ASVAB Math Knowledge Practice Test 84177 Results

Your Results Global Average
Questions 5 5
Correct 0 3.14
Score 0% 63%

Review

1

Solve for y:
y2 - 5y - 36 = 0

58% Answer Correctly
4 or -4
6 or -9
5 or -8
-4 or 9

Solution

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

y2 - 5y - 36 = 0
(y + 4)(y - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 4) or (y - 9) must equal zero:

If (y + 4) = 0, y must equal -4
If (y - 9) = 0, y must equal 9

So the solution is that y = -4 or 9


2

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

68% Answer Correctly
1224
640
-624
-9

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 - y)
8(-8)(-8 - 2)
8(-8)(-10)
(-64)(-10)
640


3

The dimensions of this cube are height (h) = 2, length (l) = 9, and width (w) = 4. What is the surface area?

51% Answer Correctly
124
152
280
78

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 9 x 4) + (2 x 4 x 2) + (2 x 9 x 2)
sa = (72) + (16) + (36)
sa = 124


4

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

equal length

parallel

equal angle

right angle


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


5

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

2lw x 2wh + 2lh

h x l x w

h2 x l2 x w2

lw x wh + lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.