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Understanding Value

1.1.1 Understanding Value

1.1.1 • Understanding Value

Warm Up

Here are some letters and what they represent. All costs are in dollars.

  • mm represents the cost of a main dish.
  • nn represents the number of side dishes.
  • ss represents the cost of a side dish.
  • tt represents the total cost of a meal.

For questions 1 – 4, discuss what each equation means with a partner. Then, describe the situation in words.

1.

m = 7.50 m = 7.50

Compare your answer:

A main dish costs $7.50.

2.

m = s + 4.50 m = s + 4.50

Compare your answer:

Your answer may vary, but here are some examples.

  • The cost of a main dish is the cost of the side dish plus $4.50.
  • The cost of a main dish is $4.50 more than the cost of a side dish.
3.

n s = 6 n s = 6

Compare your answer:

The number of side dishes times the cost of the side dish is $6$6.

4.

m + n s = t m + n s = t

Compare your answer:

The main dish added to the quantity of the number of side dishes times the cost of the side dish represents the total cost of the meal.

5.

Write a new equation that could be true in this same situation.

Compare your answer:

Your answer may vary, but here are some examples.

  • m=2m=2
  • m−s=4.5m−s=4.5
  • m+6=13.5m+6=13.5
6.

Describe what your new equation means in words.

Compare your answer:

Your answer may vary, but here are some examples.

  • The main dish costs $2$2.
  • The difference in cost between the main dish and a side dish is $4.50$4.50.
  • $13.50$13.50 is the cost of the main dish and a $6$6 tip.