ASVAB Math Knowledge Practice Test 280408 Results

Your Results Global Average
Questions 5 5
Correct 0 3.19
Score 0% 64%

Review

1

If the length of AB equals the length of BD, point B __________ this line segment.

45% Answer Correctly

intersects

midpoints

bisects

trisects


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.


2

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

77% Answer Correctly

a = π d

a = π r2

a = π r

a = π d2


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.


3

Solve for a:
-6a + 4 < 1 + 3a

55% Answer Correctly
a < -\(\frac{1}{2}\)
a < \(\frac{1}{3}\)
a < \(\frac{5}{8}\)
a < -\(\frac{2}{9}\)

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 + 4 < 1 + 3a
-6a < 1 + 3a - 4
-6a - 3a < 1 - 4
-9a < -3
a < \( \frac{-3}{-9} \)
a < \(\frac{1}{3}\)


4

Which of the following statements about a triangle is not true?

57% Answer Correctly

area = ½bh

sum of interior angles = 180°

perimeter = sum of side lengths

exterior angle = sum of two adjacent interior angles


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


5

Simplify 9a x 8b.

85% Answer Correctly
72a2b2
72ab
72\( \frac{b}{a} \)
17ab

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

9a x 8b = (9 x 8) (a x b) = 72ab