ASVAB Math Knowledge Practice Test 71613 Results

Your Results Global Average
Questions 5 5
Correct 0 3.00
Score 0% 60%

Review

1

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

53% Answer Correctly

π r2h2

π r2h

4π r2

2(π r2) + 2π rh


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.


2

Solve 8a - 3a = 5a + 6x - 1 for a in terms of x.

34% Answer Correctly
3x - 3
\(\frac{5}{7}\)x - \(\frac{1}{7}\)
3x - \(\frac{1}{3}\)
-1\(\frac{5}{8}\)x - 1

Solution

To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.

8a - 3x = 5a + 6x - 1
8a = 5a + 6x - 1 + 3x
8a - 5a = 6x - 1 + 3x
3a = 9x - 1
a = \( \frac{9x - 1}{3} \)
a = \( \frac{9x}{3} \) + \( \frac{-1}{3} \)
a = 3x - \(\frac{1}{3}\)


3

The dimensions of this cylinder are height (h) = 8 and radius (r) = 8. What is the surface area?

48% Answer Correctly
144π
256π
120π
56π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 8)
sa = 2π(64) + 2π(64)
sa = (2 x 64)π + (2 x 64)π
sa = 128π + 128π
sa = 256π


4

What is 5a - 4a?

79% Answer Correctly
1a
9
1
20a

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.

5a - 4a = 1a


5

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

83% Answer Correctly

Last

First

Odd

Inside


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.