ASVAB Math Knowledge Practice Test 59570 Results

Your Results Global Average
Questions 5 5
Correct 0 3.17
Score 0% 63%

Review

1

Simplify (y + 1)(y + 8)

62% Answer Correctly
y2 - 7y - 8
y2 + 7y - 8
y2 + 9y + 8
y2 - 9y + 8

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 + 8)
(y x y) + (y x 8) + (1 x y) + (1 x 8)
y2 + 8y + y + 8
y2 + 9y + 8


2

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

74% Answer Correctly

deconstructing

squaring

normalizing

factoring


Solution

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


3

Which of the following statements about parallel lines with a transversal is not correct?

36% Answer Correctly

same-side interior angles are complementary and equal each other

angles in the same position on different parallel lines are called corresponding angles

all of the angles formed by a transversal are called interior angles

all acute angles equal each other


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).


4

What is the area of a circle with a diameter of 6?

69% Answer Correctly
49π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π


5

Order the following types of angle from least number of degrees to most number of degrees.

74% Answer Correctly

right, obtuse, acute

acute, obtuse, right

right, acute, obtuse

acute, right, obtuse


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.