
Algebra 1 | Unit 7 | Lesson 20: Rational and Irrational Solutions | Practice Problems
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Mathematics
6th Grade

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12 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Decide whether each number is rational or irrational.
10
-3
2.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
Here are the solutions to some quadratic equations. Select all solutions that are rational.
3.
OPEN ENDED QUESTION
3 mins • 1 pt
Solve each equation. Then, determine if the solutions are rational or irrational. \((x+1)^2 = 4\)
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4.
OPEN ENDED QUESTION
3 mins • 1 pt
Solve each equation. Then, determine if the solutions are rational or irrational. \((x-5)^2 = 36\)
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5.
OPEN ENDED QUESTION
3 mins • 1 pt
Solve each equation. Then, determine if the solutions are rational or irrational. \((x+3)^2 = 11\)
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6.
OPEN ENDED QUESTION
3 mins • 1 pt
Solve each equation. Then, determine if the solutions are rational or irrational. \((x-4)^2 = 6\)
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7.
OPEN ENDED QUESTION
3 mins • 1 pt
Based on the graph, what are the solutions to the equation \(81(x-3)^2 = 4\)? Can you tell whether they are rational or irrational? Explain how you know.
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