ASVAB Math Knowledge Practice Test 783255 Results

Your Results Global Average
Questions 5 5
Correct 0 2.70
Score 0% 54%

Review

1

The endpoints of this line segment are at (-2, 1) and (2, -9). What is the slope-intercept equation for this line?

41% Answer Correctly
y = -2\(\frac{1}{2}\)x - 4
y = -x + 1
y = -3x - 2
y = -\(\frac{1}{2}\)x - 1

Solution

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -4. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 1) and (2, -9) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-9.0) - (1.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)
m = -2\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = -2\(\frac{1}{2}\)x - 4


2

A cylinder with a radius (r) and a height (h) has a surface area of:

53% Answer Correctly

4π r2

2(π r2) + 2π rh

π r2h

π r2h2


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


3

If a = c = 8, b = d = 9, and the blue angle = 67°, what is the area of this parallelogram?

65% Answer Correctly
16
72
42
6

Solution

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 8 x 9
a = 72


4

Which of the following statements about a triangle is not true?

57% Answer Correctly

perimeter = sum of side lengths

exterior angle = sum of two adjacent interior angles

sum of interior angles = 180°

area = ½bh


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


5

Solve for x:
-8x + 9 > 8 + 3x

55% Answer Correctly
x > 1\(\frac{3}{5}\)
x > -1
x > \(\frac{4}{7}\)
x > \(\frac{1}{11}\)

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.

-8x + 9 > 8 + 3x
-8x > 8 + 3x - 9
-8x - 3x > 8 - 9
-11x > -1
x > \( \frac{-1}{-11} \)
x > \(\frac{1}{11}\)