ASVAB Math Knowledge Practice Test 194188 Results

Your Results Global Average
Questions 5 5
Correct 0 3.11
Score 0% 62%

Review

1

The dimensions of this cylinder are height (h) = 8 and radius (r) = 1. What is the surface area?

48% Answer Correctly
288π
54π
120π
18π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 8)
sa = 2π(1) + 2π(8)
sa = (2 x 1)π + (2 x 8)π
sa = 2π + 16π
sa = 18π


2

On this circle, a line segment connecting point A to point D is called:

47% Answer Correctly

diameter

radius

chord

circumference


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


3

Solve for a:
2a + 5 < -9 - 3a

55% Answer Correctly
a < -\(\frac{1}{8}\)
a < -2\(\frac{4}{5}\)
a < \(\frac{5}{6}\)
a < \(\frac{5}{8}\)

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.

2a + 5 < -9 - 3a
2a < -9 - 3a - 5
2a + 3a < -9 - 5
5a < -14
a < \( \frac{-14}{5} \)
a < -2\(\frac{4}{5}\)


4

Simplify (7a)(7ab) + (8a2)(4b).

66% Answer Correctly
-17a2b
17a2b
81a2b
168ab2

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.

(7a)(7ab) + (8a2)(4b)
(7 x 7)(a x a x b) + (8 x 4)(a2 x b)
(49)(a1+1 x b) + (32)(a2b)
49a2b + 32a2b
81a2b


5

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

92% 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.)