ASVAB Math Knowledge Practice Test 685296 Results

Your Results Global Average
Questions 5 5
Correct 0 3.42
Score 0% 68%

Review

1

What is the area of a circle with a radius of 5?

69% Answer Correctly
25π
49π

Solution

The formula for area is πr2:

a = πr2
a = π(52)
a = 25π


2

Which of the following is not required to define the slope-intercept equation for a line?

42% Answer Correctly

\({\Delta y \over \Delta x}\)

x-intercept

y-intercept

slope


Solution

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.


3

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

57% Answer Correctly

sum of interior angles = 180°

exterior angle = sum of two adjacent interior angles

perimeter = sum of side lengths

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.


4

Simplify 3a x 5b.

85% Answer Correctly
15a2b2
15ab
15\( \frac{a}{b} \)
15\( \frac{b}{a} \)

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.

3a x 5b = (3 x 5) (a x b) = 15ab


5

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

88% Answer Correctly

addition

exponents

division

pairs


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)