ASVAB Math Knowledge Practice Test 23083 Results

Your Results Global Average
Questions 5 5
Correct 0 2.67
Score 0% 53%

Review

1

Simplify (4a)(5ab) - (8a2)(3b).

62% Answer Correctly
4ab2
99ab2
44ab2
-4a2b

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.

(4a)(5ab) - (8a2)(3b)
(4 x 5)(a x a x b) - (8 x 3)(a2 x b)
(20)(a1+1 x b) - (24)(a2b)
20a2b - 24a2b
-4a2b


2

The endpoints of this line segment are at (-2, 6) and (2, 0). What is the slope of this line?

46% Answer Correctly
-2
-1\(\frac{1}{2}\)
3
-2\(\frac{1}{2}\)

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 6) and (2, 0) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)
m = -1\(\frac{1}{2}\)


3

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π r

c = π r2

c = π d

c = π d2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


4

What is 8a - 4a?

80% Answer Correctly
12a2
4a
a2
32a2

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.

8a - 4a = 4a


5

If angle a = 56° and angle b = 25° what is the length of angle d?

56% Answer Correctly
125°
124°
134°
129°

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° - 56° - 25° = 99°

So, d° = 25° + 99° = 124°

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° - 56° = 124°