Finding the Solution to an Equation in One Variable, Part 1

1.4.1 Finding the Solution to an Equation in One Variable, Part 1

1.4.1 • Finding the Solution to an Equation in One Variable, Part 1

Warm Up

A granola bite contains 27 calories. Most of the calories come from cc grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories.

The equation 4c+5=274c+5=27 represents the relationship between these quantities.

1.

What could the 5 represent in this situation?

Compare your answer:

It could represent the calories from other ingredients in the granola bite.

2.

Priya said that neither 8 nor 3 could be the solution to the equation. Is she correct?

Compare your answer:

Yes, she is correct that 8 and 3 could not be solutions. Sample explanation: 4(8)+54(8)+5 is 37, not 27, and 4(3)+54(3)+5 is 17, not 27.

3.

Marcus said the solution is 5.5. Is he correct? Explain.

Compare your answer:

Yes, he is correct that 5.5 is a solution. 4(5.5)+54(5.5)+5 is 27.