ASVAB Math Knowledge Practice Test 530385 Results

Your Results Global Average
Questions 5 5
Correct 0 2.63
Score 0% 53%

Review

1

Which types of triangles will always have at least two sides of equal length?

53% Answer Correctly

isosceles and right

equilateral and isosceles

equilateral and right

equilateral, isosceles and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


2

If the base of this triangle is 6 and the height is 6, what is the area?

58% Answer Correctly
39
48
24
18

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 6 x 6 = \( \frac{36}{2} \) = 18


3

What is 7a6 + 8a6?

75% Answer Correctly
56a6
-a12
a612
15a6

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 + 8a6 = 15a6


4

Solve -4b + 7b = -2b - 8x + 8 for b in terms of x.

34% Answer Correctly
7\(\frac{1}{2}\)x - 4
2x - 1\(\frac{1}{2}\)
1\(\frac{1}{2}\)x - \(\frac{1}{2}\)
\(\frac{2}{9}\)x + \(\frac{2}{3}\)

Solution

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

-4b + 7x = -2b - 8x + 8
-4b = -2b - 8x + 8 - 7x
-4b + 2b = -8x + 8 - 7x
-2b = -15x + 8
b = \( \frac{-15x + 8}{-2} \)
b = \( \frac{-15x}{-2} \) + \( \frac{8}{-2} \)
b = 7\(\frac{1}{2}\)x - 4


5

The endpoints of this line segment are at (-2, -4) and (2, 2). What is the slope-intercept equation for this line?

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

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 -1. 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, -4) and (2, 2) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)
m = 1\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

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