| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.79 |
| Score | 0% | 56% |
What is 4a5 - 4a5?
| 0a5 | |
| 10 | |
| 8a10 | |
| 16a10 |
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.
4a5 - 4a5 = 0a5
If a = c = 8, b = d = 4, what is the area of this rectangle?
| 32 | |
| 10 | |
| 72 | |
| 14 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 8 x 4
a = 32
The formula for the area of a circle is which of the following?
c = π d |
|
c = π r2 |
|
c = π r |
|
c = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
|
obtuse, acute |
|
acute, obtuse |
|
supplementary, vertical |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
The endpoints of this line segment are at (-2, 5) and (2, 1). What is the slope-intercept equation for this line?
| y = 2\(\frac{1}{2}\)x - 4 | |
| y = 2x - 3 | |
| y = -3x + 3 | |
| y = -x + 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, 5) and (2, 1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (5.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)Plugging these values into the slope-intercept equation:
y = -x + 3