Math Problem Statement
Solution
The problem in the image asks to identify the error in Alice's simplification of the given algebraic expression. Here's a breakdown of the steps:
Expression Given:
Simplified Expression by Alice:
Let's Simplify the Expression Step by Step:
-
Distribute: Multiply each term as indicated:
-
Add the Terms:
Comparison to Alice's Simplified Expression:
- Alice's simplified expression is , but the correct simplified expression should be .
- The options provided to identify the error:
- Alice did not add the first and third terms correctly.
- Alice combined some terms that are not like terms.
- Alice forgot to add the 1x to the other like terms.
Based on the steps above, Alice did not add the terms correctly and possibly made an error by introducing a constant that shouldn't be there. Therefore, the correct option is likely Option 1 or Option 3.
Conclusion:
The error was in the addition of terms; the correct expression should be .
Would you like more details, or do you have any questions about this?
Here are 8 related questions to further your understanding:
- What are "like terms" in algebraic expressions?
- How can you identify errors in algebraic simplifications?
- What does it mean to "distribute" a term in algebra?
- Can you always combine like terms in any algebraic expression?
- What happens if you incorrectly add or subtract terms in an algebraic expression?
- How would you simplify the expression if there were parentheses involved?
- What are the common mistakes made when simplifying algebraic expressions?
- How would you verify your simplification of an algebraic expression?
Tip: Always double-check each step when simplifying expressions to ensure that terms are combined correctly and that no additional terms are incorrectly introduced.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Simplifying Algebraic Expressions
Formulas
-
Theorems
-
Suitable Grade Level
Grades 7-9
Related Recommendation
Identifying Mistakes in Simplifying Algebraic Expressions - Step-by-Step Explanation
Identifying Incorrect Simplification in Algebraic Expressions
Determine Correctness of Algebraic Statements Involving Exponents
Equation Simplification Errors and Correct Steps
Error in Quadratic Inequality Simplification