Math Problem Statement
Add the expression: (9c - 4 + 5b) + (2c - 6)
Solution
Let's break down and solve the expression given:
Step 1: Group the like terms
- Terms with :
- Terms with : (there's only one -term)
- Constant terms:
Step 2: Combine all terms
So, the expression simplifies to:
Step 3: Compare to the answer choices
The correct answer is:
This matches the second option: 5b + 11c - 10.
Would you like any additional details or clarifications? Here are some related questions for further practice:
- How do you combine like terms when adding expressions?
- How would you solve this if it involved subtraction instead of addition?
- What happens if one term had a negative coefficient?
- How do constants influence the outcome in expressions?
- Can you simplify an expression with three or more variables?
Tip: Always combine like terms first to simplify algebraic expressions efficiently.
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Math Problem Analysis
Mathematical Concepts
Algebra
Combining Like Terms
Formulas
Combining like terms by adding or subtracting constants and coefficients of similar variables
Theorems
Commutative Property of Addition
Associative Property of Addition
Suitable Grade Level
Grades 6-8