ASVAB Math Knowledge Practice Test 878753 Results

Your Results Global Average
Questions 5 5
Correct 0 3.56
Score 0% 71%

Review

1

What is 4a - 3a?

80% Answer Correctly
12a
1a
12a2
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.

4a - 3a = 1a


2

If a = c = 2, b = d = 9, what is the area of this rectangle?

80% Answer Correctly
45
18
56
20

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 2 x 9
a = 18


3

What is the area of a circle with a radius of 3?

70% Answer Correctly
36π

Solution

The formula for area is πr2:

a = πr2
a = π(32)
a = 9π


4

If angle a = 29° and angle b = 66° what is the length of angle d?

56% Answer Correctly
157°
140°
151°
135°

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° - 29° - 66° = 85°

So, d° = 66° + 85° = 151°

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° - 29° = 151°


5

Which of the following statements about math operations is incorrect?

71% Answer Correctly

all of these statements are correct

you can multiply monomials that have different variables and different exponents

you can add monomials that have the same variable and the same exponent

you can subtract monomials that have the same variable and the same exponent


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.