ASVAB Math Knowledge Practice Test 821762 Results

Your Results Global Average
Questions 5 5
Correct 0 2.65
Score 0% 53%

Review

1

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

equilateral and right

equilateral, isosceles and right

equilateral and isosceles

isosceles and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


2

The endpoints of this line segment are at (-2, 3) and (2, -5). What is the slope-intercept equation for this line?

41% Answer Correctly
y = -\(\frac{1}{2}\)x - 3
y = -3x + 0
y = x - 1
y = -2x - 1

Solution

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -1. 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, 3) and (2, -5) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)
m = -2

Plugging these values into the slope-intercept equation:

y = -2x - 1


3

What is 9a5 - 5a5?

74% Answer Correctly
4a5
14
a510
4

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.

9a5 - 5a5 = 4a5


4

Solve for b:
b2 - b + 0 = 2b - 2

49% Answer Correctly
2 or -3
4 or -5
1 or 2
8 or 6

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 - b + 0 = 2b - 2
b2 - b + 0 + 2 = 2b
b2 - b - 2b + 2 = 0
b2 - 3b + 2 = 0

Next, factor the quadratic equation:

b2 - 3b + 2 = 0
(b - 1)(b - 2) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 1) or (b - 2) must equal zero:

If (b - 1) = 0, b must equal 1
If (b - 2) = 0, b must equal 2

So the solution is that b = 1 or 2


5

On this circle, line segment CD is the:

46% Answer Correctly

diameter

chord

radius

circumference


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).