| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
What is 9a3 + 5a3?
| 14a3 | |
| 14 | |
| 4a6 | |
| 14a6 |
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.
9a3 + 5a3 = 14a3
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
|
quadrilateral |
|
triangle |
|
trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
What is 6a + 6a?
| 36a2 | |
| 12a | |
| 12a2 | |
| 36a |
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.
6a + 6a = 12a
Simplify 7a x 5b.
| 35\( \frac{b}{a} \) | |
| 35a2b2 | |
| 35ab | |
| 35\( \frac{a}{b} \) |
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 x 5b = (7 x 5) (a x b) = 35ab
Solve 7a + 6a = 5a - 5z - 1 for a in terms of z.
| -5\(\frac{1}{2}\)z - \(\frac{1}{2}\) | |
| \(\frac{11}{16}\)z - \(\frac{3}{16}\) | |
| 3\(\frac{1}{2}\)z + 1\(\frac{3}{4}\) | |
| -\(\frac{1}{15}\)z + \(\frac{1}{15}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
7a + 6z = 5a - 5z - 1
7a = 5a - 5z - 1 - 6z
7a - 5a = -5z - 1 - 6z
2a = -11z - 1
a = \( \frac{-11z - 1}{2} \)
a = \( \frac{-11z}{2} \) + \( \frac{-1}{2} \)
a = -5\(\frac{1}{2}\)z - \(\frac{1}{2}\)