ASVAB Math Knowledge Practice Test 399505 Results

Your Results Global Average
Questions 5 5
Correct 0 3.16
Score 0% 63%

Review

1

A right angle measures:

89% Answer Correctly

180°

45°

360°

90°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


2

Solve 2a + 7a = 5a - 4z - 6 for a in terms of z.

34% Answer Correctly
3\(\frac{2}{3}\)z + 2
\(\frac{3}{5}\)z + 1\(\frac{2}{5}\)
-1\(\frac{7}{9}\)z + \(\frac{1}{3}\)
11z + 2

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.

2a + 7z = 5a - 4z - 6
2a = 5a - 4z - 6 - 7z
2a - 5a = -4z - 6 - 7z
-3a = -11z - 6
a = \( \frac{-11z - 6}{-3} \)
a = \( \frac{-11z}{-3} \) + \( \frac{-6}{-3} \)
a = 3\(\frac{2}{3}\)z + 2


3

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

82% 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.


4

The dimensions of this cylinder are height (h) = 7 and radius (r) = 9. What is the surface area?

48% Answer Correctly
104π
6π
54π
288π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 7)
sa = 2π(81) + 2π(63)
sa = (2 x 81)π + (2 x 63)π
sa = 162π + 126π
sa = 288π


5

Solve for b:
-9b + 7 = 6 - 5b

58% Answer Correctly
1
\(\frac{1}{4}\)
\(\frac{3}{4}\)
-\(\frac{1}{7}\)

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.

-9b + 7 = 6 - 5b
-9b = 6 - 5b - 7
-9b + 5b = 6 - 7
-4b = -1
b = \( \frac{-1}{-4} \)
b = \(\frac{1}{4}\)