ASVAB Math Knowledge Practice Test 35115 Results

Your Results Global Average
Questions 5 5
Correct 0 3.53
Score 0% 71%

Review

1

If the base of this triangle is 6 and the height is 5, what is the area?

58% Answer Correctly
30
20
15
112\(\frac{1}{2}\)

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 6 x 5 = \( \frac{30}{2} \) = 15


2

Which of the following expressions contains exactly two terms?

81% Answer Correctly

quadratic

monomial

polynomial

binomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.


3

A coordinate grid is composed of which of the following?

88% Answer Correctly

x-axis

origin

y-axis

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.


4

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

76% Answer Correctly

a = π d2

a = π r2

a = π d

a = π r


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

Solve for x:
-6x - 1 = \( \frac{x}{9} \)

46% Answer Correctly
-2\(\frac{5}{11}\)
\(\frac{32}{65}\)
\(\frac{9}{10}\)
-\(\frac{9}{55}\)

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.

-6x - 1 = \( \frac{x}{9} \)
9 x (-6x - 1) = x
(9 x -6x) + (9 x -1) = x
-54x - 9 = x
-54x - 9 - x = 0
-54x - x = 9
-55x = 9
x = \( \frac{9}{-55} \)
x = -\(\frac{9}{55}\)