ASVAB Math Knowledge Practice Test 628968 Results

Your Results Global Average
Questions 5 5
Correct 0 3.60
Score 0% 72%

Review

1

Simplify 9a x 3b.

85% Answer Correctly
27a2b2
27ab
12ab
27\( \frac{a}{b} \)
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 x 3b = (9 x 3) (a x b) = 27ab

2

Factor y2 + 13y + 36

53% Answer Correctly
(y + 4)(y - 9)
(y - 4)(y + 9)
(y - 4)(y - 9)
(y + 4)(y + 9)
Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 36 as well and sum (Inside, Outside) to equal 13. For this problem, those two numbers are 4 and 9. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 13y + 36
y2 + (4 + 9)y + (4 x 9)
(y + 4)(y + 9)

3

If BD = 18 and AD = 19, AB = ?

75% Answer Correctly
18
1
20
12
Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 19 - 18
AB = 1

4

The dimensions of this cube are height (h) = 7, length (l) = 9, and width (w) = 6. What is the volume?

82% Answer Correctly
378
144
180
24
Solution

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

v = h x l x w
v = 7 x 9 x 6
v = 378

5

Simplify (5a)(9ab) + (5a2)(7b).

65% Answer Correctly
-10ab2
10a2b
80a2b
80ab2
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.

(5a)(9ab) + (5a2)(7b)
(5 x 9)(a x a x b) + (5 x 7)(a2 x b)
(45)(a1+1 x b) + (35)(a2b)
45a2b + 35a2b
80a2b