ASVAB Math Knowledge Practice Test 236017 Results

Your Results Global Average
Questions 5 5
Correct 0 3.06
Score 0% 61%

Review

1

What is 6a - 9a?

80% Answer Correctly
-3
-3a
54a2
15a2

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.

6a - 9a = -3a


2

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 acute angles equal each other

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

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°).


3

If a = c = 9, b = d = 10, and the blue angle = 58°, what is the area of this parallelogram?

66% Answer Correctly
90
30
35
4

Solution

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

a = l x w
a = a x b
a = 9 x 10
a = 90


4

Simplify (6a)(3ab) + (9a2)(2b).

65% Answer Correctly
36a2b
99ab2
36ab2
b2

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.

(6a)(3ab) + (9a2)(2b)
(6 x 3)(a x a x b) + (9 x 2)(a2 x b)
(18)(a1+1 x b) + (18)(a2b)
18a2b + 18a2b
36a2b


5

If the base of this triangle is 7 and the height is 2, what is the area?

59% Answer Correctly
66
7
42
90

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 7 x 2 = \( \frac{14}{2} \) = 7