| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
What is 5a - 6a?
| -1a | |
| 30a | |
| -1 | |
| 11 |
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.
5a - 6a = -1a
The endpoints of this line segment are at (-2, 1) and (2, -9). What is the slope of this line?
| -2 | |
| 1 | |
| -2\(\frac{1}{2}\) | |
| -1 |
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, -9) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-9.0) - (1.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)The dimensions of this cube are height (h) = 3, length (l) = 5, and width (w) = 1. What is the surface area?
| 258 | |
| 192 | |
| 46 | |
| 80 |
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 5 x 1) + (2 x 1 x 3) + (2 x 5 x 3)
sa = (10) + (6) + (30)
sa = 46
If side a = 8, side b = 7, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{113} \) | |
| \( \sqrt{45} \) | |
| \( \sqrt{106} \) | |
| 10 |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 82 + 72
c2 = 64 + 49
c2 = 113
c = \( \sqrt{113} \)
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
pairs |
|
addition |
|
exponents |
|
division |
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.)