ASVAB Math Knowledge Practice Test 391900 Results

Your Results Global Average
Questions 5 5
Correct 0 3.39
Score 0% 68%

Review

1

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

chord

circumference

radius

diameter


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


2

Which of the following statements about math operations is incorrect?

71% Answer Correctly

you can multiply monomials that have different variables and different exponents

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

all of these statements are correct

you can add 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.


3

Simplify (y - 6)(y + 2)

64% Answer Correctly
y2 - 8y + 12
y2 + 4y - 12
y2 - 4y - 12
y2 + 8y + 12

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 + 2)
(y x y) + (y x 2) + (-6 x y) + (-6 x 2)
y2 + 2y - 6y - 12
y2 - 4y - 12


4

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

75% Answer Correctly

squaring

normalizing

deconstructing

factoring


Solution

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


5

What is 5a + 3a?

81% Answer Correctly
8a2
a2
8
8a

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.

5a + 3a = 8a