ASVAB Math Knowledge Practice Test 172764 Results

Your Results Global Average
Questions 5 5
Correct 0 2.92
Score 0% 58%

Review

1

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

75% Answer Correctly

deconstructing

squaring

factoring

normalizing


Solution

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


2

The dimensions of this cylinder are height (h) = 2 and radius (r) = 7. What is the surface area?

48% Answer Correctly
66π
288π
126π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(72) + 2π(7 x 2)
sa = 2π(49) + 2π(14)
sa = (2 x 49)π + (2 x 14)π
sa = 98π + 28π
sa = 126π


3

Order the following types of angle from least number of degrees to most number of degrees.

75% Answer Correctly

right, acute, obtuse

acute, obtuse, right

right, obtuse, acute

acute, right, obtuse


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


4

The dimensions of this cube are height (h) = 4, length (l) = 2, and width (w) = 1. What is the surface area?

51% Answer Correctly
108
28
258
314

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 2 x 1) + (2 x 1 x 4) + (2 x 2 x 4)
sa = (4) + (8) + (16)
sa = 28


5

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

42% Answer Correctly

x-intercept

slope

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

y-intercept


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.