| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.92 |
| Score | 0% | 58% |
Solve 5c - 7c = -3c + 8z + 2 for c in terms of z.
| 1\(\frac{7}{8}\)z + \(\frac{1}{4}\) | |
| 2\(\frac{1}{4}\)z + 2\(\frac{1}{4}\) | |
| -z + 3 | |
| -\(\frac{1}{9}\)z - \(\frac{4}{9}\) |
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.
5c - 7z = -3c + 8z + 2
5c = -3c + 8z + 2 + 7z
5c + 3c = 8z + 2 + 7z
8c = 15z + 2
c = \( \frac{15z + 2}{8} \)
c = \( \frac{15z}{8} \) + \( \frac{2}{8} \)
c = 1\(\frac{7}{8}\)z + \(\frac{1}{4}\)
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
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factoring |
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deconstructing |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Simplify (y + 5)(y + 9)
| y2 - 14y + 45 | |
| y2 + 14y + 45 | |
| y2 - 4y - 45 | |
| y2 + 4y - 45 |
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 + 5)(y + 9)
(y x y) + (y x 9) + (5 x y) + (5 x 9)
y2 + 9y + 5y + 45
y2 + 14y + 45
The dimensions of this cylinder are height (h) = 5 and radius (r) = 5. What is the surface area?
| 272π | |
| 168π | |
| 100π | |
| 32π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 5)
sa = 2π(25) + 2π(25)
sa = (2 x 25)π + (2 x 25)π
sa = 50π + 50π
sa = 100π
If angle a = 59° and angle b = 67° what is the length of angle c?
| 64° | |
| 54° | |
| 71° | |
| 61° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 59° - 67° = 54°