ASVAB Math Knowledge Practice Test 394349 Results

Your Results Global Average
Questions 5 5
Correct 0 3.08
Score 0% 62%

Review

1

Factor y2 + 3y - 4

54% Answer Correctly
(y - 1)(y - 4)
(y + 1)(y - 4)
(y - 1)(y + 4)
(y + 1)(y + 4)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -4 as well and sum (Inside, Outside) to equal 3. For this problem, those two numbers are -1 and 4. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 3y - 4
y2 + (-1 + 4)y + (-1 x 4)
(y - 1)(y + 4)


2

What is 8a + 5a?

81% Answer Correctly
13a
40a2
13
13a2

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 + 5a = 13a


3

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

70% Answer Correctly
16π

Solution

The formula for area is πr2:

a = πr2
a = π(32)
a = 9π


4

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

radius

circumference

chord

diameter


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 + 6 < 8 - 9c

55% Answer Correctly
c < \(\frac{1}{4}\)
c < 1
c < -2
c < -4\(\frac{1}{2}\)

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 + 6 < 8 - 9c
-c < 8 - 9c - 6
-c + 9c < 8 - 6
8c < 2
c < \( \frac{2}{8} \)
c < \(\frac{1}{4}\)