ASVAB Math Knowledge Practice Test 443682 Results

Your Results Global Average
Questions 5 5
Correct 0 3.26
Score 0% 65%

Review

1

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

61% Answer Correctly

vertical, supplementary

acute, obtuse

supplementary, vertical

obtuse, acute


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


2

Simplify 8a x 9b.

86% Answer Correctly
72\( \frac{b}{a} \)
72\( \frac{a}{b} \)
72ab
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.

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


3

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

42% Answer Correctly

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

y-intercept

x-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.


4

What is the area of a circle with a radius of 4?

70% Answer Correctly
25π
36π
16π

Solution

The formula for area is πr2:

a = πr2
a = π(42)
a = 16π


5

If c = 5 and z = 2, what is the value of 3c(c - z)?

69% Answer Correctly
45
432
-54
-1008

Solution

To solve this equation, 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.)

3c(c - z)
3(5)(5 - 2)
3(5)(3)
(15)(3)
45