ASVAB Math Knowledge Practice Test 296288 Results

Your Results Global Average
Questions 5 5
Correct 0 2.69
Score 0% 54%

Review

1

Simplify (y + 9)(y - 7)

64% Answer Correctly
y2 - 2y - 63
y2 - 16y + 63
y2 + 2y - 63
y2 + 16y + 63

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 + 9)(y - 7)
(y x y) + (y x -7) + (9 x y) + (9 x -7)
y2 - 7y + 9y - 63
y2 + 2y - 63


2

If the base of this triangle is 8 and the height is 9, what is the area?

58% Answer Correctly
15
30
36
45

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 8 x 9 = \( \frac{72}{2} \) = 36


3

Solve for a:
a2 - 3a - 28 = 0

58% Answer Correctly
-4 or 7
-1 or -4
8 or 5
9 or -4

Solution

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

a2 - 3a - 28 = 0
(a + 4)(a - 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 4) or (a - 7) must equal zero:

If (a + 4) = 0, a must equal -4
If (a - 7) = 0, a must equal 7

So the solution is that a = -4 or 7


4

If a = c = 1, b = d = 2, and the blue angle = 52°, what is the area of this parallelogram?

66% Answer Correctly
24
2
14
8

Solution

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 1 x 2
a = 2


5

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

24% Answer Correctly

c = π r

c = π r2

c = π d

c = π d2


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.