ASVAB Math Knowledge Practice Test 333031 Results

Your Results Global Average
Questions 5 5
Correct 0 3.38
Score 0% 68%

Review

1

On this circle, line segment CD is the:

46% Answer Correctly

circumference

radius

chord

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 expressions contains exactly two terms?

84% Answer Correctly

polynomial

quadratic

binomial

monomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.


3

What is 2a + 7a?

81% Answer Correctly
-5
14a
9a2
9a

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.

2a + 7a = 9a


4

Solve for y:
y2 - 21y + 71 = -4y - 1

49% Answer Correctly
3 or -4
-2 or -4
9 or 7
8 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:

y2 - 21y + 71 = -4y - 1
y2 - 21y + 71 + 1 = -4y
y2 - 21y + 4y + 72 = 0
y2 - 17y + 72 = 0

Next, factor the quadratic equation:

y2 - 17y + 72 = 0
(y - 8)(y - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 8) or (y - 9) must equal zero:

If (y - 8) = 0, y must equal 8
If (y - 9) = 0, y must equal 9

So the solution is that y = 8 or 9


5

What is 2a2 - 5a2?

74% Answer Correctly
10a2
-3a2
a24
7a4

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.

2a2 - 5a2 = -3a2