| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
What is 8a2 + 3a2?
| 5a4 | |
| 11a2 | |
| 11a4 | |
| a24 |
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.
8a2 + 3a2 = 11a2
The dimensions of this cylinder are height (h) = 5 and radius (r) = 6. What is the volume?
| 180π | |
| 49π | |
| 20π | |
| 150π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(62 x 5)
v = 180π
If angle a = 52° and angle b = 44° what is the length of angle c?
| 84° | |
| 61° | |
| 54° | |
| 60° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 52° - 44° = 84°
If a = c = 7, b = d = 8, what is the area of this rectangle?
| 45 | |
| 56 | |
| 7 | |
| 27 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 7 x 8
a = 56
The endpoints of this line segment are at (-2, 9) and (2, -3). What is the slope-intercept equation for this line?
| y = -\(\frac{1}{2}\)x - 3 | |
| y = 3x - 1 | |
| y = -3x + 3 | |
| y = 3x + 3 |
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, 9) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (9.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)Plugging these values into the slope-intercept equation:
y = -3x + 3