ASVAB Math Knowledge Practice Test 615000 Results

Your Results Global Average
Questions 5 5
Correct 0 3.12
Score 0% 62%

Review

1

Simplify (9a)(4ab) - (5a2)(4b).

63% Answer Correctly
117a2b
16a2b
-16ab2
117ab2

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.

(9a)(4ab) - (5a2)(4b)
(9 x 4)(a x a x b) - (5 x 4)(a2 x b)
(36)(a1+1 x b) - (20)(a2b)
36a2b - 20a2b
16a2b


2

What is the area of a circle with a diameter of 8?

70% Answer Correctly
16π
81π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr2
a = π(42)
a = 16π


3

Find the value of c:
-9c + y = -7
-8c - 4y = 3

42% Answer Correctly
1\(\frac{4}{5}\)
1\(\frac{2}{7}\)
\(\frac{25}{44}\)
1\(\frac{2}{5}\)

Solution

You need to find the value of c so solve the first equation in terms of y:

-9c + y = -7
y = -7 + 9c

then substitute the result (-7 - -9c) into the second equation:

-8c - 4(-7 + 9c) = 3
-8c + (-4 x -7) + (-4 x 9c) = 3
-8c + 28 - 36c = 3
-8c - 36c = 3 - 28
-44c = -25
c = \( \frac{-25}{-44} \)
c = \(\frac{25}{44}\)


4

The endpoints of this line segment are at (-2, 3) and (2, -3). What is the slope of this line?

46% Answer Correctly
1\(\frac{1}{2}\)
-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, 3) and (2, -3) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)
m = -1\(\frac{1}{2}\)


5

A right angle measures:

91% Answer Correctly

90°

360°

45°

180°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.