| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.89 |
| Score | 0% | 58% |
Solve for b:
-9b - 7 > \( \frac{b}{-2} \)
| b > 3\(\frac{3}{20}\) | |
| b > 1\(\frac{1}{53}\) | |
| b > -\(\frac{14}{17}\) | |
| b > \(\frac{12}{13}\) |
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.
-9b - 7 > \( \frac{b}{-2} \)
-2 x (-9b - 7) > b
(-2 x -9b) + (-2 x -7) > b
18b + 14 > b
18b + 14 - b > 0
18b - b > -14
17b > -14
b > \( \frac{-14}{17} \)
b > -\(\frac{14}{17}\)
Simplify (y + 8)(y + 4)
| y2 + 4y - 32 | |
| y2 - 12y + 32 | |
| y2 + 12y + 32 | |
| y2 - 4y - 32 |
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 + 8)(y + 4)
(y x y) + (y x 4) + (8 x y) + (8 x 4)
y2 + 4y + 8y + 32
y2 + 12y + 32
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
acute, obtuse |
|
vertical, supplementary |
|
obtuse, acute |
|
supplementary, vertical |
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).
What is 6a4 - 3a4?
| 18a8 | |
| 9a8 | |
| 3a4 | |
| 18a4 |
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.
6a4 - 3a4 = 3a4
The dimensions of this cylinder are height (h) = 8 and radius (r) = 1. What is the surface area?
| 44π | |
| 16π | |
| 18π | |
| 156π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 8)
sa = 2π(1) + 2π(8)
sa = (2 x 1)π + (2 x 8)π
sa = 2π + 16π
sa = 18π