ASVAB Math Knowledge Practice Test 732413 Results

Your Results Global Average
Questions 5 5
Correct 0 3.05
Score 0% 61%

Review

1

Solve for a:
9a - 9 > \( \frac{a}{6} \)

44% Answer Correctly
a > -\(\frac{4}{7}\)
a > 3\(\frac{1}{9}\)
a > -\(\frac{35}{41}\)
a > 1\(\frac{1}{53}\)

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.

9a - 9 > \( \frac{a}{6} \)
6 x (9a - 9) > a
(6 x 9a) + (6 x -9) > a
54a - 54 > a
54a - 54 - a > 0
54a - a > 54
53a > 54
a > \( \frac{54}{53} \)
a > 1\(\frac{1}{53}\)


2

What is 5a - 8a?

80% Answer Correctly
13
a2
-3a2
-3a

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.

5a - 8a = -3a


3

What is the area of a circle with a radius of 3?

69% Answer Correctly
25π

Solution

The formula for area is πr2:

a = πr2
a = π(32)
a = 9π


4

Which of the following is not required to define the slope-intercept equation for a line?

42% Answer Correctly

x-intercept

y-intercept

slope

\({\Delta y \over \Delta x}\)


Solution

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.


5

What is the circumference of a circle with a diameter of 16?

71% Answer Correctly
16π
30π
14π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 16π