| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
Solve for c:
5c - 3 = -2 - 9c
| \(\frac{1}{8}\) | |
| \(\frac{1}{14}\) | |
| -1 | |
| 2\(\frac{1}{2}\) |
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.
5c - 3 = -2 - 9c
5c = -2 - 9c + 3
5c + 9c = -2 + 3
14c = 1
c = \( \frac{1}{14} \)
c = \(\frac{1}{14}\)
Which of the following expressions contains exactly two terms?
polynomial |
|
monomial |
|
binomial |
|
quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
What is 3a + 8a?
| -5 | |
| 24a2 | |
| -5a2 | |
| 11a |
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.
3a + 8a = 11a
The dimensions of this cylinder are height (h) = 1 and radius (r) = 1. What is the surface area?
| 234π | |
| 4π | |
| 14π | |
| 104π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 1)
sa = 2π(1) + 2π(1)
sa = (2 x 1)π + (2 x 1)π
sa = 2π + 2π
sa = 4π
Solve for z:
z2 - 36 = 0
| 4 or -7 | |
| 8 or 3 | |
| 6 or 3 | |
| 6 or -6 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 36 = 0
(z - 6)(z + 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 6) or (z + 6) must equal zero:
If (z - 6) = 0, z must equal 6
If (z + 6) = 0, z must equal -6
So the solution is that z = 6 or -6