ASVAB Math Knowledge Practice Test 140616 Results

Your Results Global Average
Questions 5 5
Correct 0 3.16
Score 0% 63%

Review

1

A right angle measures:

90% Answer Correctly

45°

90°

180°

360°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


2

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

74% Answer Correctly

factoring

squaring

normalizing

deconstructing


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

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

same-side interior angles are complementary and 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

Simplify (y + 7)(y + 1)

63% Answer Correctly
y2 + 6y - 7
y2 + 8y + 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 + 7)(y + 1)
(y x y) + (y x 1) + (7 x y) + (7 x 1)
y2 + y + 7y + 7
y2 + 8y + 7


5

The dimensions of this trapezoid are a = 4, b = 2, c = 5, d = 3, and h = 2. What is the area?

51% Answer Correctly
26
34
5
12

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(2 + 3)(2)
a = ½(5)(2)
a = ½(10) = \( \frac{10}{2} \)
a = 5