ASVAB Math Knowledge Practice Test 933020 Results

Your Results Global Average
Questions 5 5
Correct 0 3.38
Score 0% 68%

Review

1

What is 9a - 9a?

79% Answer Correctly
81a2
2
0a
81a

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.

9a - 9a = 0a


2

The dimensions of this cylinder are height (h) = 9 and radius (r) = 4. What is the volume?

62% Answer Correctly
144π
12π
36π
45π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(42 x 9)
v = 144π


3

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

42% Answer Correctly

slope

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

x-intercept

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.


4

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

88% Answer Correctly

division

addition

exponents

pairs


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)


5

Simplify (6a)(9ab) + (5a2)(7b).

65% Answer Correctly
19a2b
89a2b
19ab2
89ab2

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.

(6a)(9ab) + (5a2)(7b)
(6 x 9)(a x a x b) + (5 x 7)(a2 x b)
(54)(a1+1 x b) + (35)(a2b)
54a2b + 35a2b
89a2b