ASVAB Math Knowledge Practice Test 459794 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.11
Score	0%	62%

Review

The endpoints of this line segment are at (-2, 5) and (2, -7). What is the slope-intercept equation for this line?

41% Answer Correctly

	y = 1\(\frac{1}{2}\)x + 2
	y = -3x - 1
	y = 2x + 2
	y = -x - 4

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 -1. 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, 5) and (2, -7) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-7.0) - (5.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)
m = -3

Plugging these values into the slope-intercept equation:

y = -3x - 1

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

88% Answer Correctly

	division
	addition
	exponents
	pairs

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.)

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

68% Answer Correctly

	12
	140
	-49
	84

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.)

-b(b - y)
-1(-2)(-2 + 8)
-1(-2)(6)
(2)(6)
12

Solve for z:
z² + 12z + 32 = 0

58% Answer Correctly

	-2 or -2
	9 or 2
	8 or 6
	-4 or -8

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

z² + 12z + 32 = 0
(z + 4)(z + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 4) or (z + 8) must equal zero:

If (z + 4) = 0, z must equal -4
If (z + 8) = 0, z must equal -8

So the solution is that z = -4 or -8

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

51% Answer Correctly

	rhombus
	quadrilateral
	trapezoid
	triangle

Solution

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