| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
What is 9a + 3a?
| 6a2 | |
| 12a | |
| 12a2 | |
| 27a |
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.
9a + 3a = 12a
Solve 9a + 8a = -6a + 5z - 7 for a in terms of z.
| -2\(\frac{1}{6}\)z + \(\frac{1}{2}\) | |
| 1\(\frac{1}{10}\)z - \(\frac{3}{10}\) | |
| -\(\frac{1}{5}\)z - \(\frac{7}{15}\) | |
| \(\frac{2}{7}\)z - 1 |
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.
9a + 8z = -6a + 5z - 7
9a = -6a + 5z - 7 - 8z
9a + 6a = 5z - 7 - 8z
15a = -3z - 7
a = \( \frac{-3z - 7}{15} \)
a = \( \frac{-3z}{15} \) + \( \frac{-7}{15} \)
a = -\(\frac{1}{5}\)z - \(\frac{7}{15}\)
If side x = 11cm, side y = 12cm, and side z = 12cm what is the perimeter of this triangle?
| 35cm | |
| 27cm | |
| 34cm | |
| 37cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 11cm + 12cm + 12cm = 35cm
Simplify (4a)(2ab) - (5a2)(2b).
| 42ab2 | |
| 42a2b | |
| 18a2b | |
| -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.
(4a)(2ab) - (5a2)(2b)
(4 x 2)(a x a x b) - (5 x 2)(a2 x b)
(8)(a1+1 x b) - (10)(a2b)
8a2b - 10a2b
-2a2b
Which of the following expressions contains exactly two terms?
polynomial |
|
binomial |
|
monomial |
|
quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.