ASVAB Math Knowledge Practice Test 598602 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.08
Score	0%	62%

Review

Solve for c:
3c + 3 = 2 - 5c

59% Answer Correctly

	\(\frac{3}{4}\)
	3
	-\(\frac{1}{8}\)
	-\(\frac{7}{8}\)

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.

3c + 3 = 2 - 5c
3c = 2 - 5c - 3
3c + 5c = 2 - 3
8c = -1
c = \( \frac{-1}{8} \)
c = -\(\frac{1}{8}\)

The dimensions of this cube are height (h) = 4, length (l) = 3, and width (w) = 9. What is the volume?

83% Answer Correctly

	70
	72
	108
	252

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 4 x 3 x 9
v = 108

If BD = 15 and AD = 25, AB = ?

76% Answer Correctly

	11
	3
	10
	4

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 25 - 15
AB = 10

A(n) __________ is to a parallelogram as a square is to a rectangle.

51% Answer Correctly

	trapezoid
	triangle
	quadrilateral
	rhombus

Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.

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

42% Answer Correctly

	y-intercept
	slope
	\({\Delta y \over \Delta x}\)
	x-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.