ASVAB Math Knowledge Practice Test 819413 Results

Your Results Global Average
Questions 5 5
Correct 0 3.39
Score 0% 68%

Review

1

If a = 4, b = 7, c = 7, and d = 9, what is the perimeter of this quadrilateral?

88% Answer Correctly
27
16
9
17

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 4 + 7 + 7 + 9
p = 27


2

A coordinate grid is composed of which of the following?

88% Answer Correctly

all of these

y-axis

origin

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.


3

Simplify (4a)(4ab) + (3a2)(3b).

65% Answer Correctly
7ab2
25a2b
-7a2b
25ab2

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(4a)(4ab) + (3a2)(3b)
(4 x 4)(a x a x b) + (3 x 3)(a2 x b)
(16)(a1+1 x b) + (9)(a2b)
16a2b + 9a2b
25a2b


4

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

57% Answer Correctly

perimeter = sum of side lengths

sum of interior angles = 180°

exterior angle = sum of two adjacent interior angles

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

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

42% Answer Correctly

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

x-intercept

slope

y-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.