ASVAB Math Knowledge Practice Test 265880 Results

Your Results Global Average
Questions 5 5
Correct 0 2.97
Score 0% 59%

Review

1

The dimensions of this cylinder are height (h) = 9 and radius (r) = 5. What is the volume?

63% Answer Correctly
225π
128π
81π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(52 x 9)
v = 225π


2

On this circle, line segment CD is the:

46% Answer Correctly

radius

chord

circumference

diameter


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

If a = 9 and x = 6, what is the value of 5a(a - x)?

69% Answer Correctly
-252
32
-15
135

Solution

To solve this equation, 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.)

5a(a - x)
5(9)(9 - 6)
5(9)(3)
(45)(3)
135


4

Solve for b:
8b + 3 > \( \frac{b}{-1} \)

44% Answer Correctly
b > -\(\frac{1}{3}\)
b > -\(\frac{12}{37}\)
b > -1\(\frac{19}{62}\)
b > -\(\frac{36}{41}\)

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.

8b + 3 > \( \frac{b}{-1} \)
-1 x (8b + 3) > b
(-1 x 8b) + (-1 x 3) > b
-8b - 3 > b
-8b - 3 - b > 0
-8b - b > 3
-9b > 3
b > \( \frac{3}{-9} \)
b > -\(\frac{1}{3}\)


5

What is 4a8 + 9a8?

75% Answer Correctly
13a8
36a8
-5a16
13a16

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.

4a8 + 9a8 = 13a8