| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.95 |
| Score | 0% | 59% |
Which of the following expressions contains exactly two terms?
polynomial |
|
binomial |
|
monomial |
|
quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Solve for y:
y2 - 16y + 67 = y - 5
| -1 or -2 | |
| 8 or 9 | |
| 8 or 4 | |
| 4 or -8 |
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
The dimensions of this cube are height (h) = 4, length (l) = 2, and width (w) = 8. What is the surface area?
| 112 | |
| 168 | |
| 416 | |
| 266 |
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
Which of the following is not required to define the slope-intercept equation for a line?
\({\Delta y \over \Delta x}\) |
|
y-intercept |
|
x-intercept |
|
slope |
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.
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
|
lw x wh + lh |
|
h x l x w |
|
2lw x 2wh + 2lh |
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.