ASVAB Math Knowledge Practice Test 17622 Results

Your Results Global Average
Questions 5 5
Correct 0 3.45
Score 0% 69%

Review

1

A coordinate grid is composed of which of the following?

91% 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.


2

What is 7a - 9a?

80% Answer Correctly
16a2
-2
-2a
63a2

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.

7a - 9a = -2a


3

What is the area of a circle with a radius of 2?

70% Answer Correctly
81π

Solution

The formula for area is πr2:

a = πr2
a = π(22)
a = 4π


4

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

42% Answer Correctly

slope

x-intercept

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

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.


5

Simplify (4a)(5ab) - (9a2)(2b).

62% Answer Correctly
-2ab2
2a2b
38ab2
99ab2

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)(5ab) - (9a2)(2b)
(4 x 5)(a x a x b) - (9 x 2)(a2 x b)
(20)(a1+1 x b) - (18)(a2b)
20a2b - 18a2b
2a2b