ASVAB Math Knowledge Practice Test 716388 Results

Your Results Global Average
Questions 5 5
Correct 0 3.13
Score 0% 63%

Review

1

What is the circumference of a circle with a radius of 3?

71% Answer Correctly
18π
34π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 3)
c = 6π


2

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

46% Answer Correctly

circumference

radius

diameter

chord


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).


3

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

83% Answer Correctly

Inside

Last

Odd

First


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.


4

Solve for y:
y2 - y - 35 = -4y + 5

48% Answer Correctly
8 or -3
5 or -8
7 or 6
-1 or -7

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

y2 - y - 35 = -4y + 5
y2 - y - 35 - 5 = -4y
y2 - y + 4y - 40 = 0
y2 + 3y - 40 = 0

Next, factor the quadratic equation:

y2 + 3y - 40 = 0
(y - 5)(y + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 5) or (y + 8) must equal zero:

If (y - 5) = 0, y must equal 5
If (y + 8) = 0, y must equal -8

So the solution is that y = 5 or -8


5

Simplify (3a)(6ab) - (6a2)(6b).

62% Answer Correctly
54a2b
-18a2b
108ab2
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.

(3a)(6ab) - (6a2)(6b)
(3 x 6)(a x a x b) - (6 x 6)(a2 x b)
(18)(a1+1 x b) - (36)(a2b)
18a2b - 36a2b
-18a2b