ASVAB Math Knowledge Practice Test 518338 Results

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

Review

1

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

69% Answer Correctly
81π

Solution

The formula for area is πr2:

a = πr2
a = π(32)
a = 9π


2

Solve for z:
-8z - 2 > \( \frac{z}{4} \)

44% Answer Correctly
z > 3\(\frac{1}{2}\)
z > -1\(\frac{3}{13}\)
z > \(\frac{27}{46}\)
z > -\(\frac{8}{33}\)

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.

-8z - 2 > \( \frac{z}{4} \)
4 x (-8z - 2) > z
(4 x -8z) + (4 x -2) > z
-32z - 8 > z
-32z - 8 - z > 0
-32z - z > 8
-33z > 8
z > \( \frac{8}{-33} \)
z > -\(\frac{8}{33}\)


3

If angle a = 59° and angle b = 37° what is the length of angle c?

71% Answer Correctly
106°
87°
82°
84°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 59° - 37° = 84°


4

What is 9a + 9a?

81% Answer Correctly
81a
81a2
18a2
18a

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.

9a + 9a = 18a


5

Which of the following statements about math operations is incorrect?

70% Answer Correctly

you can subtract monomials that have the same variable and the same exponent

you can add monomials that have the same variable and the same exponent

all of these statements are correct

you can multiply monomials that have different variables and different exponents


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.