ASVAB Math Knowledge Practice Test 495229 Results

Your Results Global Average
Questions 5 5
Correct 0 3.33
Score 0% 67%

Review

1

On this circle, line segment AB is the:

70% 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

If c = 1 and y = 9, what is the value of -3c(c - y)?

68% Answer Correctly
-45
48
24
-240

Solution

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

-3c(c - y)
-3(1)(1 - 9)
-3(1)(-8)
(-3)(-8)
24


3

Solve for b:
b2 - 10b + 58 = 5b + 4

48% Answer Correctly
3 or -5
-1 or -7
9 or -5
6 or 9

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:

b2 - 10b + 58 = 5b + 4
b2 - 10b + 58 - 4 = 5b
b2 - 10b - 5b + 54 = 0
b2 - 15b + 54 = 0

Next, factor the quadratic equation:

b2 - 15b + 54 = 0
(b - 6)(b - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 6) or (b - 9) must equal zero:

If (b - 6) = 0, b must equal 6
If (b - 9) = 0, b must equal 9

So the solution is that b = 6 or 9


4

What is the circumference of a circle with a radius of 17?

71% Answer Correctly
24π
32π
10π
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 * 17)
c = 34π


5

What is 2a4 + 3a4?

75% Answer Correctly
6a8
a48
-a8
5a4

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.

2a4 + 3a4 = 5a4