ASVAB Math Knowledge Practice Test 693125 Results

Your Results Global Average
Questions 5 5
Correct 0 3.17
Score 0% 63%

Review

1

A coordinate grid is composed of which of the following?

92% Answer Correctly

y-axis

origin

all of these

x-axis
Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.

2

The endpoints of this line segment are at (-2, 1) and (2, -7). What is the slope of this line?

46% Answer Correctly
-2
\(\frac{1}{2}\)
1\(\frac{1}{2}\)
1
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, 1) and (2, -7) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-7.0) - (1.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)
m = -2

3

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

55% Answer Correctly

equilateral and right

equilateral and isosceles

isosceles 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.

4

Which of the following statements about math operations is incorrect?

71% Answer Correctly

you can multiply monomials that have different variables and different exponents

you can add monomials that have the same variable and the same exponent

all of these statements are correct

you can subtract monomials that have the same variable and the same exponent
Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.

5

The dimensions of this trapezoid are a = 6, b = 6, c = 8, d = 4, and h = 5. What is the area?

51% Answer Correctly
25
6
18
20
Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(6 + 4)(5)
a = ½(10)(5)
a = ½(50) = \( \frac{50}{2} \)
a = 25