ASVAB Math Knowledge Practice Test 729334 Results

Your Results Global Average
Questions 5 5
Correct 0 2.94
Score 0% 59%

Review

1

A(n) __________ is two expressions separated by an equal sign.

76% Answer Correctly

equation

expression

formula

problem


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.


2

Which of the following expressions contains exactly two terms?

82% Answer Correctly

quadratic

polynomial

binomial

monomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.


3

The endpoints of this line segment are at (-2, 7) and (2, -3). What is the slope-intercept equation for this line?

41% Answer Correctly
y = 1\(\frac{1}{2}\)x - 1
y = \(\frac{1}{2}\)x + 2
y = -2\(\frac{1}{2}\)x + 2
y = -2\(\frac{1}{2}\)x + 0

Solution

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 2. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 7) and (2, -3) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (7.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)
m = -2\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = -2\(\frac{1}{2}\)x + 2


4

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

41% Answer Correctly

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

y-intercept

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.


5

The dimensions of this cube are height (h) = 5, length (l) = 8, and width (w) = 4. What is the surface area?

51% Answer Correctly
198
180
184
288

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 8 x 4) + (2 x 4 x 5) + (2 x 8 x 5)
sa = (64) + (40) + (80)
sa = 184