ASVAB Math Knowledge Practice Test 431119 Results

Your Results Global Average
Questions 5 5
Correct 0 3.45
Score 0% 69%

Review

1

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

76% Answer Correctly

a = π d2

a = π r2

a = π d

a = 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.


2

Simplify (9a)(2ab) - (6a2)(6b).

59% Answer Correctly
-18a2b
54ab2
132a2b
18ab2

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)(2ab) - (6a2)(6b)
(9 x 2)(a x a x b) - (6 x 6)(a2 x b)
(18)(a1+1 x b) - (36)(a2b)
18a2b - 36a2b
-18a2b


3

If a = c = 8, b = d = 3, what is the area of this rectangle?

79% Answer Correctly
48
6
7
24

Solution

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

a = l x w
a = a x b
a = 8 x 3
a = 24


4

Simplify (y + 9)(y + 6)

62% Answer Correctly
y2 - 3y - 54
y2 - 15y + 54
y2 + 3y - 54
y2 + 15y + 54

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 + 9)(y + 6)
(y x y) + (y x 6) + (9 x y) + (9 x 6)
y2 + 6y + 9y + 54
y2 + 15y + 54


5

Which of the following statements about math operations is incorrect?

70% Answer Correctly

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

all of these statements are correct

you can multiply monomials that have different variables and different exponents

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.