| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
Solve for c:
c - 6 < -1 + 7c
| c < \(\frac{1}{3}\) | |
| c < -\(\frac{1}{8}\) | |
| c < -\(\frac{6}{7}\) | |
| c < -\(\frac{5}{6}\) |
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.
c - 6 < -1 + 7c
c < -1 + 7c + 6
c - 7c < -1 + 6
-6c < 5
c < \( \frac{5}{-6} \)
c < -\(\frac{5}{6}\)
Simplify (7a)(8ab) - (6a2)(6b).
| 180ab2 | |
| 20a2b | |
| -20ab2 | |
| 92ab2 |
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)(8ab) - (6a2)(6b)
(7 x 8)(a x a x b) - (6 x 6)(a2 x b)
(56)(a1+1 x b) - (36)(a2b)
56a2b - 36a2b
20a2b
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Last |
|
Inside |
|
First |
|
Odd |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.
What is 5a - 8a?
| 13a2 | |
| -3a | |
| 40a | |
| 40a2 |
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.
5a - 8a = -3a
Simplify (y + 3)(y + 2)
| y2 - 5y + 6 | |
| y2 + y - 6 | |
| y2 - y - 6 | |
| y2 + 5y + 6 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 3)(y + 2)
(y x y) + (y x 2) + (3 x y) + (3 x 2)
y2 + 2y + 3y + 6
y2 + 5y + 6