ASVAB Math Knowledge Practice Test 318606 Results

Your Results Global Average
Questions 5 5
Correct 0 3.59
Score 0% 72%

Review

1

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

91% Answer Correctly

addition

division

exponents

pairs


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)


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

same-side interior angles are complementary and equal each other

all of the angles formed by a transversal are called interior 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°).


3

What is 4a + 7a?

81% Answer Correctly
28a
11a
11a2
-3

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 = 11a


4

Simplify (6a)(3ab) + (6a2)(7b).

65% Answer Correctly
117a2b
117ab2
60a2b
-24a2b

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) + (6a2)(7b)
(6 x 3)(a x a x b) + (6 x 7)(a2 x b)
(18)(a1+1 x b) + (42)(a2b)
18a2b + 42a2b
60a2b


5

The dimensions of this cube are height (h) = 3, length (l) = 1, and width (w) = 8. What is the volume?

83% Answer Correctly
448
6
196
24

Solution

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

v = h x l x w
v = 3 x 1 x 8
v = 24