| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.90 |
| Score | 0% | 58% |
Solve for c:
4c - 6 < \( \frac{c}{3} \)
| c < -1\(\frac{1}{26}\) | |
| c < -\(\frac{12}{19}\) | |
| c < 1\(\frac{7}{11}\) | |
| c < 1\(\frac{1}{20}\) |
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.
4c - 6 < \( \frac{c}{3} \)
3 x (4c - 6) < c
(3 x 4c) + (3 x -6) < c
12c - 18 < c
12c - 18 - c < 0
12c - c < 18
11c < 18
c < \( \frac{18}{11} \)
c < 1\(\frac{7}{11}\)
The dimensions of this cylinder are height (h) = 8 and radius (r) = 4. What is the surface area?
| 42π | |
| 96π | |
| 196π | |
| 16π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 8)
sa = 2π(16) + 2π(32)
sa = (2 x 16)π + (2 x 32)π
sa = 32π + 64π
sa = 96π
What is 7a6 + 6a6?
| 13a6 | |
| 42a12 | |
| 1 | |
| 13a12 |
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.
7a6 + 6a6 = 13a6
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
|
acute, obtuse |
|
vertical, supplementary |
|
obtuse, acute |
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 y:
2y - 7 = 4 + 9y
| -1\(\frac{4}{7}\) | |
| -1 | |
| -1\(\frac{1}{3}\) | |
| -4 |
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.
2y - 7 = 4 + 9y
2y = 4 + 9y + 7
2y - 9y = 4 + 7
-7y = 11
y = \( \frac{11}{-7} \)
y = -1\(\frac{4}{7}\)