| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
Solve for y:
-3y + 5 > \( \frac{y}{-6} \)
| y > -\(\frac{28}{29}\) | |
| y > \(\frac{18}{19}\) | |
| y > 1\(\frac{13}{17}\) | |
| y > 1\(\frac{13}{36}\) |
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.
-3y + 5 > \( \frac{y}{-6} \)
-6 x (-3y + 5) > y
(-6 x -3y) + (-6 x 5) > y
18y - 30 > y
18y - 30 - y > 0
18y - y > 30
17y > 30
y > \( \frac{30}{17} \)
y > 1\(\frac{13}{17}\)
What is 2a + 2a?
| 4 | |
| 0 | |
| 4a | |
| a2 |
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.
2a + 2a = 4a
Solve for y:
-5y + 7 < 6 - 2y
| y < \(\frac{2}{3}\) | |
| y < 1\(\frac{1}{3}\) | |
| y < -4 | |
| y < \(\frac{1}{3}\) |
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.
-5y + 7 < 6 - 2y
-5y < 6 - 2y - 7
-5y + 2y < 6 - 7
-3y < -1
y < \( \frac{-1}{-3} \)
y < \(\frac{1}{3}\)
Simplify (y + 7)(y + 7)
| y2 - 49 | |
| y2 - 14y + 49 | |
| 80 | |
| y2 + 14y + 49 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 7)(y + 7)
(y x y) + (y x 7) + (7 x y) + (7 x 7)
y2 + 7y + 7y + 49
y2 + 14y + 49
What is the area of a circle with a radius of 4?
| 8π | |
| 16π | |
| 6π | |
| 49π |
The formula for area is πr2:
a = πr2
a = π(42)
a = 16π