ASVAB Math Knowledge Practice Test 782871 Results

Your Results Global Average
Questions 5 5
Correct 0 2.69
Score 0% 54%

Review

1

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

46% Answer Correctly

radius

chord

circumference

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

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

24% Answer Correctly

c = π r

c = π d

c = π d2

c = π r2


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.


3

Simplify (y - 3)(y - 6)

63% Answer Correctly
y2 - 3y - 18
y2 - 9y + 18
y2 + 9y + 18
y2 + 3y - 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 - 3)(y - 6)
(y x y) + (y x -6) + (-3 x y) + (-3 x -6)
y2 - 6y - 3y + 18
y2 - 9y + 18


4

Simplify (2a)(8ab) + (3a2)(2b).

65% Answer Correctly
50a2b
22a2b
-10a2b
50ab2

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.

(2a)(8ab) + (3a2)(2b)
(2 x 8)(a x a x b) + (3 x 2)(a2 x b)
(16)(a1+1 x b) + (6)(a2b)
16a2b + 6a2b
22a2b


5

Which of the following statements about math operations is incorrect?

70% Answer Correctly

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

you can multiply monomials that have different variables and different exponents


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.