Math Problem Statement

Evaluate if a = 2, b = 7, and c = 6: (7a + b) / c

Solution

The expression provided in the image is:

7a+bc\frac{7a + b}{c} where:

  • a=2a = 2
  • b=7b = 7
  • c=6c = 6

Now, let's substitute the values of aa, bb, and cc into the expression:

7(2)+76\frac{7(2) + 7}{6}

First, calculate the numerator:

7(2)+7=14+7=217(2) + 7 = 14 + 7 = 21

Now, divide the result by c=6c = 6:

216=3.5\frac{21}{6} = 3.5

So, the evaluated result is:

3.53.5

Would you like more details, or do you have any questions?

Here are 5 related questions for practice:

  1. What is the value of the expression if a=3a = 3, b=5b = 5, and c=4c = 4?
  2. How does changing bb affect the value of the expression?
  3. Can you simplify the expression 7a+bc\frac{7a + b}{c} for general values of aa, bb, and cc?
  4. What happens to the result if c=0c = 0 in the expression?
  5. How would you evaluate a similar expression, 5abc\frac{5a - b}{c}, with given values?

Tip: When working with expressions, always simplify step by step and check for division by zero to avoid undefined values.

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Math Problem Analysis

Mathematical Concepts

Algebra
Substitution
Basic Arithmetic

Formulas

(7a + b) / c

Theorems

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Suitable Grade Level

Grades 6-8