Practice Algebraic Equations Involving Fractions And Radicals (2.3.6)

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9 questions

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2 cards from this section. Quick, good the night before a test.
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 $\frac{1}{3}x + 2 = 5$ .
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Multiply both sides by 3.
Question 2.
Solve $\sqrt{x} = 5$ .
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Square both sides.
3Question 3.
What is the first step to solve $\frac{2}{x} + 1 = 3$ ?
- Get rid of fractions
- Add 1 to both sides
- Multiply both sides by x
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Think about how to eliminate the fraction.
4Question 4.
True or False: Squaring both sides of an equation can introduce extraneous solutions.
- True
- False
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Remember to check your results.
Question 5.
Solve the equation $\frac{2\sqrt{x+5}}{3} = 1$ .
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Start by clearing the fraction.
Question 6.
Solve $\sqrt{x-1} + 2 = \frac{3}{x}$ .
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Clear fractions before squaring.

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