ASVAB Math Knowledge Practice Test 662097 Results

Your Results Global Average
Questions 5 5
Correct 0 3.16
Score 0% 63%

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

If a = c = 3, b = d = 7, what is the area of this rectangle?

80% Answer Correctly
21
8
42
2

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 3 x 7
a = 21


3

Solve for y:
y2 - 7y + 6 = -3y + 2

48% Answer Correctly
2
5 or 5
5 or 1
-2 or -5

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 - 7y + 6 = -3y + 2
y2 - 7y + 6 - 2 = -3y
y2 - 7y + 3y + 4 = 0
y2 - 4y + 4 = 0

Next, factor the quadratic equation:

y2 - 4y + 4 = 0
(y - 2)(y - 2) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, (y - 2) must equal zero:

If (y - 2) = 0, y must equal 2

So the solution is that y = 2


4

Solve for z:
z2 + 16z + 64 = 0

58% Answer Correctly
-6 or -9
6 or -4
-8
2 or -6

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

z2 + 16z + 64 = 0
(z + 8)(z + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, (z + 8) must equal zero:

If (z + 8) = 0, z must equal -8

So the solution is that z = -8


5

Which of the following expressions contains exactly two terms?

82% Answer Correctly

binomial

quadratic

monomial

polynomial


Solution

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