ASVAB Math Knowledge Practice Test 327686 Results

Your Results Global Average
Questions 5 5
Correct 0 2.91
Score 0% 58%

Review

1

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

diameter

radius

circumference

chord


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

Breaking apart a quadratic expression into a pair of binomials is called:

75% Answer Correctly

factoring

squaring

deconstructing

normalizing


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.


3

The endpoints of this line segment are at (-2, 5) and (2, -1). What is the slope of this line?

46% Answer Correctly
-1\(\frac{1}{2}\)
1\(\frac{1}{2}\)
-\(\frac{1}{2}\)
2

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 5) and (2, -1) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (5.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)
m = -1\(\frac{1}{2}\)


4

Simplify (8a)(6ab) + (7a2)(7b).

65% Answer Correctly
97a2b
ab2
-ab2
a2b

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.

(8a)(6ab) + (7a2)(7b)
(8 x 6)(a x a x b) + (7 x 7)(a2 x b)
(48)(a1+1 x b) + (49)(a2b)
48a2b + 49a2b
97a2b


5

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

58% Answer Correctly

perimeter = sum of side lengths

sum of interior angles = 180°

exterior angle = sum of two adjacent interior angles

area = ½bh


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.