ASVAB Math Knowledge Practice Test 138561 Results

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

Review

1

Solve for b:
2b + 2 = \( \frac{b}{-4} \)

46% Answer Correctly
\(\frac{18}{37}\)
-\(\frac{8}{9}\)
11\(\frac{1}{4}\)
-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.

2b + 2 = \( \frac{b}{-4} \)
-4 x (2b + 2) = b
(-4 x 2b) + (-4 x 2) = b
-8b - 8 = b
-8b - 8 - b = 0
-8b - b = 8
-9b = 8
b = \( \frac{8}{-9} \)
b = -\(\frac{8}{9}\)


2

What is 3a3 + 6a3?

74% Answer Correctly
9a3
a36
9a6
9

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.

3a3 + 6a3 = 9a3


3

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

87% Answer Correctly

division

exponents

pairs

addition


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)


4

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

60% Answer Correctly

acute, obtuse

supplementary, vertical

obtuse, acute

vertical, supplementary


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


5

The dimensions of this cylinder are height (h) = 4 and radius (r) = 1. What is the volume?

62% Answer Correctly
4π
64π
18π
49π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(12 x 4)
v = 4π