ASVAB Math Knowledge Practice Test 981035 Results

Your Results Global Average
Questions 5 5
Correct 0 3.68
Score 0% 74%

Review

1

Solve for b:
4b - 9 = \( \frac{b}{3} \)

46% Answer Correctly
-\(\frac{4}{5}\)
-\(\frac{1}{7}\)
1\(\frac{23}{41}\)
2\(\frac{5}{11}\)

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.

4b - 9 = \( \frac{b}{3} \)
3 x (4b - 9) = b
(3 x 4b) + (3 x -9) = b
12b - 27 = b
12b - 27 - b = 0
12b - b = 27
11b = 27
b = \( \frac{27}{11} \)
b = 2\(\frac{5}{11}\)


2

If angle a = 34° and angle b = 33° what is the length of angle c?

71% Answer Correctly
79°
101°
113°
81°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 34° - 33° = 113°


3

What is 8a + 7a?

81% Answer Correctly
56a2
15
15a
56a

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.

8a + 7a = 15a


4

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

92% Answer Correctly

division

addition

pairs

exponents


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.)


5

Order the following types of angle from least number of degrees to most number of degrees.

76% Answer Correctly

acute, right, obtuse

acute, obtuse, right

right, obtuse, acute

right, acute, obtuse


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.