| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.95 |
| Score | 0% | 59% |
Solve -4c - 2c = 5c - 3z - 2 for c in terms of z.
| 1\(\frac{1}{8}\)z + 1\(\frac{1}{8}\) | |
| -1\(\frac{3}{4}\)z + \(\frac{1}{2}\) | |
| \(\frac{9}{14}\)z + \(\frac{9}{14}\) | |
| \(\frac{1}{9}\)z + \(\frac{2}{9}\) |
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.
-4c - 2z = 5c - 3z - 2
-4c = 5c - 3z - 2 + 2z
-4c - 5c = -3z - 2 + 2z
-9c = -z - 2
c = \( \frac{-z - 2}{-9} \)
c = \( \frac{-z}{-9} \) + \( \frac{-2}{-9} \)
c = \(\frac{1}{9}\)z + \(\frac{2}{9}\)
If the base of this triangle is 4 and the height is 7, what is the area?
| 14 | |
| 58\(\frac{1}{2}\) | |
| 24\(\frac{1}{2}\) | |
| 82\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 4 x 7 = \( \frac{28}{2} \) = 14
Simplify (y - 6)(y + 4)
| y2 - 10y + 24 | |
| y2 + 10y + 24 | |
| y2 + 2y - 24 | |
| y2 - 2y - 24 |
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 - 6)(y + 4)
(y x y) + (y x 4) + (-6 x y) + (-6 x 4)
y2 + 4y - 6y - 24
y2 - 2y - 24
What is 3a - 3a?
| 2 | |
| 0a | |
| 6 | |
| 9a2 |
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 - 3a = 0a
Solve for b:
b2 - 2b - 48 = 0
| 4 or -6 | |
| -1 or -6 | |
| 7 or -2 | |
| -6 or 8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 - 2b - 48 = 0
(b + 6)(b - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 6) or (b - 8) must equal zero:
If (b + 6) = 0, b must equal -6
If (b - 8) = 0, b must equal 8
So the solution is that b = -6 or 8