ASVAB Math Knowledge Practice Test 376315 Results

Your Results Global Average
Questions 5 5
Correct 0 2.85
Score 0% 57%

Review

1

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

41% Answer Correctly

y-intercept

x-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.


2

Solve for z:
-8z + 9 > \( \frac{z}{7} \)

44% Answer Correctly
z > 4\(\frac{2}{13}\)
z > 1\(\frac{1}{8}\)
z > -\(\frac{35}{64}\)
z > 1\(\frac{2}{19}\)

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.

-8z + 9 > \( \frac{z}{7} \)
7 x (-8z + 9) > z
(7 x -8z) + (7 x 9) > z
-56z + 63 > z
-56z + 63 - z > 0
-56z - z > -63
-57z > -63
z > \( \frac{-63}{-57} \)
z > 1\(\frac{2}{19}\)


3

A right angle measures:

90% Answer Correctly

360°

180°

90°

45°


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.


4

If a = 4, b = 1, c = 4, and d = 2, what is the perimeter of this quadrilateral?

88% Answer Correctly
24
20
11
25

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 4 + 1 + 4 + 2
p = 11


5

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

24% Answer Correctly

c = π d2

c = π r2

c = π r

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.