ASVAB Math Knowledge Practice Test 435343 Results

Your Results Global Average
Questions 5 5
Correct 0 3.42
Score 0% 68%

Review

1

Which of the following statements about math operations is incorrect?

70% Answer Correctly

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

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

you can multiply monomials that have different variables and different exponents

all of these statements are correct
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.

2

What is 3a - 5a?

79% Answer Correctly
8a2
a2
15a
-2a
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.

3a - 5a = -2a

3

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

c - a

a2 - c2

c2 + a2

c2 - a2

Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)

4

If side x = 10cm, side y = 14cm, and side z = 5cm what is the perimeter of this triangle?

84% Answer Correctly
30cm
31cm
23cm
29cm
Solution

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

p = x + y + z
p = 10cm + 14cm + 5cm = 29cm

5

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

62% Answer Correctly
64π
448π
144π
7π
Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(42 x 4)
v = 64π