ASVAB Math Knowledge Practice Test 508457 Results

Your Results Global Average
Questions 5 5
Correct 0 3.46
Score 0% 69%

Review

1

Simplify (6a)(6ab) + (2a2)(6b).

65% Answer Correctly
96a2b
-24a2b
-24ab2
48a2b

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.

(6a)(6ab) + (2a2)(6b)
(6 x 6)(a x a x b) + (2 x 6)(a2 x b)
(36)(a1+1 x b) + (12)(a2b)
36a2b + 12a2b
48a2b


2

Factor y2 + 15y + 54

54% Answer Correctly
(y + 6)(y + 9)
(y - 6)(y + 9)
(y - 6)(y - 9)
(y + 6)(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 54 as well and sum (Inside, Outside) to equal 15. For this problem, those two numbers are 6 and 9. Then, plug these into a set of binomials using the square root of the First variable (y2):

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


3

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

77% Answer Correctly

a = π d

a = π r2

a = π r

a = π d2


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.


4

Breaking apart a quadratic expression into a pair of binomials is called:

74% Answer Correctly

factoring

normalizing

deconstructing

squaring


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.


5

A(n) __________ is two expressions separated by an equal sign.

76% Answer Correctly

problem

equation

formula

expression


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.