| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
What is the area of a circle with a radius of 3?
| 7π | |
| 9π | |
| 3π | |
| 49π |
The formula for area is πr2:
a = πr2
a = π(32)
a = 9π
The dimensions of this cube are height (h) = 7, length (l) = 6, and width (w) = 6. What is the surface area?
| 240 | |
| 38 | |
| 348 | |
| 126 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 6 x 6) + (2 x 6 x 7) + (2 x 6 x 7)
sa = (72) + (84) + (84)
sa = 240
Simplify (7a)(9ab) + (4a2)(6b).
| -39ab2 | |
| 87a2b | |
| 39ab2 | |
| 160a2b |
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.
(7a)(9ab) + (4a2)(6b)
(7 x 9)(a x a x b) + (4 x 6)(a2 x b)
(63)(a1+1 x b) + (24)(a2b)
63a2b + 24a2b
87a2b
What is the circumference of a circle with a diameter of 14?
| 10π | |
| 32π | |
| 14π | |
| 38π |
The formula for circumference is circle diameter x π:
c = πd
c = 14π
What is 5a3 + 6a3?
| 11a3 | |
| a36 | |
| 30a3 | |
| 11a6 |
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.
5a3 + 6a3 = 11a3