ASVAB Math Knowledge Practice Test 954136 Results

Your Results Global Average
Questions 5 5
Correct 0 3.29
Score 0% 66%

Review

1

A(n) __________ is two expressions separated by an equal sign.

77% Answer Correctly

equation

formula

problem

expression


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to 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.


2

Solve for b:
9b + 8 > -8 - 4b

55% Answer Correctly
b > -\(\frac{2}{7}\)
b > 1\(\frac{1}{7}\)
b > -1\(\frac{1}{2}\)
b > -1\(\frac{3}{13}\)

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 > sign and the answer on the other.

9b + 8 > -8 - 4b
9b > -8 - 4b - 8
9b + 4b > -8 - 8
13b > -16
b > \( \frac{-16}{13} \)
b > -1\(\frac{3}{13}\)


3

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

78% Answer Correctly

a = π r2

a = π d2

a = π r

a = π d


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

Find the value of a:
-8a + z = 1
-2a + 3z = 2

42% Answer Correctly
-\(\frac{1}{37}\)
-\(\frac{5}{6}\)
-\(\frac{1}{22}\)
-\(\frac{3}{5}\)

Solution

You need to find the value of a so solve the first equation in terms of z:

-8a + z = 1
z = 1 + 8a

then substitute the result (1 - -8a) into the second equation:

-2a + 3(1 + 8a) = 2
-2a + (3 x 1) + (3 x 8a) = 2
-2a + 3 + 24a = 2
-2a + 24a = 2 - 3
22a = -1
a = \( \frac{-1}{22} \)
a = -\(\frac{1}{22}\)


5

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

76% Answer Correctly

right, obtuse, acute

acute, right, obtuse

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°.