ASVAB Math Knowledge Practice Test 610312 Results

Your Results Global Average
Questions 5 5
Correct 0 3.10
Score 0% 62%

Review

1

The endpoints of this line segment are at (-2, -9) and (2, 1). What is the slope-intercept equation for this line?

41% Answer Correctly
y = -1\(\frac{1}{2}\)x - 3
y = 2\(\frac{1}{2}\)x - 4
y = -2x + 3
y = \(\frac{1}{2}\)x + 0

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 -4. 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, -9) and (2, 1) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-9.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)
m = 2\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = 2\(\frac{1}{2}\)x - 4


2

Solve for x:
x2 - 6x + 25 = 5x - 5

49% Answer Correctly
6 or 1
7 or -7
4 or -2
5 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:

x2 - 6x + 25 = 5x - 5
x2 - 6x + 25 + 5 = 5x
x2 - 6x - 5x + 30 = 0
x2 - 11x + 30 = 0

Next, factor the quadratic equation:

x2 - 11x + 30 = 0
(x - 5)(x - 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 5) or (x - 6) must equal zero:

If (x - 5) = 0, x must equal 5
If (x - 6) = 0, x must equal 6

So the solution is that x = 5 or 6


3

If angle a = 24° and angle b = 22° what is the length of angle c?

71% Answer Correctly
134°
99°
122°
92°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 24° - 22° = 134°


4

The formula for the area of a circle is which of the following?

78% Answer Correctly

a = π d

a = π r2

a = π d2

a = π r


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


5

On this circle, line segment AB is the:

71% Answer Correctly

diameter

radius

circumference

chord


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).