ASVAB Math Knowledge Practice Test 686545 Results

Your Results Global Average
Questions 5 5
Correct 0 2.85
Score 0% 57%

Review

1

Simplify (y + 5)(y + 1)

63% Answer Correctly
y2 - 6y + 5
y2 + 6y + 5
y2 - 4y - 5
y2 + 4y - 5
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 + 5)(y + 1)
(y x y) + (y x 1) + (5 x y) + (5 x 1)
y2 + y + 5y + 5
y2 + 6y + 5

2

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

74% Answer Correctly

deconstructing

squaring

factoring

normalizing
Solution

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

3

If BD = 24 and AD = 29, AB = ?

76% Answer Correctly
13
15
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 = 29 - 24
AB = 5

4

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

c2 + a2

c - a

c2 - a2

a2 - c2

Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)

5

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.