| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
Solve for c:
3c + 7 < -8 - 5c
| c < -7 | |
| c < -2\(\frac{1}{4}\) | |
| c < 5 | |
| c < -1\(\frac{7}{8}\) |
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.
3c + 7 < -8 - 5c
3c < -8 - 5c - 7
3c + 5c < -8 - 7
8c < -15
c < \( \frac{-15}{8} \)
c < -1\(\frac{7}{8}\)
If AD = 21 and BD = 16, AB = ?
| 16 | |
| 6 | |
| 5 | |
| 14 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDSolve for c:
-2c - 8 = \( \frac{c}{9} \)
| -3\(\frac{15}{19}\) | |
| -1\(\frac{2}{3}\) | |
| -\(\frac{54}{55}\) | |
| -1\(\frac{1}{15}\) |
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.
-2c - 8 = \( \frac{c}{9} \)
9 x (-2c - 8) = c
(9 x -2c) + (9 x -8) = c
-18c - 72 = c
-18c - 72 - c = 0
-18c - c = 72
-19c = 72
c = \( \frac{72}{-19} \)
c = -3\(\frac{15}{19}\)
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
|
deconstructing |
|
normalizing |
|
factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
If the base of this triangle is 8 and the height is 3, what is the area?
| 12 | |
| 90 | |
| 32\(\frac{1}{2}\) | |
| 112\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 8 x 3 = \( \frac{24}{2} \) = 12