ASVAB Math Knowledge Practice Test 50908 Results

Your Results Global Average
Questions 5 5
Correct 0 3.18
Score 0% 64%

Review

1

If a = c = 9, b = d = 8, and the blue angle = 54°, what is the area of this parallelogram?

65% Answer Correctly
54
25
72
24

Solution

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 9 x 8
a = 72


2

The dimensions of this trapezoid are a = 6, b = 5, c = 8, d = 9, and h = 5. What is the area?

50% Answer Correctly
30
34
14
35

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(5 + 9)(5)
a = ½(14)(5)
a = ½(70) = \( \frac{70}{2} \)
a = 35


3

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

36% Answer Correctly

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

same-side interior angles are complementary and equal each other

angles in the same position on different parallel lines are called corresponding 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 2a + 9a?

80% Answer Correctly
11
18a2
11a
18a

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

2a + 9a = 11a


5

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

83% Answer Correctly

First

Odd

Last

Inside


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.