Practice Solving Rational Equations (8) - Rational Functions - IB 10 Mathematics

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9 questions

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Solve the equation: $\frac{1}{x} = \frac{3}{x+4}$ . What are the restrictions?
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Set each denominator to zero.
Question 2.
Find the domain for the equation $\frac{5}{2x} = 3$ .
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Determine when the denominator equals zero.
3Question 3.
What is the first step in solving rational equations?
- Multiply by LCD
- Identify restrictions
- Isolate variable
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Think about what could go wrong when a fraction has a zero denominator.
4Question 4.
True or False: After finding the solution to a rational equation, you should always check it against the original equation.
- True
- False
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What do we need to avoid when solving equations?
Question 5.
Solve the equation $\frac{2}{x+2} + \frac{3}{x-3} = 1$ and describe your thought process.
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Write down the steps you would take while simplifying.
Question 6.
For $\frac{x^2-1}{x+1} = 3$ , determine the value of x and verify your solution.
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Could there be any values leading to zero in the denominators?

5 more questions in this section. Enroll free to practise them all.