Math Problem Statement

Add the expression: (9c - 4 + 5b) + (2c - 6)

Solution

Let's break down and solve the expression given:

(9c4+5b)+(2c6)(9c - 4 + 5b) + (2c - 6)

Step 1: Group the like terms

  • Terms with cc: 9c+2c=11c9c + 2c = 11c
  • Terms with bb: 5b5b (there's only one bb-term)
  • Constant terms: 46=10-4 - 6 = -10

Step 2: Combine all terms

So, the expression simplifies to:

5b+11c105b + 11c - 10

Step 3: Compare to the answer choices

The correct answer is:

  • 5b+11c105b + 11c - 10

This matches the second option: 5b + 11c - 10.

Would you like any additional details or clarifications? Here are some related questions for further practice:

  1. How do you combine like terms when adding expressions?
  2. How would you solve this if it involved subtraction instead of addition?
  3. What happens if one term had a negative coefficient?
  4. How do constants influence the outcome in expressions?
  5. 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