ASVAB Math Knowledge Practice Test 503075 Results

Your Results Global Average
Questions 5 5
Correct 0 2.85
Score 0% 57%

Review

1

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

46% Answer Correctly

circumference

diameter

chord

radius


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

What is 3a2 + 3a2?

74% Answer Correctly
6a2
6a4
9a2
0

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.

3a2 + 3a2 = 6a2


3

Solve for x:
x2 + 16x + 64 = 0

57% Answer Correctly
8 or 3
3 or -7
-8
9 or -7

Solution

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

x2 + 16x + 64 = 0
(x + 8)(x + 8) = 0

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

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

So the solution is that x = -8


4

Simplify (y + 1)(y + 7)

62% Answer Correctly
y2 + 8y + 7
y2 - 6y - 7
y2 - 8y + 7
y2 + 6y - 7

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 + 1)(y + 7)
(y x y) + (y x 7) + (1 x y) + (1 x 7)
y2 + 7y + y + 7
y2 + 8y + 7


5

The endpoints of this line segment are at (-2, 0) and (2, -6). What is the slope of this line?

46% Answer Correctly
-2\(\frac{1}{2}\)
-1\(\frac{1}{2}\)
-1
1

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 0) and (2, -6) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (0.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)
m = -1\(\frac{1}{2}\)