| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
What is 8a - 9a?
| -1 | |
| 17a2 | |
| -1a | |
| a2 |
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.
8a - 9a = -1a
What is 4a + 4a?
| 8a2 | |
| 8a | |
| 0 | |
| 16a2 |
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 + 4a = 8a
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
π r2h2 |
|
π r2h |
|
4π r2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
Simplify (7a)(4ab) + (6a2)(5b).
| 121ab2 | |
| 2a2b | |
| 58a2b | |
| -2a2b |
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)(4ab) + (6a2)(5b)
(7 x 4)(a x a x b) + (6 x 5)(a2 x b)
(28)(a1+1 x b) + (30)(a2b)
28a2b + 30a2b
58a2b
Solve for z:
4z - 6 > 2 - 8z
| z > -3\(\frac{1}{2}\) | |
| z > -\(\frac{1}{8}\) | |
| z > \(\frac{2}{3}\) | |
| z > -\(\frac{2}{3}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
4z - 6 > 2 - 8z
4z > 2 - 8z + 6
4z + 8z > 2 + 6
12z > 8
z > \( \frac{8}{12} \)
z > \(\frac{2}{3}\)