ASVAB Math Knowledge Practice Test 450396 Results

Your Results Global Average
Questions 5 5
Correct 0 3.21
Score 0% 64%

Review

1

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

47% Answer Correctly

c - a

c2 + a2

c2 - a2

a2 - c2


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


2

Order the following types of angle from least number of degrees to most number of degrees.

74% Answer Correctly

acute, right, obtuse

right, obtuse, acute

right, acute, obtuse

acute, obtuse, right


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


3

What is 2a + 3a?

80% Answer Correctly
5
6a2
5a
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.

2a + 3a = 5a


4

What is 9a4 - 7a4?

73% Answer Correctly
63a8
2
2a4
63a4

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.

9a4 - 7a4 = 2a4


5

Solve for c:
-6c - 7 = \( \frac{c}{-7} \)

46% Answer Correctly
-1\(\frac{8}{41}\)
\(\frac{27}{28}\)
2
\(\frac{12}{17}\)

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.

-6c - 7 = \( \frac{c}{-7} \)
-7 x (-6c - 7) = c
(-7 x -6c) + (-7 x -7) = c
42c + 49 = c
42c + 49 - c = 0
42c - c = -49
41c = -49
c = \( \frac{-49}{41} \)
c = -1\(\frac{8}{41}\)