| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
Which of the following expressions contains exactly two terms?
monomial |
|
quadratic |
|
binomial |
|
polynomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Solve for c:
3c + 9 = \( \frac{c}{-2} \)
| \(\frac{4}{21}\) | |
| \(\frac{24}{25}\) | |
| -2\(\frac{4}{7}\) | |
| 1\(\frac{1}{5}\) |
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 equal sign and the answer on the other.
3c + 9 = \( \frac{c}{-2} \)
-2 x (3c + 9) = c
(-2 x 3c) + (-2 x 9) = c
-6c - 18 = c
-6c - 18 - c = 0
-6c - c = 18
-7c = 18
c = \( \frac{18}{-7} \)
c = -2\(\frac{4}{7}\)
Solve for a:
-7a + 3 < -5 + 3a
| a < -\(\frac{5}{6}\) | |
| a < -9 | |
| a < \(\frac{4}{5}\) | |
| a < 8 |
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.
-7a + 3 < -5 + 3a
-7a < -5 + 3a - 3
-7a - 3a < -5 - 3
-10a < -8
a < \( \frac{-8}{-10} \)
a < \(\frac{4}{5}\)
What is the area of a circle with a diameter of 8?
| 4π | |
| 81π | |
| 64π | |
| 16π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr2
a = π(42)
a = 16π
What is 5a3 + 5a3?
| 25a6 | |
| 10a6 | |
| 10a3 | |
| 0 |
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.
5a3 + 5a3 = 10a3