Translate this phrase into an algebraic expression.22 more than twice Chrissy's ageUse the variable c to represent Chrissy's age.
Question
Translate this phrase into an algebraic expression.
22 more than twice Chrissy's age
Use the variable c to represent Chrissy's age.
Solution
Step 1: Break Down the Problem
To translate the phrase "22 more than twice Chrissy's age" into an algebraic expression, we need to identify and define the components of the phrase:
- Chrissy's Age: Represented by the variable .
- Twice Chrissy's Age: This means .
- 22 More Than: This indicates we need to add 22 to the previously calculated value.
Step 2: Relevant Concepts
We need to use algebra to represent the relationships described in the phrase. In algebra:
- "Twice" is represented by multiplication (2).
- "More than" indicates addition.
Step 3: Analysis and Detail
From the breakdown:
- First, calculate twice Chrissy's age: .
- Then, add 22 to this value: .
Step 4: Verify and Summarize
We verified that the expression reflects the initial phrase accurately, representing Chrissy's age correctly using the variable and applying the operations of multiplication and addition as described.
Final Answer
The algebraic expression is:
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