ASVAB Math Knowledge Practice Test 269155 Results

Your Results Global Average
Questions 5 5
Correct 0 3.75
Score 0% 75%

Review

1

The formula for the area of a circle is which of the following?

78% Answer Correctly

a = π r2

a = π d2

a = π r

a = π d


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


2

Which of the following expressions contains exactly two terms?

83% Answer Correctly

quadratic

binomial

monomial

polynomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.


3

Solve for y:
y2 + 6y - 16 = -y + 2

49% Answer Correctly
5 or -8
6 or 4
2 or -9
9 or -8

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

y2 + 6y - 16 = -y + 2
y2 + 6y - 16 - 2 = -y
y2 + 6y + y - 18 = 0
y2 + 7y - 18 = 0

Next, factor the quadratic equation:

y2 + 7y - 18 = 0
(y - 2)(y + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 2) or (y + 9) must equal zero:

If (y - 2) = 0, y must equal 2
If (y + 9) = 0, y must equal -9

So the solution is that y = 2 or -9


4

The dimensions of this cube are height (h) = 6, length (l) = 2, and width (w) = 7. What is the volume?

83% Answer Correctly
84
48
168
64

Solution

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

v = h x l x w
v = 6 x 2 x 7
v = 84


5

What is 3a - 9a?

80% Answer Correctly
27a
12
-6a
27a2

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.

3a - 9a = -6a