ASVAB Math Knowledge Practice Test 735203 Results

Your Results Global Average
Questions 5 5
Correct 0 3.14
Score 0% 63%

Review

1

What is 8a3 - 6a3?

74% Answer Correctly
48a3
2a3
2a6
2

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.

8a3 - 6a3 = 2a3


2

What is 5a6 + 2a6?

76% Answer Correctly
7
a612
3a12
7a6

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.

5a6 + 2a6 = 7a6


3

Which of the following statements about a triangle is not true?

58% Answer Correctly

area = ½bh

sum of interior angles = 180°

exterior angle = sum of two adjacent interior angles

perimeter = sum of side lengths


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


4

If the base of this triangle is 9 and the height is 3, what is the area?

59% Answer Correctly
13\(\frac{1}{2}\)
82\(\frac{1}{2}\)
55
54

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 9 x 3 = \( \frac{27}{2} \) = 13\(\frac{1}{2}\)


5

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

47% Answer Correctly

c2 - a2

c2 + a2

a2 - c2

c - a


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, \(c = \sqrt{a + b}\)