| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
What is 4a - 3a?
| 12a | |
| 7a2 | |
| 1a | |
| 7 |
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.
4a - 3a = 1a
Simplify 9a x 5b.
| 45\( \frac{b}{a} \) | |
| 45ab | |
| 45\( \frac{a}{b} \) | |
| 45a2b2 |
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.
9a x 5b = (9 x 5) (a x b) = 45ab
A coordinate grid is composed of which of the following?
x-axis |
|
y-axis |
|
all of these |
|
origin |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
Simplify (3a)(8ab) - (8a2)(6b).
| 72a2b | |
| 154a2b | |
| -24a2b | |
| 72ab2 |
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.
(3a)(8ab) - (8a2)(6b)
(3 x 8)(a x a x b) - (8 x 6)(a2 x b)
(24)(a1+1 x b) - (48)(a2b)
24a2b - 48a2b
-24a2b
The dimensions of this cylinder are height (h) = 7 and radius (r) = 8. What is the surface area?
| 240π | |
| 272π | |
| 182π | |
| 224π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 7)
sa = 2π(64) + 2π(56)
sa = (2 x 64)π + (2 x 56)π
sa = 128π + 112π
sa = 240π