ASVAB Math Knowledge Practice Test 712220 Results

Your Results Global Average
Questions 5 5
Correct 0 3.37
Score 0% 67%

Review

1

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

36% Answer Correctly

all acute angles equal each other

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

same-side interior angles are complementary and equal each other

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


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°).


2

Simplify 2a x 6b.

86% Answer Correctly
12a2b2
12\( \frac{b}{a} \)
8ab
12ab

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

2a x 6b = (2 x 6) (a x b) = 12ab


3

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

61% Answer Correctly

supplementary, vertical

acute, obtuse

vertical, supplementary

obtuse, acute


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


4

What is 8a5 + 4a5?

75% Answer Correctly
12a10
12
12a5
a510

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.

8a5 + 4a5 = 12a5


5

If a = c = 3, b = d = 6, what is the area of this rectangle?

80% Answer Correctly
6
28
18
27

Solution

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

a = l x w
a = a x b
a = 3 x 6
a = 18