ASVAB Math Knowledge Practice Test 448908 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.69
Score	0%	74%

Review

What is 4a - 8a?

80% Answer Correctly

	-4a²
	12a²
	a²
	-4a

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

4a - 8a = -4a

If BD = 17 and AD = 27, AB = ?

76% Answer Correctly

	16
	12
	10
	2

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 = 27 - 17
AB = 10

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

88% Answer Correctly

	pairs
	division
	addition
	exponents

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.)

The endpoints of this line segment are at (-2, 8) and (2, -4). What is the slope-intercept equation for this line?

41% Answer Correctly

	y = -2x + 2
	y = \(\frac{1}{2}\)x - 1
	y = -3x - 1
	y = -3x + 2

Solution

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 2. 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, 8) and (2, -4) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (8.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)
m = -3

Plugging these values into the slope-intercept equation:

y = -3x + 2

The dimensions of this cube are height (h) = 4, length (l) = 5, and width (w) = 3. What is the volume?

83% Answer Correctly

	140
	60
	30
	189

Solution

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

v = h x l x w
v = 4 x 5 x 3
v = 60