ASVAB Math Knowledge Practice Test 708386 Results

Your Results Global Average
Questions 5 5
Correct 0 3.21
Score 0% 64%

Review

1

If a = c = 6, b = d = 7, and the blue angle = 63°, what is the area of this parallelogram?

65% Answer Correctly
30
63
42
21

Solution

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

a = l x w
a = a x b
a = 6 x 7
a = 42


2

Simplify (4a)(4ab) + (4a2)(2b).

65% Answer Correctly
24ab2
24a2b
48ab2
8ab2

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)(4ab) + (4a2)(2b)
(4 x 4)(a x a x b) + (4 x 2)(a2 x b)
(16)(a1+1 x b) + (8)(a2b)
16a2b + 8a2b
24a2b


3

The dimensions of this trapezoid are a = 5, b = 6, c = 7, d = 3, and h = 4. What is the area?

50% Answer Correctly
12\(\frac{1}{2}\)
19\(\frac{1}{2}\)
6
18

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(6 + 3)(4)
a = ½(9)(4)
a = ½(36) = \( \frac{36}{2} \)
a = 18


4

Which of the following statements about math operations is incorrect?

70% Answer Correctly

you can multiply monomials that have different variables and different exponents

you can add monomials that have the same variable and the same exponent

all of these statements are correct

you can subtract monomials that have the same variable and the same exponent


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.


5

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

parallel

right angle

equal angle

equal length


Solution

A trapezoid is a quadrilateral with one set of parallel sides.