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Simplification Problems
Problem 1: Simplify: ( V49 )
Problem 2: Simplify: ( V64 )
Problem 3: Simplify: ( V25 + 1,000 )
Problem 4: Write in simplest radical form: ( 160 )
Problem 5: Write in simplest radical form: ( 54 )
Problem 6: Write in simplest radical form: ( V648 )
Problem 7: Write in simplest radical form: ( V80 )
Problem 8: Write in simplest radical form: ( 200m^5n^3 )
Problem 9: Write in simplest form: ( 153a^9b^{10}c^3 )
Problem 10: Rewrite ( 9^2 ) in radical form.
Problem 11: Evaluate: ( 9^2 )
Problem 12: Rewrite ( V625^3 ) in exponential form.
Problem 13: Evaluate: ( V625^3 )
Problem 14: Solve the equation: ( 7^{2x+3} = 7^9 )
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Additional Equations to Solve
Problem 14: Solve the equation: ( 5^{3-2x} = 5^{-x} )
Problem 15: Solve the equation: ( 3x-6 = 9^{2x} )
**Error Analysis Problem **
Analyze the student's work in simplifying a rational expression involving ( V384 ).
Perfect Cubes: Identify the perfect cubes: 1, 27, 64, 125, 216, 343.
Current student expression: ( 384 - V64 - 16V384 = eVi a. )
Error Identification: a. What is the error in the student's work?
Error Correction: b. Correct the student’s error.
Explanation: c. Analyze the work to provide a full explanation that includes:
Claim: State what/where the error is.
Evidence: Explain how you corrected the error.
Reasoning: Discuss why the method is correct based on the evidence.