ASVAB Math Knowledge Practice Test 945598 Results

Your Results Global Average
Questions 5 5
Correct 0 3.69
Score 0% 74%

Review

1

If angle a = 67° and angle b = 44° what is the length of angle d?

56% Answer Correctly
120°
113°
133°
150°

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° - 67° - 44° = 69°

So, d° = 44° + 69° = 113°

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° - 67° = 113°


2

Simplify 3a x 7b.

86% Answer Correctly
21a2b2
21\( \frac{a}{b} \)
21ab
10ab

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

3a x 7b = (3 x 7) (a x b) = 21ab


3

What is 6a + 3a?

81% Answer Correctly
18a2
9
9a
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.

6a + 3a = 9a


4

What is 6a - 8a?

80% Answer Correctly
-2a2
-2
48a
-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.

6a - 8a = -2a


5

If side a = 3, side b = 6, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{10} \)
\( \sqrt{68} \)
\( \sqrt{90} \)
\( \sqrt{45} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 32 + 62
c2 = 9 + 36
c2 = 45
c = \( \sqrt{45} \)