ASVAB Math Knowledge Practice Test 521708 Results

Your Results Global Average
Questions 5 5
Correct 0 2.90
Score 0% 58%

Review

1

Solve for c:
c2 - 13c + 36 = 0

59% Answer Correctly
8 or -9
4 or 9
1 or -6
1 or -5

Solution

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

c2 - 13c + 36 = 0
(c - 4)(c - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 4) or (c - 9) must equal zero:

If (c - 4) = 0, c must equal 4
If (c - 9) = 0, c must equal 9

So the solution is that c = 4 or 9


2

If the base of this triangle is 6 and the height is 6, what is the area?

59% Answer Correctly
18
27\(\frac{1}{2}\)
38\(\frac{1}{2}\)
65

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 6 x 6 = \( \frac{36}{2} \) = 18


3

What is the circumference of a circle with a radius of 5?

71% Answer Correctly
10π
16π
18π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 5)
c = 10π


4

On this circle, line segment CD is the:

46% Answer Correctly

circumference

radius

diameter

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).


5

Solve for c:
c - 5 < -2 + 5c

55% Answer Correctly
c < 1
c < -1\(\frac{3}{4}\)
c < -\(\frac{3}{4}\)
c < -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.

c - 5 < -2 + 5c
c < -2 + 5c + 5
c - 5c < -2 + 5
-4c < 3
c < \( \frac{3}{-4} \)
c < -\(\frac{3}{4}\)