ASVAB Math Knowledge Practice Test 34171 Results

Your Results Global Average
Questions 5 5
Correct 0 2.90
Score 0% 58%

Review

1

Solve for c:
4c - 6 < \( \frac{c}{3} \)

45% Answer Correctly
c < -1\(\frac{1}{26}\)
c < -\(\frac{12}{19}\)
c < 1\(\frac{7}{11}\)
c < 1\(\frac{1}{20}\)

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.

4c - 6 < \( \frac{c}{3} \)
3 x (4c - 6) < c
(3 x 4c) + (3 x -6) < c
12c - 18 < c
12c - 18 - c < 0
12c - c < 18
11c < 18
c < \( \frac{18}{11} \)
c < 1\(\frac{7}{11}\)


2

The dimensions of this cylinder are height (h) = 8 and radius (r) = 4. What is the surface area?

48% Answer Correctly
42π
96π
196π
16π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 8)
sa = 2π(16) + 2π(32)
sa = (2 x 16)π + (2 x 32)π
sa = 32π + 64π
sa = 96π


3

What is 7a6 + 6a6?

76% Answer Correctly
13a6
42a12
1
13a12

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.

7a6 + 6a6 = 13a6


4

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

61% Answer Correctly

supplementary, vertical

acute, obtuse

vertical, supplementary

obtuse, acute


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


5

Solve for y:
2y - 7 = 4 + 9y

60% Answer Correctly
-1\(\frac{4}{7}\)
-1
-1\(\frac{1}{3}\)
-4

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.

2y - 7 = 4 + 9y
2y = 4 + 9y + 7
2y - 9y = 4 + 7
-7y = 11
y = \( \frac{11}{-7} \)
y = -1\(\frac{4}{7}\)