Simplify 3r + 2p - 7r + 5
Understand the Problem
The question is asking to simplify the expression 3r + 2p - 7r + 5 by combining like terms. The approach involves identifying the like terms for 'r' and summing them, while keeping 'p' separate.
Answer
The simplified expression is $-4r + 2p + 5$.
Answer for screen readers
The simplified expression is $-4r + 2p + 5$.
Steps to Solve
- Identify Like Terms Start by identifying the like terms in the expression:
- For terms with $r$: $3r$ and $-7r$
- The $p$ term: $2p$
- The constant term: $5$
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Combine the Like Terms for r Now, combine the coefficients of the $r$ terms: $$ 3r - 7r = (3 - 7)r = -4r $$
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Write the Simplified Expression Now, incorporate the other terms ($2p$ and $5$) into the expression: $$ -4r + 2p + 5 $$
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Final Simplified Expression The final simplified expression is: $$ -4r + 2p + 5 $$
The simplified expression is $-4r + 2p + 5$.
More Information
When simplifying expressions, combining like terms is essential. This involves grouping variables with the same base and adding or subtracting their coefficients. In this case, the $r$ terms were combined, and the other terms remained intact.
Tips
- Forgetting to combine all like terms, which can lead to an incorrect answer.
- Confusing the signs when adding or subtracting integers, particularly with negatives.
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