ASVAB Math Knowledge Practice Test 245408 Results

Your Results Global Average
Questions 5 5
Correct 0 3.35
Score 0% 67%

Review

1

The dimensions of this cube are height (h) = 5, length (l) = 2, and width (w) = 7. What is the surface area?

51% Answer Correctly
118
104
254
102

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 2 x 7) + (2 x 7 x 5) + (2 x 2 x 5)
sa = (28) + (70) + (20)
sa = 118


2

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

87% Answer Correctly

division

exponents

addition

pairs


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.)


3

Solve for b:
4b - 6 = \( \frac{b}{-6} \)

46% Answer Correctly
1\(\frac{7}{8}\)
-3\(\frac{5}{9}\)
-1\(\frac{13}{23}\)
1\(\frac{11}{25}\)

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 - 6 = \( \frac{b}{-6} \)
-6 x (4b - 6) = b
(-6 x 4b) + (-6 x -6) = b
-24b + 36 = b
-24b + 36 - b = 0
-24b - b = -36
-25b = -36
b = \( \frac{-36}{-25} \)
b = 1\(\frac{11}{25}\)


4

Simplify 8a x 9b.

85% Answer Correctly
17ab
72ab
72a2b2
72\( \frac{a}{b} \)

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.

8a x 9b = (8 x 9) (a x b) = 72ab


5

The dimensions of this cylinder are height (h) = 7 and radius (r) = 5. What is the volume?

62% Answer Correctly
175π
147π
162π
28π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(52 x 7)
v = 175π