ASVAB Math Knowledge Practice Test 793987 Results

Your Results Global Average
Questions 5 5
Correct 0 2.89
Score 0% 58%

Review

1

Solve for b:
b2 - 7b + 6 = 0

58% Answer Correctly
6 or -7
1 or 6
3 or -2
-6 or -7

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

b2 - 7b + 6 = 0
(b - 1)(b - 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 1) or (b - 6) must equal zero:

If (b - 1) = 0, b must equal 1
If (b - 6) = 0, b must equal 6

So the solution is that b = 1 or 6


2

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

42% Answer Correctly

slope

x-intercept

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

y-intercept


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.


3

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

24% Answer Correctly

c = π d

c = π d2

c = π r

c = π r2


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

If AD = 24 and BD = 18, AB = ?

76% Answer Correctly
6
18
16
3

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 24 - 18
AB = 6


5

A right angle measures:

90% Answer Correctly

45°

180°

90°

360°


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.