ASVAB Math Knowledge Practice Test 319293 Results

Your Results Global Average
Questions 5 5
Correct 0 3.40
Score 0% 68%

Review

1

On this circle, line segment AB is the:

70% Answer Correctly

radius

chord

diameter

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).


2

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

60% Answer Correctly

acute, obtuse

vertical, supplementary

supplementary, vertical

obtuse, acute


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


3

The dimensions of this cube are height (h) = 9, length (l) = 9, and width (w) = 9. What is the volume?

82% Answer Correctly
8
196
729
35

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 9 x 9 x 9
v = 729


4

Solve for a:
7a + 8 = 2 - 6a

58% Answer Correctly
\(\frac{1}{2}\)
-\(\frac{6}{13}\)
\(\frac{1}{8}\)
2\(\frac{1}{2}\)

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.

7a + 8 = 2 - 6a
7a = 2 - 6a - 8
7a + 6a = 2 - 8
13a = -6
a = \( \frac{-6}{13} \)
a = -\(\frac{6}{13}\)


5

Which of the following statements about math operations is incorrect?

70% Answer Correctly

all of these statements are correct

you can multiply monomials that have different variables and different exponents

you can subtract monomials that have the same variable and the same exponent

you can add monomials that have the same variable and the same exponent


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.