| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
Solve 9b - 9b = -6b - 5x - 1 for b in terms of x.
| \(\frac{2}{3}\)x + 1\(\frac{1}{3}\) | |
| \(\frac{4}{15}\)x - \(\frac{1}{15}\) | |
| -13x - 2 | |
| -3x - 2\(\frac{1}{2}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
9b - 9x = -6b - 5x - 1
9b = -6b - 5x - 1 + 9x
9b + 6b = -5x - 1 + 9x
15b = 4x - 1
b = \( \frac{4x - 1}{15} \)
b = \( \frac{4x}{15} \) + \( \frac{-1}{15} \)
b = \(\frac{4}{15}\)x - \(\frac{1}{15}\)
If a = c = 6, b = d = 7, and the blue angle = 77°, what is the area of this parallelogram?
| 15 | |
| 30 | |
| 35 | |
| 42 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 6 x 7
a = 42
What is 9a5 - 7a5?
| 63a10 | |
| 2a10 | |
| 2a5 | |
| 16a10 |
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.
9a5 - 7a5 = 2a5
The dimensions of this cylinder are height (h) = 9 and radius (r) = 8. What is the volume?
| 576π | |
| 162π | |
| 256π | |
| 12π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(82 x 9)
v = 576π
If angle a = 32° and angle b = 54° what is the length of angle c?
| 63° | |
| 94° | |
| 45° | |
| 86° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 32° - 54° = 94°