ASVAB Math Knowledge Practice Test 192775 Results

Your Results Global Average
Questions 5 5
Correct 0 3.34
Score 0% 67%

Review

1

What is the circumference of a circle with a radius of 3?

70% Answer Correctly
30π
11π
10π

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 * 3)
c = 6π


2

What is 8a + 2a?

81% Answer Correctly
16a
16a2
10a
a2

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.

8a + 2a = 10a


3

Solve for y:
y2 - 11y - 4 = -4y + 4

48% Answer Correctly
-1 or 8
-4 or -5
4 or -3
-2 or -2

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:

y2 - 11y - 4 = -4y + 4
y2 - 11y - 4 - 4 = -4y
y2 - 11y + 4y - 8 = 0
y2 - 7y - 8 = 0

Next, factor the quadratic equation:

y2 - 7y - 8 = 0
(y + 1)(y - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 1) or (y - 8) must equal zero:

If (y + 1) = 0, y must equal -1
If (y - 8) = 0, y must equal 8

So the solution is that y = -1 or 8


4

A coordinate grid is composed of which of the following?

88% Answer Correctly

all of these

origin

x-axis

y-axis


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


5

Solve for a:
-9a - 3 < \( \frac{a}{2} \)

44% Answer Correctly
a < 1\(\frac{1}{9}\)
a < -\(\frac{15}{19}\)
a < -\(\frac{6}{19}\)
a < \(\frac{5}{12}\)

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.

-9a - 3 < \( \frac{a}{2} \)
2 x (-9a - 3) < a
(2 x -9a) + (2 x -3) < a
-18a - 6 < a
-18a - 6 - a < 0
-18a - a < 6
-19a < 6
a < \( \frac{6}{-19} \)
a < -\(\frac{6}{19}\)