| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
The dimensions of this cube are height (h) = 8, length (l) = 9, and width (w) = 6. What is the surface area?
| 114 | |
| 136 | |
| 318 | |
| 348 |
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 9 x 6) + (2 x 6 x 8) + (2 x 9 x 8)
sa = (108) + (96) + (144)
sa = 348
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
addition |
|
exponents |
|
division |
|
pairs |
When solving an equation with two variables, 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.)
If side a = 9, side b = 1, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{90} \) | |
| \( \sqrt{82} \) | |
| \( \sqrt{130} \) | |
| \( \sqrt{72} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 12
c2 = 81 + 1
c2 = 82
c = \( \sqrt{82} \)
The endpoints of this line segment are at (-2, 1) and (2, 3). What is the slope of this line?
| 3 | |
| -\(\frac{1}{2}\) | |
| 2 | |
| \(\frac{1}{2}\) |
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, 1) and (2, 3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (1.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)What is 4a - 9a?
| 36a | |
| 13 | |
| -5a | |
| a2 |
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.
4a - 9a = -5a