Results Global Average
Questions 5 5
Correct 0 3.29
Score 0% 66%

Review

1

What is 4a - 4a?

79% Answer Correctly
a2
8
0a
0

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.

4a - 4a = 0a


2

A right angle measures:

89% Answer Correctly

45°

90°

180°

360°


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

Solve for b:
2b - 5 < \( \frac{b}{-7} \)

44% Answer Correctly
b < 2\(\frac{1}{3}\)
b < -\(\frac{6}{7}\)
b < \(\frac{27}{53}\)
b < \(\frac{7}{32}\)

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.

2b - 5 < \( \frac{b}{-7} \)
-7 x (2b - 5) < b
(-7 x 2b) + (-7 x -5) < b
-14b + 35 < b
-14b + 35 - b < 0
-14b - b < -35
-15b < -35
b < \( \frac{-35}{-15} \)
b < 2\(\frac{1}{3}\)


4

Find the value of a:
-6a + y = 6
3a - 2y = -8

42% Answer Correctly
2\(\frac{1}{11}\)
-\(\frac{39}{71}\)
\(\frac{11}{56}\)
-\(\frac{4}{9}\)

Solution

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

-6a + y = 6
y = 6 + 6a

then substitute the result (6 - -6a) into the second equation:

3a - 2(6 + 6a) = -8
3a + (-2 x 6) + (-2 x 6a) = -8
3a - 12 - 12a = -8
3a - 12a = -8 + 12
-9a = 4
a = \( \frac{4}{-9} \)
a = -\(\frac{4}{9}\)


5

Breaking apart a quadratic expression into a pair of binomials is called:

74% Answer Correctly

factoring

deconstructing

normalizing

squaring


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.