Questions and Answers
Match the terms to their definition
Algebraic expression = 1 Evaluate = 2 Substitution = 3 Variable = 4
Evaluate a + 6 for a = 10.
16
Evaluate B (to the second power) for B = 9.
81
Evaluate x (to the third power) for x = 2.
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Evaluate a + b for a = 2 and b = 3.
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Sam evaluated the expression x (to the second power) y for x = 7 and y = 9. He got a value of 49. Which of the following statements is correct?
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Evaluate ab + c for a = 2, b = 3, and c = 4.
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Evaluate a (second power) b (second power) c (second power) for a = 2, b = 3, and c = 4.
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Evaluate 2a - b for a = 2 and b = 3.
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Evaluate 3ab for a = 2 and b = 3.
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Evaluate (a + b) (second power) for a = 2 and b = 3.
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Evaluate a + b (second power) for a = 2 and b = 3.
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Evaluate 3a (second power) + 4b (second power) for a = 2 and b = 3.
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If the value of 2x (third power) is 2, then what is the value of x?
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Study Notes
Evaluating Expressions Overview
- Algebraic expressions consist of numbers, variables, and operations that can be evaluated.
- Evaluating involves substituting variables with specific values and calculating the result.
- Substitution is the process of replacing a variable in an expression with a given value.
Key Evaluations and Results
- For a = 10, a + 6 evaluates to 16.
- For B = 9, B² evaluates to 81.
- For x = 2, x³ evaluates to 8.
- For a = 2 and b = 3, a + b evaluates to 5.
Multiple Variable Evaluations
- For a = 2, b = 3, and c = 4, ab + c evaluates to 10.
- For a = 2, b = 3, and c = 4, a²b²c² evaluates to 576.
Expressions Involving Operations
- For a = 2 and b = 3, 2a - b evaluates to 1.
- For a = 2 and b = 3, 3ab evaluates to 18.
- For a = 2 and b = 3, (a + b)² evaluates to 25.
- For a = 2 and b = 3, a + b² evaluates to 11.
- For a = 2 and b = 3, 3a² + 4b² evaluates to 48.
Problem Solving Insights
- Sam incorrectly evaluated x²y for x = 7 and y = 9, mistakenly concluding it equals 49; this indicates he forgot to multiply.
- When asked to solve for x from 2x³ = 2, the solution yields x = 1.
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Description
Test your understanding of evaluating algebraic expressions with this interactive quiz. Match terms to their definitions and solve various expressions to enhance your algebra skills. Perfect for students looking to reinforce their knowledge of algebra.
