ASVAB Math Knowledge Practice Test 556801 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.31
Score	0%	66%

Review

If b = -2 and y = -8, what is the value of -5b(b - y)?

69% Answer Correctly

	-6
	-400
	-180
	60

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.)

-5b(b - y)
-5(-2)(-2 + 8)
-5(-2)(6)
(10)(6)
60

The endpoints of this line segment are at (-2, 2) and (2, -6). What is the slope-intercept equation for this line?

41% Answer Correctly

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

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, 2) and (2, -6) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (2.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)
m = -2

Plugging these values into the slope-intercept equation:

y = -2x - 2

Which of the following expressions contains exactly two terms?

83% Answer Correctly

	monomial
	polynomial
	quadratic
	binomial

Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.

The dimensions of this cube are height (h) = 2, length (l) = 4, and width (w) = 6. What is the volume?

83% Answer Correctly

	48
	60
	648
	54

Solution

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

v = h x l x w
v = 2 x 4 x 6
v = 48

Factor y² + 16y + 63

54% Answer Correctly

	(y - 7)(y - 9)
	(y + 7)(y + 9)
	(y - 7)(y + 9)
	(y + 7)(y - 9)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 63 as well and sum (Inside, Outside) to equal 16. For this problem, those two numbers are 7 and 9. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² + 16y + 63
y² + (7 + 9)y + (7 x 9)
(y + 7)(y + 9)