| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
What is the circumference of a circle with a diameter of 1?
| 20π | |
| 6π | |
| 1π | |
| 15π |
The formula for circumference is circle diameter x π:
c = πd
c = 1π
The dimensions of this cylinder are height (h) = 5 and radius (r) = 5. What is the volume?
| 125π | |
| 36π | |
| 320π | |
| 384π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(52 x 5)
v = 125π
What is 5a6 + 3a6?
| 8 | |
| 8a6 | |
| 8a12 | |
| a612 |
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.
5a6 + 3a6 = 8a6
If side a = 7, side b = 1, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{68} \) | |
| \( \sqrt{82} \) | |
| \( \sqrt{5} \) | |
| \( \sqrt{50} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 12
c2 = 49 + 1
c2 = 50
c = \( \sqrt{50} \)
Which of the following statements about math operations is incorrect?
you can multiply monomials that have different variables and different exponents |
|
all of these statements are correct |
|
you can add monomials that have the same variable and the same exponent |
|
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.