## The Deli

## Opening

# The Deli

Watch the video.

- Write an equation to find the cost per pound for the carrot raisin salad.

VIDEO: Best Deli

Watch the video.

- Write an equation to find the cost per pound for the carrot raisin salad.

VIDEO: Best Deli

Write equations, make estimates, and solve the equations.

Look at the equation you wrote for the carrot raisin salad.

- Estimate the solution and decide whether your estimate makes sense.
- Solve the equation and write the answer as a complete sentence.

Use rounding and mental strategies to help you make an estimate.

Mrs. Ortiz buys 0.8 lb of turkey and 2.5 lb of ham. The total cost is $22.75. The ham costs $6.70 per lb. What is the price per pound of the turkey?

- Write an equation to represent the problem.
- Estimate the solution and decide whether your estimate makes sense.
- Solve the equation and write the answer as a complete sentence.

Use the question in the problem to help you decide what quantity the variable in your equation should represent.

A salad costs $5.95, plus an extra charge for each additional ingredient. You order 3 salads that each have 2 additional ingredients, and 3 salads that each have 1 additional ingredient. The total cost is $48.75. What is the cost of 1 additional ingredient?

- Write an equation to represent the problem.
- Estimate the solution and decide whether your estimate makes sense.
- Solve the equation and write the answer as a complete sentence.

Jack and Marcus both babysat for the same number of hours on Thursday and they both earned the same amount of money. However, Jack was paid $3 per hour and received a $5 tip, and Marcus was paid $4 per hour and received a $1.25 tip. How many hours did the boys babysit?

- Write an equation to represent the problem.
- Estimate the solution and decide whether your estimate makes sense.
- Solve the equation and write the answer as a complete sentence.

You will use the variable more than once in your equation.

Take notes about your classmates’ equations, estimates, and solutions.

As your classmates present, ask questions such as:

- How did you come up with your estimate?
- How close is your estimate to the final solution?
- How did you decide which quantity in the problem should be represented by the variable?
- Can you explain the steps you used to solve the equation?
- Does the solution to the equation make sense in terms of the problem situation?
- Why do you sometimes need to use both the addition property of equality and the multiplication property of equality to solve equations?

Write a summary about writing and solving equations.

Check your summary:

- Do you describe how to make an estimate?
- Do you discuss ways to check answers to problems?
- Do you explain how to determine which quantity in a problem should be represented by the variable?

Complete this Self Check by yourself.

I am thinking of a number. When I add 7 and then multiply by 4, the result is 80. What is my number?

- Which of the following equations represent this problem? Select all that apply, and justify your choices.

*x *+ 28 = 80

4(*x *+ 7) = 80

4*x *+ 7 = 80

4*x *+ 28 = 80

- For each equation that you identified, find the value of
*x*and explain what it represents.

The numbers 5, 6, and 7 are examples of *consecutive numbers*—that is, each number follows the previous one.

Suppose three consecutive numbers are used in the following way to get a total. The first number plus two times the second number plus three times the third number equals the total.

- Which of the following expressions represent this situation? Select all that apply, and justify your choices.

Total = *x *+ 2*x *+ 3*x*

Total = *x *+ 2*x *+ 2 + 3*x *+ 6

Total = *x *+ 2(*x *+ 1) + 3(*x *+ 2)

Total = *x *+ (2*x *+ 1) + (3*x *+ 2)

- The total is 170. What are the three consecutive numbers? Explain your answer.

Write a reflection about the ideas discussed in class today. Use the sentence starter below if you find it to be helpful.

**Something I still don’t understand about writing equations to represent situations is …**