ASVAB Math Knowledge Practice Test 945 Results

Your Results Global Average
Questions 5 5
Correct 0 3.54
Score 0% 71%

Review

1

What is 8a9 - 3a9?

74% Answer Correctly
5a9
11
5a18
a918

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.

8a9 - 3a9 = 5a9


2

What is the circumference of a circle with a radius of 4?

71% Answer Correctly
28π
12π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 4)
c = 8π


3

If side x = 12cm, side y = 14cm, and side z = 10cm what is the perimeter of this triangle?

85% Answer Correctly
43cm
36cm
28cm
32cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 12cm + 14cm + 10cm = 36cm


4

Which of the following statements about math operations is incorrect?

71% Answer Correctly

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

all of these statements are correct

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

you can multiply monomials that have different variables and different exponents


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.


5

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

54% Answer Correctly

2(π r2) + 2π rh

π r2h

4π r2

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.