Math Problem Statement

Simplify the given expressions: A. 15x + 5 + 35x + 25x B. 27x + x + 24x + 8x

Solution

The question asks to simplify two algebraic expressions. Let's break down each one:

Expression A:

15x+5+35x+25x15x + 5 + 35x + 25x

  • Combine like terms (terms involving xx): 15x+35x+25x=75x15x + 35x + 25x = 75x
  • The final simplified form of Expression A: 75x+575x + 5

Expression B:

27x+x+24x+8x27x + x + 24x + 8x

  • Combine like terms: 27x+x+24x+8x=60x27x + x + 24x + 8x = 60x
  • The final simplified form of Expression B: 60x60x

Let me know if you have any questions or need further clarifications!


Here are 5 related questions to explore further:

  1. How do you simplify expressions with both constants and variables?
  2. What is the difference between like terms and unlike terms?
  3. Can you factor the expressions after simplification?
  4. How do you simplify expressions with higher degree terms, such as x2x^2?
  5. What is the distributive property, and how does it apply in simplifying expressions?

Tip: Always group and combine like terms first when simplifying algebraic expressions.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification
Combining Like Terms

Formulas

Sum of Like Terms: ax + bx = (a+b)x

Theorems

Distributive Property

Suitable Grade Level

Grades 6-8