ASVAB Math Knowledge Practice Test 303626 Results

Your Results Global Average
Questions 5 5
Correct 0 3.21
Score 0% 64%

Review

1

What is the circumference of a circle with a diameter of 12?

71% Answer Correctly
12π
28π
15π
34π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 12π


2

The dimensions of this trapezoid are a = 5, b = 6, c = 6, d = 5, and h = 3. What is the area?

51% Answer Correctly
16
18
16\(\frac{1}{2}\)
20

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(6 + 5)(3)
a = ½(11)(3)
a = ½(33) = \( \frac{33}{2} \)
a = 16\(\frac{1}{2}\)


3

Solve for x:
x2 + x - 72 = 0

59% Answer Correctly
4 or 3
-2 or -3
8 or -9
4 or -9

Solution

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

x2 + x - 72 = 0
(x - 8)(x + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 8) or (x + 9) must equal zero:

If (x - 8) = 0, x must equal 8
If (x + 9) = 0, x must equal -9

So the solution is that x = 8 or -9


4

What is 6a4 + 9a4?

75% Answer Correctly
15a8
15a4
a48
15

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.

6a4 + 9a4 = 15a4


5

Simplify (y - 1)(y + 4)

64% Answer Correctly
y2 + 5y + 4
y2 + 3y - 4
y2 - 3y - 4
y2 - 5y + 4

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 1)(y + 4)
(y x y) + (y x 4) + (-1 x y) + (-1 x 4)
y2 + 4y - y - 4
y2 + 3y - 4