ASVAB Math Knowledge Practice Test 123381 Results

Your Results Global Average
Questions 5 5
Correct 0 2.95
Score 0% 59%

Review

1

Which of the following expressions contains exactly two terms?

83% Answer Correctly

polynomial

binomial

monomial

quadratic


Solution

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


2

Solve for y:
y2 - 16y + 67 = y - 5

49% Answer Correctly
-1 or -2
8 or 9
8 or 4
4 or -8

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

y2 - 16y + 67 = y - 5
y2 - 16y + 67 + 5 = y
y2 - 16y - y + 72 = 0
y2 - 17y + 72 = 0

Next, factor the quadratic equation:

y2 - 17y + 72 = 0
(y - 8)(y - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 8) or (y - 9) must equal zero:

If (y - 8) = 0, y must equal 8
If (y - 9) = 0, y must equal 9

So the solution is that y = 8 or 9


3

The dimensions of this cube are height (h) = 4, length (l) = 2, and width (w) = 8. What is the surface area?

51% Answer Correctly
112
168
416
266

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 2 x 8) + (2 x 8 x 4) + (2 x 2 x 4)
sa = (32) + (64) + (16)
sa = 112


4

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

42% Answer Correctly

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

y-intercept

x-intercept

slope


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 formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

68% Answer Correctly

h2 x l2 x w2

lw x wh + lh

h x l x w

2lw x 2wh + 2lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.