ASVAB Math Knowledge Practice Test 640976 Results

Your Results Global Average
Questions 5 5
Correct 0 3.28
Score 0% 66%

Review

1

If a = c = 8, b = d = 1, what is the area of this rectangle?

80% Answer Correctly
30
8
16
4

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 8 x 1
a = 8


2

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

77% Answer Correctly

a = π d2

a = π r2

a = π r

a = π d


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.


3

What is 8a7 - 2a7?

73% Answer Correctly
6a7
6
10a14
a714

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.

8a7 - 2a7 = 6a7


4

A cylinder with a radius (r) and a height (h) has a surface area of:

53% Answer Correctly

2(π r2) + 2π rh

π r2h

4π r2

π r2h2


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


5

Solve for x:
-5x + 4 = \( \frac{x}{4} \)

46% Answer Correctly
2\(\frac{2}{17}\)
\(\frac{16}{21}\)
-2\(\frac{13}{16}\)
4\(\frac{4}{11}\)

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.

-5x + 4 = \( \frac{x}{4} \)
4 x (-5x + 4) = x
(4 x -5x) + (4 x 4) = x
-20x + 16 = x
-20x + 16 - x = 0
-20x - x = -16
-21x = -16
x = \( \frac{-16}{-21} \)
x = \(\frac{16}{21}\)