ASVAB Math Knowledge Practice Test 843835 Results

Your Results Global Average
Questions 5 5
Correct 0 3.38
Score 0% 68%

Review

1

A(n) __________ is two expressions separated by an equal sign.

76% Answer Correctly

problem

equation

formula

expression


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.


2

This diagram represents two parallel lines with a transversal. If a° = 16, what is the value of x°?

73% Answer Correctly
39
164
152
149

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 a° = 16, the value of x° is 164.


3

What is 5a7 - 9a7?

73% Answer Correctly
45a14
14
-4a7
-4a14

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.

5a7 - 9a7 = -4a7


4

What is the area of a circle with a diameter of 4?

69% Answer Correctly
49π
16π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{4}{2} \)
r = 2
a = πr2
a = π(22)
a = 4π


5

The endpoints of this line segment are at (-2, 1) and (2, 7). What is the slope of this line?

46% Answer Correctly
1\(\frac{1}{2}\)
-1\(\frac{1}{2}\)
2\(\frac{1}{2}\)
-1

Solution

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, 1) and (2, 7) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(7.0) - (1.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)
m = 1\(\frac{1}{2}\)