Translate this sentence into an equation: Chau's score increased by 9 is 69. Use the variable c to represent Chau's score.
Understand the Problem
The question asks us to convert a verbal statement about Chau's score into an algebraic equation. Specifically, it indicates that Chau's score, when increased by 9, equals 69. We need to represent Chau's score with the variable c.
Answer
$$ c + 9 = 69 $$
Answer for screen readers
The algebraic equation representing the statement is: $$ c + 9 = 69 $$
Steps to Solve
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Identify Chau's Score Variable Define Chau's score using the variable ( c ).
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Express the "increased by" Concept The phrase "Chau's score increased by 9" can be expressed mathematically as ( c + 9 ).
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Set Up the Equation According to the problem statement, this expression equals 69. Therefore, we can write the equation as: $$ c + 9 = 69 $$
The algebraic equation representing the statement is: $$ c + 9 = 69 $$
More Information
This equation shows that to find Chau's score ( c ), you simply need to subtract 9 from 69.
Tips
- Confusing "increased by" with other operations, such as subtraction. Remember, "increased by" always indicates addition.
- Forgetting to properly set up the variable before writing the equation.
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