ASVAB Math Knowledge Practice Test 757687 Results

Your Results Global Average
Questions 5 5
Correct 0 2.89
Score 0% 58%

Review

1

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

69% Answer Correctly
36π
81π

Solution

The formula for area is πr2:

a = πr2
a = π(22)
a = 4π


2

Solve for x:
-4x + 8 = \( \frac{x}{6} \)

46% Answer Correctly
1\(\frac{27}{29}\)
1\(\frac{23}{25}\)
-\(\frac{27}{32}\)
\(\frac{40}{41}\)

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.

-4x + 8 = \( \frac{x}{6} \)
6 x (-4x + 8) = x
(6 x -4x) + (6 x 8) = x
-24x + 48 = x
-24x + 48 - x = 0
-24x - x = -48
-25x = -48
x = \( \frac{-48}{-25} \)
x = 1\(\frac{23}{25}\)


3

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

45% Answer Correctly

midpoints

trisects

bisects

intersects


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.


4

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

57% Answer Correctly

exterior angle = sum of two adjacent interior angles

area = ½bh

sum of interior angles = 180°

perimeter = sum of side lengths


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

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.