Simplification of Algebraic Expressions

Algebraic Expression Simplification

Problem Statement

  • Identify the equivalent expression for the equation:
    5d + 7d + 5 + 3

Step-by-Step Simplification

1. Combine like terms

  • Step 1: Identify the coefficients of the variable (d):
    • The coefficients are 5 and 7.
  • Step 2: Combine these coefficients:
    5d + 7d = (5 + 7)d = 12d

2. Combine the constant terms

  • Step 3: Identify the constant terms:
    • The constants are 5 and 3.
  • Step 4: Combine these constant terms:
    5 + 3 = 8

3. Final expression

  • Final Result:
    Combining both results gives:
    12d + 8

Conclusion

  • The equivalent expression of 5d + 7d + 5 + 3 is:
    • Answer: 12d + 8

Multiple Choice Options

  • 12d + 8 (Correct Answer)
  • 20d
  • 15d
  • (Other Options)

Remaining Attempts

  • Remaining attempts: 1

Next Steps

  • After understanding the simplification, focus on practicing similar problems to enhance algebraic skills.