ASVAB Math Knowledge Practice Test 22525 Results

Your Results Global Average
Questions 5 5
Correct 0 3.24
Score 0% 65%

Review

1

Simplify (3a)(8ab) + (9a2)(3b).

66% Answer Correctly
-3ab2
51a2b
-3a2b
51ab2

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.

(3a)(8ab) + (9a2)(3b)
(3 x 8)(a x a x b) + (9 x 3)(a2 x b)
(24)(a1+1 x b) + (27)(a2b)
24a2b + 27a2b
51a2b


2

Simplify (y + 6)(y + 3)

64% Answer Correctly
y2 + 9y + 18
y2 + 3y - 18
y2 - 3y - 18
y2 - 9y + 18

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:

(y + 6)(y + 3)
(y x y) + (y x 3) + (6 x y) + (6 x 3)
y2 + 3y + 6y + 18
y2 + 9y + 18


3

Simplify 9a x 3b.

86% Answer Correctly
27\( \frac{b}{a} \)
27ab
27a2b2
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


4

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

84% Answer Correctly

Inside

Last

First

Odd


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.


5

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π d

c = π d2

c = π r2

c = π r


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.