| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.56 |
| Score | 0% | 71% |
The dimensions of this cube are height (h) = 8, length (l) = 4, and width (w) = 9. What is the surface area?
| 382 | |
| 144 | |
| 80 | |
| 280 |
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 4 x 9) + (2 x 9 x 8) + (2 x 4 x 8)
sa = (72) + (144) + (64)
sa = 280
Simplify (y - 7)(y + 8)
| 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 - 7)(y + 8)
(y x y) + (y x 8) + (-7 x y) + (-7 x 8)
y2 + 8y - 7y - 56
y2 + y - 56
A right angle measures:
90° |
|
360° |
|
180° |
|
45° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
What is 2a6 + 2a6?
| 0 | |
| 12 | |
| 4a12 | |
| 4a6 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
2a6 + 2a6 = 4a6
A(n) __________ is two expressions separated by an equal sign.
formula |
|
equation |
|
problem |
|
expression |
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.