ASVAB Math Knowledge Practice Test 896307 Results

Your Results Global Average
Questions 5 5
Correct 0 2.82
Score 0% 56%

Review

1

What is 8a3 - 2a3?

73% Answer Correctly
10
10a6
a36
6a3

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.

8a3 - 2a3 = 6a3


2

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

42% Answer Correctly

y-intercept

\({\Delta y \over \Delta x}\)

slope

x-intercept


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.


3

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

49% Answer Correctly

the perimeter of a parallelogram is the sum of the lengths of all sides

opposite sides and adjacent angles are equal

the area of a parallelogram is base x height

a parallelogram is a quadrilateral


Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).


4

If a = c = 4, b = d = 7, and the blue angle = 80°, what is the area of this parallelogram?

65% Answer Correctly
21
28
8
36

Solution

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

a = l x w
a = a x b
a = 4 x 7
a = 28


5

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

54% Answer Correctly

isosceles and right

equilateral, isosceles and right

equilateral and right

equilateral and isosceles


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.