| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
Solve for b:
9b - 1 < 8 - 2b
| b < \(\frac{3}{8}\) | |
| b < 1\(\frac{2}{3}\) | |
| b < \(\frac{9}{11}\) | |
| b < \(\frac{2}{3}\) |
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.
9b - 1 < 8 - 2b
9b < 8 - 2b + 1
9b + 2b < 8 + 1
11b < 9
b < \( \frac{9}{11} \)
b < \(\frac{9}{11}\)
Simplify (y - 4)(y + 8)
| y2 - 4y - 32 | |
| y2 + 4y - 32 | |
| y2 - 12y + 32 | |
| y2 + 12y + 32 |
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 - 4)(y + 8)
(y x y) + (y x 8) + (-4 x y) + (-4 x 8)
y2 + 8y - 4y - 32
y2 + 4y - 32
Solve -2c - 9c = -7c - y - 4 for c in terms of y.
| 1\(\frac{3}{5}\)y - \(\frac{4}{5}\) | |
| -2y - 1\(\frac{3}{4}\) | |
| 5y - \(\frac{1}{2}\) | |
| 2y - 9 |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
-2c - 9y = -7c - y - 4
-2c = -7c - y - 4 + 9y
-2c + 7c = -y - 4 + 9y
5c = 8y - 4
c = \( \frac{8y - 4}{5} \)
c = \( \frac{8y}{5} \) + \( \frac{-4}{5} \)
c = 1\(\frac{3}{5}\)y - \(\frac{4}{5}\)
Which of the following expressions contains exactly two terms?
binomial |
|
quadratic |
|
monomial |
|
polynomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
If angle a = 39° and angle b = 40° what is the length of angle c?
| 84° | |
| 76° | |
| 96° | |
| 101° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 39° - 40° = 101°