| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.84 |
| Score | 0% | 57% |
Solve 7c + 8c = -8c + 2x - 8 for c in terms of x.
| -\(\frac{2}{5}\)x - \(\frac{8}{15}\) | |
| -\(\frac{1}{2}\)x + \(\frac{1}{8}\) | |
| -5x + 1\(\frac{2}{3}\) | |
| 5x - \(\frac{1}{3}\) |
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.
7c + 8x = -8c + 2x - 8
7c = -8c + 2x - 8 - 8x
7c + 8c = 2x - 8 - 8x
15c = -6x - 8
c = \( \frac{-6x - 8}{15} \)
c = \( \frac{-6x}{15} \) + \( \frac{-8}{15} \)
c = -\(\frac{2}{5}\)x - \(\frac{8}{15}\)
Simplify 6a x 9b.
| 54\( \frac{a}{b} \) | |
| 54\( \frac{b}{a} \) | |
| 54ab | |
| 54a2b2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
6a x 9b = (6 x 9) (a x b) = 54ab
The dimensions of this cylinder are height (h) = 2 and radius (r) = 4. What is the surface area?
| 168π | |
| 48π | |
| 60π | |
| 306π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 2)
sa = 2π(16) + 2π(8)
sa = (2 x 16)π + (2 x 8)π
sa = 32π + 16π
sa = 48π
A right angle measures:
90° |
|
180° |
|
360° |
|
45° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
The formula for the area of a circle is which of the following?
c = π d |
|
c = π r2 |
|
c = π d2 |
|
c = π r |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.