ASVAB Math Knowledge Practice Test 325069 Results

Your Results Global Average
Questions 5 5
Correct 0 2.65
Score 0% 53%

Review

1

If angle a = 20° and angle b = 32° what is the length of angle c?

71% Answer Correctly
50°
128°
88°
98°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 20° - 32° = 128°


2

Solve for a:
4a + 4 > 8 - 4a

55% Answer Correctly
a > -2\(\frac{1}{2}\)
a > \(\frac{1}{2}\)
a > 1
a > -\(\frac{3}{8}\)

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.

4a + 4 > 8 - 4a
4a > 8 - 4a - 4
4a + 4a > 8 - 4
8a > 4
a > \( \frac{4}{8} \)
a > \(\frac{1}{2}\)


3

What is 7a6 - 4a6?

74% Answer Correctly
3
3a12
11
3a6

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.

7a6 - 4a6 = 3a6


4

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

42% Answer Correctly

slope

y-intercept

x-intercept

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


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

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

24% Answer Correctly

c = π d2

c = π r

c = π r2

c = 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.