| What to create | Exam |
| Which subject | Mathematics |
| What age group | Year or Grade 11 |
| What topic | Multiplying, dividing, simplifying rational expressions; operations of functions |
| Question types | Open-ended |
| Number of questions | 10 |
| Number of answers | 4 |
| Correct answers | Exactly 1 |
| Show correct answers | |
| Use images (descriptions) | |
| Any other preferences |
Please read each question carefully and provide your answer in the space provided. This quiz will assess your understanding of multiplying, dividing, and simplifying rational expressions, as well as operations involving functions.
Multiply the rational expressions:
(\frac{3x}{4} \times \frac{8}{5x})
What is the simplified form of the result?
Divide the rational expressions:
(\frac{6x^2}{9} \div \frac{2x}{3})
What is the simplified result of the division?
Simplify the rational expression:
(\frac{x^2 - 9}{x^2 - 6x + 9})
What is the simplest form?
Multiply the rational expressions and simplify:
(\frac{2x^2}{3y} \times \frac{9y^2}{4x})
What is the result in its simplest form?
Divide and simplify the rational expressions:
(\frac{5xy}{10x^2} \div \frac{y^2}{2x})
What is the final simplified expression?
Add the rational expressions:
(\frac{2}{x} + \frac{3}{x^2})
What is the simplified form of the sum?
Subtract the rational expressions:
(\frac{5x}{6} - \frac{3}{2})
What is the result after simplification?
Evaluate the function:
If (f(x) = \frac{2x + 4}{x - 1}), what is (f(3))?
Perform the operation and simplify:
If (g(x) = x^2 - 4) and (h(x) = x + 2), what is (\frac{g(x)}{h(x)}) simplified?
Calculate the function composition:
If (f(x) = 2x + 1) and (h(x) = \frac{1}{x}), what is (h(f(2)))?
Please ensure that you have answered each question before submitting your quiz. Your understanding of rational expressions and function operations will help solidify your mathematical foundation. Good luck!