ASVAB Math Knowledge Practice Test 466733 Results

Your Results Global Average
Questions 5 5
Correct 0 3.33
Score 0% 67%

Review

1

Solve for a:
6a - 3 < \( \frac{a}{9} \)

44% Answer Correctly
a < -3\(\frac{3}{13}\)
a < \(\frac{27}{53}\)
a < -\(\frac{8}{15}\)
a < -3\(\frac{3}{7}\)

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 < sign and the answer on the other.

6a - 3 < \( \frac{a}{9} \)
9 x (6a - 3) < a
(9 x 6a) + (9 x -3) < a
54a - 27 < a
54a - 27 - a < 0
54a - a < 27
53a < 27
a < \( \frac{27}{53} \)
a < \(\frac{27}{53}\)


2

A coordinate grid is composed of which of the following?

88% Answer Correctly

x-axis

y-axis

origin

all of these


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


3

On this circle, line segment CD is the:

46% Answer Correctly

chord

circumference

radius

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).


4

Which of the following statements about math operations is incorrect?

70% Answer Correctly

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

you can multiply monomials that have different variables and different exponents

all of these statements are correct


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.


5

What is 8a + 5a?

81% Answer Correctly
40a2
13a
13
40a

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.

8a + 5a = 13a