| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.89 |
| Score | 0% | 58% |
What is 3a - 2a?
| 1a | |
| 6a | |
| 5 | |
| 5a2 |
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.
3a - 2a = 1a
The endpoints of this line segment are at (-2, 10) and (2, -2). What is the slope-intercept equation for this line?
| y = -3x + 4 | |
| y = -x - 3 | |
| y = x + 4 | |
| y = -3x - 1 |
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 4. 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, 10) and (2, -2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (10.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)Plugging these values into the slope-intercept equation:
y = -3x + 4
The dimensions of this cylinder are height (h) = 3 and radius (r) = 3. What is the volume?
| 150π | |
| 27π | |
| 7π | |
| 324π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(32 x 3)
v = 27π
If the base of this triangle is 7 and the height is 3, what is the area?
| 32 | |
| 10\(\frac{1}{2}\) | |
| 91 | |
| 66 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 7 x 3 = \( \frac{21}{2} \) = 10\(\frac{1}{2}\)
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
|
a2 - c2 |
|
c - a |
|
c2 - a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)