ASVAB Math Knowledge Practice Test 53451 Results

Your Results Global Average
Questions 5 5
Correct 0 3.44
Score 0% 69%

Review

1

Solve for y:
y2 + 10y + 9 = 0

58% Answer Correctly
3 or -7
7 or -9
6 or -5
-1 or -9

Solution

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

y2 + 10y + 9 = 0
(y + 1)(y + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 1) or (y + 9) must equal zero:

If (y + 1) = 0, y must equal -1
If (y + 9) = 0, y must equal -9

So the solution is that y = -1 or -9


2

What is 3a8 - 4a8?

74% Answer Correctly
-1a8
a816
-a16
12a8

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.

3a8 - 4a8 = -1a8


3

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

68% Answer Correctly

lw x wh + lh

h2 x l2 x w2

h x l x w

2lw x 2wh + 2lh


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.


4

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

91% 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.)


5

The dimensions of this trapezoid are a = 6, b = 3, c = 7, d = 3, and h = 4. What is the area?

51% Answer Correctly
5
16\(\frac{1}{2}\)
12
13\(\frac{1}{2}\)

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(3 + 3)(4)
a = ½(6)(4)
a = ½(24) = \( \frac{24}{2} \)
a = 12