| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
Solve 4c + 7c = 8c - 9x - 2 for c in terms of x.
| x - \(\frac{2}{11}\) | |
| -\(\frac{1}{4}\)x - 1\(\frac{1}{4}\) | |
| -\(\frac{1}{3}\)x + \(\frac{8}{9}\) | |
| 4x + \(\frac{1}{2}\) |
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.
4c + 7x = 8c - 9x - 2
4c = 8c - 9x - 2 - 7x
4c - 8c = -9x - 2 - 7x
-4c = -16x - 2
c = \( \frac{-16x - 2}{-4} \)
c = \( \frac{-16x}{-4} \) + \( \frac{-2}{-4} \)
c = 4x + \(\frac{1}{2}\)
The dimensions of this cylinder are height (h) = 6 and radius (r) = 4. What is the surface area?
| 80π | |
| 84π | |
| 140π | |
| 156π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 6)
sa = 2π(16) + 2π(24)
sa = (2 x 16)π + (2 x 24)π
sa = 32π + 48π
sa = 80π
What is 5a7 + 5a7?
| 10a14 | |
| 10 | |
| 10a7 | |
| a714 |
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.
5a7 + 5a7 = 10a7
Which of the following statements about math operations is incorrect?
you can add monomials that have the same variable and the same exponent |
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you can multiply monomials that have different variables and different exponents |
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all of these statements are correct |
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you can subtract monomials that have the same variable and the same exponent |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
What is the circumference of a circle with a radius of 7?
| 18π | |
| 9π | |
| 14π | |
| 12π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 7)
c = 14π