| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
Simplify (y + 8)(y - 7)
| y2 - 15y + 56 | |
| y2 + 15y + 56 | |
| y2 - y - 56 | |
| y2 + y - 56 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 8)(y - 7)
(y x y) + (y x -7) + (8 x y) + (8 x -7)
y2 - 7y + 8y - 56
y2 + y - 56
A coordinate grid is composed of which of the following?
y-axis |
|
x-axis |
|
origin |
|
all of these |
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.
If c = -8 and x = 3, what is the value of -3c(c - x)?
| 144 | |
| -264 | |
| -120 | |
| 216 |
To solve this equation, 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.)
-3c(c - x)
-3(-8)(-8 - 3)
-3(-8)(-11)
(24)(-11)
-264
Factor y2 + 4y - 5
| (y - 1)(y + 5) | |
| (y - 1)(y - 5) | |
| (y + 1)(y + 5) | |
| (y + 1)(y - 5) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -5 as well and sum (Inside, Outside) to equal 4. For this problem, those two numbers are -1 and 5. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 4y - 5
y2 + (-1 + 5)y + (-1 x 5)
(y - 1)(y + 5)
The dimensions of this cube are height (h) = 2, length (l) = 6, and width (w) = 6. What is the surface area?
| 26 | |
| 138 | |
| 120 | |
| 150 |
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 6 x 6) + (2 x 6 x 2) + (2 x 6 x 2)
sa = (72) + (24) + (24)
sa = 120