Math Problem Statement
Find the value of each expression if a = 2 and b = 3:
6. 5a + 2 - 1
7. (4a + 3b) - 2
8. (6 + 6) × 4
9. (3a + 3) ÷ b
Solution
The problem asks to evaluate the given algebraic expressions, substituting and . Here are the solutions:
6.
Substitute :
Answer: 11
7.
Substitute and :
Answer: 15
8.
Simplify inside the parentheses:
Answer: 48
9.
Substitute and :
Answer: 3
Let me know if you'd like detailed steps for any part! 😊
Related Questions:
- What are the key steps to simplify expressions with variables before substitution?
- Can you explain the order of operations in algebra?
- How would the answers change if different values were assigned to and ?
- Why is it important to group terms properly (e.g., parentheses) in algebra?
- How can these expressions be visualized graphically?
Tip:
Always follow PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) to ensure accurate calculations!
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Math Problem Analysis
Mathematical Concepts
Substitution
Order of Operations (PEMDAS)
Simplifying Algebraic Expressions
Formulas
Substitute variables: Replace a and b with given values
PEMDAS for operation order
Theorems
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Suitable Grade Level
Grades 6-8