ASVAB Math Knowledge Practice Test 557458 Results

Your Results Global Average
Questions 5 5
Correct 0 3.11
Score 0% 62%

Review

1

Simplify (4a)(7ab) - (8a2)(6b).

62% Answer Correctly
154ab2
-20a2b
76ab2
20ab2

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.

(4a)(7ab) - (8a2)(6b)
(4 x 7)(a x a x b) - (8 x 6)(a2 x b)
(28)(a1+1 x b) - (48)(a2b)
28a2b - 48a2b
-20a2b


2

The dimensions of this cube are height (h) = 9, length (l) = 2, and width (w) = 6. What is the surface area?

51% Answer Correctly
126
168
56
222

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 2 x 6) + (2 x 6 x 9) + (2 x 2 x 9)
sa = (24) + (108) + (36)
sa = 168


3

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°).


4

What is 8a - 4a?

79% Answer Correctly
12
32a
4
4a

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.

8a - 4a = 4a


5

The dimensions of this cube are height (h) = 7, length (l) = 9, and width (w) = 1. What is the volume?

83% Answer Correctly
96
63
504
48

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 7 x 9 x 1
v = 63