ASVAB Math Knowledge Practice Test 945362 Results

Your Results Global Average
Questions 5 5
Correct 0 2.65
Score 0% 53%

Review

1

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π d

c = π r

c = π d2

c = π r2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


2

Simplify (7a)(8ab) + (4a2)(5b).

65% Answer Correctly
76a2b
-36a2b
135a2b
36ab2

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(7a)(8ab) + (4a2)(5b)
(7 x 8)(a x a x b) + (4 x 5)(a2 x b)
(56)(a1+1 x b) + (20)(a2b)
56a2b + 20a2b
76a2b


3

If the length of AB equals the length of BD, point B __________ this line segment.

46% Answer Correctly

trisects

bisects

intersects

midpoints


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.


4

What is the circumference of a circle with a radius of 10?

71% Answer Correctly
20π
10π
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 * 10)
c = 20π


5

Solve for z:
-9z - 2 = -4 + 5z

59% Answer Correctly
\(\frac{1}{2}\)
\(\frac{1}{7}\)
9
-1\(\frac{1}{8}\)

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.

-9z - 2 = -4 + 5z
-9z = -4 + 5z + 2
-9z - 5z = -4 + 2
-14z = -2
z = \( \frac{-2}{-14} \)
z = \(\frac{1}{7}\)