ASVAB Math Knowledge Practice Test 388937 Results

Your Results Global Average
Questions 5 5
Correct 0 2.13
Score 0% 43%

Review

1

The endpoints of this line segment are at (-2, 7) and (2, -3). What is the slope of this line?

46% Answer Correctly
-2\(\frac{1}{2}\)
2
-1
-2

Solution

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, 7) and (2, -3) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (7.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)
m = -2\(\frac{1}{2}\)


2

Find the value of c:
c + x = -2
-4c + 2x = 7

42% Answer Correctly
\(\frac{33}{34}\)
-4\(\frac{8}{9}\)
4\(\frac{1}{8}\)
-1\(\frac{5}{6}\)

Solution

You need to find the value of c so solve the first equation in terms of x:

c + x = -2
x = -2 - c

then substitute the result (-2 - 1c) into the second equation:

-4c + 2(-2 - c) = 7
-4c + (2 x -2) + (2 x -c) = 7
-4c - 4 - 2c = 7
-4c - 2c = 7 + 4
-6c = 11
c = \( \frac{11}{-6} \)
c = -1\(\frac{5}{6}\)


3

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

24% Answer Correctly

c = π d

c = π r2

c = π d2

c = π r


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

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

57% Answer Correctly

area = ½bh

sum of interior angles = 180°

exterior angle = sum of two adjacent interior angles

perimeter = sum of side lengths


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 y:
9y - 5 < \( \frac{y}{1} \)

44% Answer Correctly
y < \(\frac{9}{37}\)
y < 1\(\frac{8}{19}\)
y < \(\frac{5}{8}\)
y < -\(\frac{7}{9}\)

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.

9y - 5 < \( \frac{y}{1} \)
1 x (9y - 5) < y
(1 x 9y) + (1 x -5) < y
9y - 5 < y
9y - 5 - y < 0
9y - y < 5
8y < 5
y < \( \frac{5}{8} \)
y < \(\frac{5}{8}\)