| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.58 |
| Score | 0% | 52% |
Solve for c:
3c - 7 < \( \frac{c}{5} \)
| c < 2\(\frac{1}{4}\) | |
| c < 2\(\frac{1}{2}\) | |
| c < \(\frac{9}{11}\) | |
| c < \(\frac{15}{29}\) |
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 < \( \frac{c}{5} \)
5 x (3c - 7) < c
(5 x 3c) + (5 x -7) < c
15c - 35 < c
15c - 35 - c < 0
15c - c < 35
14c < 35
c < \( \frac{35}{14} \)
c < 2\(\frac{1}{2}\)
Solve 8c - c = 3c + 8y + 9 for c in terms of y.
| 10y - 7 | |
| 1\(\frac{4}{5}\)y + 1\(\frac{4}{5}\) | |
| y - 4 | |
| \(\frac{5}{9}\)y + \(\frac{8}{9}\) |
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.
8c - y = 3c + 8y + 9
8c = 3c + 8y + 9 + y
8c - 3c = 8y + 9 + y
5c = 9y + 9
c = \( \frac{9y + 9}{5} \)
c = \( \frac{9y}{5} \) + \( \frac{9}{5} \)
c = 1\(\frac{4}{5}\)y + 1\(\frac{4}{5}\)
If a = c = 6, b = d = 4, and the blue angle = 58°, what is the area of this parallelogram?
| 16 | |
| 24 | |
| 6 | |
| 14 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 6 x 4
a = 24
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
|
obtuse, acute |
|
supplementary, vertical |
|
acute, obtuse |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
Solve for x:
-3x + 4 < 6 + x
| x < 7 | |
| x < -\(\frac{1}{2}\) | |
| x < -\(\frac{3}{4}\) | |
| x < -\(\frac{1}{7}\) |
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.
-3x + 4 < 6 + x
-3x < 6 + x - 4
-3x - x < 6 - 4
-4x < 2
x < \( \frac{2}{-4} \)
x < -\(\frac{1}{2}\)