ASVAB Math Knowledge Practice Test 460998 Results

Your Results Global Average
Questions 5 5
Correct 0 3.20
Score 0% 64%

Review

1

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

69% Answer Correctly
64π
49π

Solution

The formula for area is πr2:

a = πr2
a = π(32)
a = 9π


2

If the base of this triangle is 9 and the height is 6, what is the area?

58% Answer Correctly
65
72
27
45

Solution

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

a = ½bh
a = ½ x 9 x 6 = \( \frac{54}{2} \) = 27


3

What is 7a3 - 7a3?

73% Answer Correctly
0a3
0
6
49a3

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.

7a3 - 7a3 = 0a3


4

Solve for y:
y - 3 = \( \frac{y}{-4} \)

46% Answer Correctly
\(\frac{3}{17}\)
2\(\frac{2}{5}\)
-1\(\frac{3}{7}\)
\(\frac{3}{8}\)

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 equal sign and the answer on the other.

y - 3 = \( \frac{y}{-4} \)
-4 x (y - 3) = y
(-4 x y) + (-4 x -3) = y
-4y + 12 = y
-4y + 12 - y = 0
-4y - y = -12
-5y = -12
y = \( \frac{-12}{-5} \)
y = 2\(\frac{2}{5}\)


5

This diagram represents two parallel lines with a transversal. If y° = 148, what is the value of d°?

73% Answer Correctly
39
148
169
19

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 y° = 148, the value of d° is 148.