Math Problem Statement

Evaluate the expression if a = -2, b = 3, c = 4.2 for 2a + (b+3)2

Solution

Let's evaluate the given expression 2a+(b+3)22a + (b + 3)2 with the values a=2a = -2, b=3b = 3, and c=4.2c = 4.2.

First, substitute the values of aa and bb into the expression: 2(2)+(3+3)22(-2) + (3 + 3) \cdot 2

Step-by-step calculation:

  1. Calculate 2a=2(2)=42a = 2(-2) = -4.
  2. Calculate (b+3)=3+3=6(b + 3) = 3 + 3 = 6.
  3. Multiply by 2: 62=126 \cdot 2 = 12.
  4. Add the results: 4+12=8-4 + 12 = 8.

Therefore, the value of the expression is 88.

Would you like a breakdown of any of the steps? Here are 5 related questions:

  1. How would the expression change if aa or bb had different values?
  2. What happens if the expression includes cc as well?
  3. Can this be represented visually with graphs?
  4. How can you use this method for more complex algebraic expressions?
  5. What are some similar expressions that involve more variables?

Tip: When substituting values into expressions, handle operations like parentheses and multiplication first to avoid mistakes.

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Math Problem Analysis

Mathematical Concepts

Algebra
Substitution
Simplification

Formulas

2a + (b + 3) * 2

Theorems

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Suitable Grade Level

Grades 6-8