ASVAB Math Knowledge Practice Test 95619 Results

Your Results Global Average
Questions 5 5
Correct 0 2.87
Score 0% 57%

Review

1

If BD = 6 and AD = 11, AB = ?

76% Answer Correctly
18
6
5
12
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 - 6
AB = 5

2

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

24% Answer Correctly

c = π r2

c = π d2

c = π r

c = 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.

3

Solve for a:
-8a + 2 > \( \frac{a}{-7} \)

45% Answer Correctly
a > 1\(\frac{4}{5}\)
a > \(\frac{16}{33}\)
a > \(\frac{45}{82}\)
a > \(\frac{14}{55}\)
Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

-8a + 2 > \( \frac{a}{-7} \)
-7 x (-8a + 2) > a
(-7 x -8a) + (-7 x 2) > a
56a - 14 > a
56a - 14 - a > 0
56a - a > 14
55a > 14
a > \( \frac{14}{55} \)
a > \(\frac{14}{55}\)

4

Simplify (y + 2)(y - 7)

64% Answer Correctly
y2 - 9y + 14
y2 + 9y + 14
y2 + 5y - 14
y2 - 5y - 14
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 + 2)(y - 7)
(y x y) + (y x -7) + (2 x y) + (2 x -7)
y2 - 7y + 2y - 14
y2 - 5y - 14

5

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

75% Answer Correctly

factoring

deconstructing

normalizing

squaring
Solution

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