| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
A(n) __________ is two expressions separated by an equal sign.
problem |
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equation |
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formula |
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expression |
An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
This diagram represents two parallel lines with a transversal. If a° = 16, what is the value of x°?
| 39 | |
| 164 | |
| 152 | |
| 149 |
For parallel lines with a transversal, the following relationships apply:
Applying these relationships starting with a° = 16, the value of x° is 164.
What is 5a7 - 9a7?
| 45a14 | |
| 14 | |
| -4a7 | |
| -4a14 |
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.
5a7 - 9a7 = -4a7
What is the area of a circle with a diameter of 4?
| 4π | |
| 5π | |
| 49π | |
| 16π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{4}{2} \)
r = 2
a = πr2
a = π(22)
a = 4π
The endpoints of this line segment are at (-2, 1) and (2, 7). What is the slope of this line?
| 1\(\frac{1}{2}\) | |
| -1\(\frac{1}{2}\) | |
| 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, 7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(7.0) - (1.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)