ASVAB Math Knowledge Practice Test 722975 Results

Your Results Global Average
Questions 5 5
Correct 0 2.97
Score 0% 59%

Review

1

If a = c = 8, b = d = 1, and the blue angle = 61°, what is the area of this parallelogram?

65% Answer Correctly
20
54
8
4

Solution

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

a = l x w
a = a x b
a = 8 x 1
a = 8


2

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 acute angles 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°).


3

Simplify (2a)(6ab) + (7a2)(8b).

65% Answer Correctly
-44ab2
68a2b
44ab2
120a2b

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)(6ab) + (7a2)(8b)
(2 x 6)(a x a x b) + (7 x 8)(a2 x b)
(12)(a1+1 x b) + (56)(a2b)
12a2b + 56a2b
68a2b


4

The dimensions of this cube are height (h) = 4, length (l) = 3, and width (w) = 9. What is the surface area?

51% Answer Correctly
150
214
342
318

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 9) + (2 x 9 x 4) + (2 x 3 x 4)
sa = (54) + (72) + (24)
sa = 150


5

What is 4a - 7a?

79% Answer Correctly
11
-3a
-3
11a2

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.

4a - 7a = -3a