ASVAB Math Knowledge Practice Test 138604 Results

Your Results Global Average
Questions 5 5
Correct 0 3.07
Score 0% 61%

Review

1

What is the circumference of a circle with a radius of 12?

71% Answer Correctly
32π
19π
24π

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 * 12)
c = 24π


2

If the base of this triangle is 7 and the height is 1, what is the area?

58% Answer Correctly
45
35
60
3\(\frac{1}{2}\)

Solution

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

a = ½bh
a = ½ x 7 x 1 = \( \frac{7}{2} \) = 3\(\frac{1}{2}\)


3

Solve for a:
-4a - 4 > 8 - 2a

55% Answer Correctly
a > -\(\frac{7}{9}\)
a > 1\(\frac{3}{5}\)
a > \(\frac{7}{8}\)
a > -6

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.

-4a - 4 > 8 - 2a
-4a > 8 - 2a + 4
-4a + 2a > 8 + 4
-2a > 12
a > \( \frac{12}{-2} \)
a > -6


4

Solve for z:
-2z - 6 = -1 + 3z

59% Answer Correctly
-\(\frac{2}{3}\)
1\(\frac{2}{7}\)
3
-1

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.

-2z - 6 = -1 + 3z
-2z = -1 + 3z + 6
-2z - 3z = -1 + 6
-5z = 5
z = \( \frac{5}{-5} \)
z = -1


5

Simplify (y + 2)(y + 2)

64% Answer Correctly
y2 - 4
70
y2 - 4y + 4
y2 + 4y + 4

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 2)(y + 2)
(y x y) + (y x 2) + (2 x y) + (2 x 2)
y2 + 2y + 2y + 4
y2 + 4y + 4