ASVAB Math Knowledge Practice Test 27961 Results

Your Results Global Average
Questions 5 5
Correct 0 2.90
Score 0% 58%

Review

1

What is 2a + 6a?

81% Answer Correctly
8
a2
12a
8a

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.

2a + 6a = 8a


2

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

diameter

radius

chord

circumference


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


3

The endpoints of this line segment are at (-2, 1) and (2, -9). What is the slope-intercept equation for this line?

41% Answer Correctly
y = -1\(\frac{1}{2}\)x - 4
y = -2\(\frac{1}{2}\)x - 4
y = -x + 3
y = -3x - 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 -4. 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, 1) and (2, -9) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-9.0) - (1.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)
m = -2\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

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


4

Factor y2 + 5y - 24

54% Answer Correctly
(y - 3)(y + 8)
(y - 3)(y - 8)
(y + 3)(y - 8)
(y + 3)(y + 8)

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 -24 as well and sum (Inside, Outside) to equal 5. For this problem, those two numbers are -3 and 8. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 5y - 24
y2 + (-3 + 8)y + (-3 x 8)
(y - 3)(y + 8)


5

If a = c = 1, b = d = 9, and the blue angle = 51°, what is the area of this parallelogram?

66% Answer Correctly
2
9
72
7

Solution

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 1 x 9
a = 9