ASVAB Math Knowledge Practice Test 199256 Results

Your Results Global Average
Questions 5 5
Correct 0 3.26
Score 0% 65%

Review

1

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

42% Answer Correctly

slope

x-intercept

y-intercept

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


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.


2

A coordinate grid is composed of which of the following?

89% Answer Correctly

x-axis

y-axis

origin

all of these


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

The dimensions of this cylinder are height (h) = 9 and radius (r) = 5. What is the surface area?

48% Answer Correctly
140π
196π
120π
72π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 9)
sa = 2π(25) + 2π(45)
sa = (2 x 25)π + (2 x 45)π
sa = 50π + 90π
sa = 140π


4

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

88% Answer Correctly

exponents

addition

division

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

Solve for c:
-6c - 8 > 8 - 2c

55% Answer Correctly
c > -4
c > -\(\frac{1}{2}\)
c > -\(\frac{2}{3}\)
c > -1\(\frac{3}{5}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

-6c - 8 > 8 - 2c
-6c > 8 - 2c + 8
-6c + 2c > 8 + 8
-4c > 16
c > \( \frac{16}{-4} \)
c > -4