ASVAB Math Knowledge Practice Test 59459 Results

Your Results Global Average
Questions 5 5
Correct 0 2.98
Score 0% 60%

Review

1

What is the circumference of a circle with a diameter of 16?

71% Answer Correctly
18π
15π
36π
16π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 16π


2

This diagram represents two parallel lines with a transversal. If w° = 26, what is the value of z°?

73% Answer Correctly
150
25
26
38

Solution

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
  • same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with w° = 26, the value of z° is 26.


3

Solve for y:
-3y + 6 < -3 - 2y

55% Answer Correctly
y < 9
y < -2
y < -\(\frac{3}{8}\)
y < -1

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.

-3y + 6 < -3 - 2y
-3y < -3 - 2y - 6
-3y + 2y < -3 - 6
-y < -9
y < \( \frac{-9}{-1} \)
y < 9


4

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

41% Answer Correctly
y = -1\(\frac{1}{2}\)x + 1
y = x + 4
y = -2x + 4
y = 2\(\frac{1}{2}\)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 0. 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, -5) and (2, 5) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (-5.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)
m = 2\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = 2\(\frac{1}{2}\)x + 0


5

Solve for c:
c2 - 3c - 10 = 0

58% Answer Correctly
7 or -5
9 or -5
2 or -6
-2 or 5

Solution

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

c2 - 3c - 10 = 0
(c + 2)(c - 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 2) or (c - 5) must equal zero:

If (c + 2) = 0, c must equal -2
If (c - 5) = 0, c must equal 5

So the solution is that c = -2 or 5