ASVAB Math Knowledge Practice Test 766761 Results

Your Results Global Average
Questions 5 5
Correct 0 3.13
Score 0% 63%

Review

1

Solve for c:
c + 2 = -4 + 4c

59% Answer Correctly
-1
-7
3
2

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 + 2 = -4 + 4c
c = -4 + 4c - 2
c - 4c = -4 - 2
-3c = -6
c = \( \frac{-6}{-3} \)
c = 2


2

If angle a = 36° and angle b = 21° what is the length of angle d?

56% Answer Correctly
158°
144°
124°
112°

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° - 36° - 21° = 123°

So, d° = 21° + 123° = 144°

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° - 36° = 144°


3

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

54% Answer Correctly

π r2h

4π r2

π r2h2

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.


4

What is 9a + 6a?

81% Answer Correctly
3
54a2
a2
15a

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.

9a + 6a = 15a


5

The dimensions of this cylinder are height (h) = 2 and radius (r) = 4. What is the volume?

62% Answer Correctly
32π
200π
81π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(42 x 2)
v = 32π