ASVAB Math Knowledge Practice Test 855643 Results

Your Results Global Average
Questions 5 5
Correct 0 2.92
Score 0% 58%

Review

1

Solve for x:
x + 3 = -9 + 3x

60% Answer Correctly
-\(\frac{2}{7}\)
6
-6
\(\frac{1}{7}\)

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.

x + 3 = -9 + 3x
x = -9 + 3x - 3
x - 3x = -9 - 3
-2x = -12
x = \( \frac{-12}{-2} \)
x = 6


2

What is the area of a circle with a diameter of 8?

70% Answer Correctly
16π
81π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr2
a = π(42)
a = 16π


3

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

68% Answer Correctly

2lw x 2wh + 2lh

lw x wh + lh

h2 x l2 x w2

h x l x w


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


4

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π r

c = π d2

c = π d

c = π r2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


5

If c = -8 and z = 3, what is the value of -8c(c - z)?

69% Answer Correctly
-891
-704
-136
160

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.)

-8c(c - z)
-8(-8)(-8 - 3)
-8(-8)(-11)
(64)(-11)
-704