ASVAB Math Knowledge Practice Test 158106 Results

Your Results Global Average
Questions 5 5
Correct 0 3.26
Score 0% 65%

Review

1

Simplify (y - 1)(y - 7)

64% Answer Correctly
y2 + 8y + 7
y2 - 6y - 7
y2 - 8y + 7
y2 + 6y - 7
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 - 7)
(y x y) + (y x -7) + (-1 x y) + (-1 x -7)
y2 - 7y - y + 7
y2 - 8y + 7

2

The dimensions of this trapezoid are a = 5, b = 4, c = 8, d = 9, and h = 4. What is the area?

51% Answer Correctly
16
24
37\(\frac{1}{2}\)
26
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(4 + 9)(4)
a = ½(13)(4)
a = ½(52) = \( \frac{52}{2} \)
a = 26

3

If BD = 10 and AD = 11, AB = ?

76% Answer Correctly
20
1
16
11
Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 11 - 10
AB = 1

4

Which of the following statements about a triangle is not true?

58% Answer Correctly

area = ½bh

exterior angle = sum of two adjacent interior angles

sum of interior angles = 180°

perimeter = sum of side lengths
Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.

5

Breaking apart a quadratic expression into a pair of binomials is called:

75% Answer Correctly

factoring

normalizing

deconstructing

squaring
Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.