| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
Solve for b:
4b + 6 > \( \frac{b}{6} \)
| b > -1\(\frac{7}{41}\) | |
| b > \(\frac{25}{31}\) | |
| b > \(\frac{18}{29}\) | |
| b > -1\(\frac{13}{23}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
4b + 6 > \( \frac{b}{6} \)
6 x (4b + 6) > b
(6 x 4b) + (6 x 6) > b
24b + 36 > b
24b + 36 - b > 0
24b - b > -36
23b > -36
b > \( \frac{-36}{23} \)
b > -1\(\frac{13}{23}\)
The endpoints of this line segment are at (-2, -1) and (2, -7). What is the slope of this line?
| -1\(\frac{1}{2}\) | |
| 2 | |
| -2 | |
| 2\(\frac{1}{2}\) |
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 = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-7.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)What is the area of a circle with a radius of 5?
| 9π | |
| 25π | |
| 16π | |
| 8π |
The formula for area is πr2:
a = πr2
a = π(52)
a = 25π
Solve for x:
2x - 6 > -8 + 5x
| x > \(\frac{2}{3}\) | |
| x > 1\(\frac{1}{3}\) | |
| x > \(\frac{7}{8}\) | |
| x > -4 |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
2x - 6 > -8 + 5x
2x > -8 + 5x + 6
2x - 5x > -8 + 6
-3x > -2
x > \( \frac{-2}{-3} \)
x > \(\frac{2}{3}\)
A(n) __________ is two expressions separated by an equal sign.
equation |
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expression |
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problem |
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formula |
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.