| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.41 |
| Score | 0% | 68% |
What is 2a + 7a?
| a2 | |
| 14a2 | |
| -5 | |
| 9a |
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.
2a + 7a = 9a
The endpoints of this line segment are at (-2, 1) and (2, -7). What is the slope-intercept equation for this line?
| y = x - 3 | |
| y = -2x - 3 | |
| y = 2x - 3 | |
| y = -3x + 4 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -3. 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, -7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-7.0) - (1.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)Plugging these values into the slope-intercept equation:
y = -2x - 3
A right angle measures:
180° |
|
360° |
|
90° |
|
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.
If AD = 24 and BD = 16, AB = ?
| 2 | |
| 15 | |
| 17 | |
| 8 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDThe dimensions of this cube are height (h) = 7, length (l) = 9, and width (w) = 9. What is the surface area?
| 52 | |
| 168 | |
| 414 | |
| 148 |
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 9) + (2 x 9 x 7) + (2 x 9 x 7)
sa = (162) + (126) + (126)
sa = 414