ASVAB Math Knowledge Practice Test 279113 Results

Your Results Global Average
Questions 5 5
Correct 0 3.32
Score 0% 66%

Review

1

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

41% Answer Correctly
y = -x + 4
y = -2x + 0
y = 1\(\frac{1}{2}\)x + 4
y = 2\(\frac{1}{2}\)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 3. 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, 8) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(8.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)
m = 2\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

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


2

What is 8a8 - 8a8?

73% Answer Correctly
0
a816
0a8
16

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.

8a8 - 8a8 = 0a8


3

A coordinate grid is composed of which of the following?

88% Answer Correctly

y-axis

all of these

origin

x-axis


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


4

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

60% Answer Correctly

obtuse, acute

supplementary, vertical

acute, obtuse

vertical, supplementary


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


5

If b = 6 and z = -5, what is the value of 8b(b - z)?

68% Answer Correctly
-30
-70
-54
528

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.)

8b(b - z)
8(6)(6 + 5)
8(6)(11)
(48)(11)
528