ASVAB Math Knowledge Practice Test 19351 Results

Your Results Global Average
Questions 5 5
Correct 0 3.40
Score 0% 68%

Review

1

What is 6a + 3a?

81% Answer Correctly
18a
a2
3a2
9a
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 + 3a = 9a

2

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

65% Answer Correctly
-45ab2
45a2b
117a2b
45ab2
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.

(9a)(9ab) + (6a2)(6b)
(9 x 9)(a x a x b) + (6 x 6)(a2 x b)
(81)(a1+1 x b) + (36)(a2b)
81a2b + 36a2b
117a2b

3

The endpoints of this line segment are at (-2, -4) and (2, 6). What is the slope of this line?

46% Answer Correctly
2\(\frac{1}{2}\)
\(\frac{1}{2}\)
3
-\(\frac{1}{2}\)
Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -4) and (2, 6) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)
m = 2\(\frac{1}{2}\)

4

The dimensions of this cylinder are height (h) = 3 and radius (r) = 3. What is the volume?

62% Answer Correctly
729π
448π
27π
6π
Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(32 x 3)
v = 27π

5

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

83% Answer Correctly

First

Last

Odd

Inside
Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.