ASVAB Math Knowledge Practice Test 858707 Results

Your Results Global Average
Questions 5 5
Correct 0 2.97
Score 0% 59%

Review

1

Factor y2 + 8y - 9

54% Answer Correctly
(y - 1)(y + 9)
(y + 1)(y + 9)
(y + 1)(y - 9)
(y - 1)(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 -9 as well and sum (Inside, Outside) to equal 8. For this problem, those two numbers are -1 and 9. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 8y - 9
y2 + (-1 + 9)y + (-1 x 9)
(y - 1)(y + 9)


2

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

51% Answer Correctly

rhombus

triangle

quadrilateral

trapezoid


Solution

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


3

The endpoints of this line segment are at (-2, 7) and (2, -1). What is the slope-intercept equation for this line?

41% Answer Correctly
y = -2x - 4
y = -2x + 3
y = x - 4
y = 3x + 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, 7) and (2, -1) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (7.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)
m = -2

Plugging these values into the slope-intercept equation:

y = -2x + 3


4

The dimensions of this cube are height (h) = 8, length (l) = 8, and width (w) = 5. What is the volume?

82% Answer Correctly
3
320
20
32

Solution

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

v = h x l x w
v = 8 x 8 x 5
v = 320


5

What is the area of a circle with a radius of 4?

69% Answer Correctly
16π

Solution

The formula for area is πr2:

a = πr2
a = π(42)
a = 16π