Math Problem Statement
Evaluate this expression if a = 3 and b = 2: (4a - b) / (4 - b)
Solution
Let's evaluate the given expression step by step.
The expression is:
We are given that and .
Substituting these values into the expression:
Simplifying the numerator:
Now simplify the denominator:
So, the expression becomes:
Thus, the number that belongs in the green box is 5.
Would you like further details or have any questions about this solution?
Here are 5 questions to expand your understanding:
- How does changing the values of and affect the result?
- What happens if in this expression?
- Can you explain the importance of simplifying both the numerator and the denominator separately?
- How would the result change if the expression were ?
- How can you generalize this approach for more complex algebraic expressions?
Tip: Always simplify expressions step by step to avoid calculation errors, especially when dealing with multiple terms.
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Math Problem Analysis
Mathematical Concepts
Algebra
Substitution
Simplification
Formulas
(4a - b) / (4 - b)
Theorems
-
Suitable Grade Level
Grades 6-8