ASVAB Math Knowledge Practice Test 88190 Results

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

Review

1

On this circle, line segment AB is the:

71% Answer Correctly

circumference

diameter

radius

chord


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


2

What is the area of a circle with a radius of 5?

70% Answer Correctly
49π
81π
25π

Solution

The formula for area is πr2:

a = πr2
a = π(52)
a = 25π


3

Simplify (8a)(9ab) + (5a2)(7b).

65% Answer Correctly
107a2b
-37ab2
204ab2
204a2b

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.

(8a)(9ab) + (5a2)(7b)
(8 x 9)(a x a x b) + (5 x 7)(a2 x b)
(72)(a1+1 x b) + (35)(a2b)
72a2b + 35a2b
107a2b


4

Find the value of c:
-9c + y = -1
-4c - 4y = 2

42% Answer Correctly
\(\frac{4}{5}\)
\(\frac{1}{20}\)
1\(\frac{7}{26}\)
1\(\frac{36}{41}\)

Solution

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

-9c + y = -1
y = -1 + 9c

then substitute the result (-1 - -9c) into the second equation:

-4c - 4(-1 + 9c) = 2
-4c + (-4 x -1) + (-4 x 9c) = 2
-4c + 4 - 36c = 2
-4c - 36c = 2 - 4
-40c = -2
c = \( \frac{-2}{-40} \)
c = \(\frac{1}{20}\)


5

Simplify (9a)(9ab) - (4a2)(8b).

62% Answer Correctly
113a2b
-49ab2
49a2b
216a2b

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)(9ab) - (4a2)(8b)
(9 x 9)(a x a x b) - (4 x 8)(a2 x b)
(81)(a1+1 x b) - (32)(a2b)
81a2b - 32a2b
49a2b