ASVAB Math Knowledge Practice Test 361390 Results

Your Results Global Average
Questions 5 5
Correct 0 2.88
Score 0% 58%

Review

1

Solve for a:
9a - 3 = \( \frac{a}{-1} \)

46% Answer Correctly
-\(\frac{5}{13}\)
-1\(\frac{17}{55}\)
\(\frac{32}{33}\)
\(\frac{3}{10}\)

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.

9a - 3 = \( \frac{a}{-1} \)
-1 x (9a - 3) = a
(-1 x 9a) + (-1 x -3) = a
-9a + 3 = a
-9a + 3 - a = 0
-9a - a = -3
-10a = -3
a = \( \frac{-3}{-10} \)
a = \(\frac{3}{10}\)


2

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

58% Answer Correctly
3
\(\frac{1}{6}\)
-\(\frac{1}{4}\)
-1\(\frac{1}{2}\)

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.

9x + 3 = -9 + x
9x = -9 + x - 3
9x - x = -9 - 3
8x = -12
x = \( \frac{-12}{8} \)
x = -1\(\frac{1}{2}\)


3

On this circle, line segment CD is the:

46% 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).


4

What is the area of a circle with a radius of 2?

69% Answer Correctly
4π
5π
3π
6π

Solution

The formula for area is πr2:

a = πr2
a = π(22)
a = 4π


5

If b = -6 and x = -4, what is the value of -8b(b - x)?

68% Answer Correctly
-4
260
-96
0

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.)

-8b(b - x)
-8(-6)(-6 + 4)
-8(-6)(-2)
(48)(-2)
-96