ASVAB Math Knowledge Practice Test 284111 Results

Your Results Global Average
Questions 5 5
Correct 0 3.04
Score 0% 61%

Review

1

Solve for c:
6c + 3 > 2 - 6c

54% Answer Correctly
c > -2\(\frac{1}{4}\)
c > -1
c > -\(\frac{1}{12}\)
c > -1\(\frac{1}{5}\)

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.

6c + 3 > 2 - 6c
6c > 2 - 6c - 3
6c + 6c > 2 - 3
12c > -1
c > \( \frac{-1}{12} \)
c > -\(\frac{1}{12}\)


2

Solve for x:
9x + 5 = \( \frac{x}{-3} \)

46% Answer Correctly
\(\frac{6}{23}\)
-1\(\frac{8}{41}\)
-\(\frac{15}{28}\)
-\(\frac{16}{31}\)

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.

9x + 5 = \( \frac{x}{-3} \)
-3 x (9x + 5) = x
(-3 x 9x) + (-3 x 5) = x
-27x - 15 = x
-27x - 15 - x = 0
-27x - x = 15
-28x = 15
x = \( \frac{15}{-28} \)
x = -\(\frac{15}{28}\)


3

If angle a = 35° and angle b = 68° what is the length of angle d?

56% Answer Correctly
145°
128°
127°
124°

Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 35° - 68° = 77°

So, d° = 68° + 77° = 145°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 35° = 145°


4

What is 2a - 8a?

79% Answer Correctly
-6a2
16a
-6a
-6

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.

2a - 8a = -6a


5

A trapezoid is a quadrilateral with one set of __________ sides.

69% Answer Correctly

equal angle

right angle

equal length

parallel


Solution

A trapezoid is a quadrilateral with one set of parallel sides.