ASVAB Math Knowledge Practice Test 761483 Results

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

Review

1

The dimensions of this cylinder are height (h) = 2 and radius (r) = 4. What is the surface area?

48% Answer Correctly
60π
196π
28π
48π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 2)
sa = 2π(16) + 2π(8)
sa = (2 x 16)π + (2 x 8)π
sa = 32π + 16π
sa = 48π


2

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

92% Answer Correctly

division

pairs

exponents

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.)


3

Simplify 5a x 3b.

86% Answer Correctly
15ab
15\( \frac{b}{a} \)
8ab
15\( \frac{a}{b} \)

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.

5a x 3b = (5 x 3) (a x b) = 15ab


4

Simplify (y - 1)(y + 8)

64% Answer Correctly
y2 - 9y + 8
y2 + 9y + 8
y2 + 7y - 8
y2 - 7y - 8

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 1)(y + 8)
(y x y) + (y x 8) + (-1 x y) + (-1 x 8)
y2 + 8y - y - 8
y2 + 7y - 8


5

What is 5a5 + 5a5?

76% Answer Correctly
10a5
0
10a10
25a5

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.

5a5 + 5a5 = 10a5