ASVAB Math Knowledge Practice Test 602850 Results

Your Results Global Average
Questions 5 5
Correct 0 2.87
Score 0% 57%

Review

1

Solve for c:
c - 4 = \( \frac{c}{4} \)

46% Answer Correctly
-4\(\frac{4}{9}\)
-\(\frac{21}{25}\)
5\(\frac{1}{3}\)
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 equal sign and the answer on the other.

c - 4 = \( \frac{c}{4} \)
4 x (c - 4) = c
(4 x c) + (4 x -4) = c
4c - 16 = c
4c - 16 - c = 0
4c - c = 16
3c = 16
c = \( \frac{16}{3} \)
c = 5\(\frac{1}{3}\)


2

What is 6a + 3a?

80% Answer Correctly
9
3a2
9a
a2

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.

6a + 3a = 9a


3

The dimensions of this cube are height (h) = 3, length (l) = 8, and width (w) = 1. What is the surface area?

51% Answer Correctly
348
78
100
70

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 8 x 1) + (2 x 1 x 3) + (2 x 8 x 3)
sa = (16) + (6) + (48)
sa = 70


4

If angle a = 28° and angle b = 32° what is the length of angle d?

56% Answer Correctly
152°
134°
139°
137°

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° - 28° - 32° = 120°

So, d° = 32° + 120° = 152°

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° - 28° = 152°


5

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

52% Answer Correctly

2(π r2) + 2π rh

4π r2

π r2h

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.