Building Linear Equations from Word Problems

1. Building Linear Equations from Word Problems

3. A family daycare center charges a $75 enrollment fee and $100 per week. Write an equation for the total cost over time.

4. A family daycare center charges a $75 enrollment fee and $100 per week. Write an equation for the total cost over time. Step 1: Identify the variables • Variables represent values that can change. • There may be one, two or several in a word problem.

5. A family daycare center charges a $75 enrollment fee and $100 per week. Write an equation for the total cost over time. W Write letters for the variables that will help you remember what they represent.

6. A family daycare center charges a $75 enrollment fee and $100 per week. Write an equation for the total cost over time. W T Write letters for the variables that will help you remember what they represent.

7. A family daycare center charges a $75 enrollment fee and $100 per week. Write an equation for the total cost over time. Step 2: Identify the end result of the situation. • This may be a variable (if you don’t know the value) or a number (if the value is given).

8. A family daycare center charges a $75 enrollment fee and $100 per week. Write an equation for the total cost over time. W T Put the end result after the equal sign.

9. A family daycare center charges a $75 enrollment fee and $100 per week. Write an equation for the total cost over time. W = T Put the end result after the equal sign.

10. A family daycare center charges a $75 enrollment fee and $100 per week. Write an equation for the total cost over time. Step 3: Identify any constants. • A constant is a value that will stay the same no matter what the variables are. • Figure out if the constant is being added to or subtracted from the total.

11. A family daycare center charges a $75 enrollment fee and $100 per week. Write an equation for the total cost over time. W + 75 = T Add or subtract the constant(s).

12. A family daycare center charges a $75 enrollment fee and $100 per week. Write an equation for the total cost over time. Step 4: Identify the rate(s) of change. • The rate of change is how much the total will change each time the variable changes. • In a linear equation, the rate of change will remain steady.

13. A family daycare center charges a $75 enrollment fee and $100 per week. Write an equation for the total cost over time. 100 * W + 75 = T Multiply the rate of change by the variable(s).

14. A family daycare center charges a $75 enrollment fee and $100 per week. Write an equation for the total cost over time. 100 * W + 75 = T You have built an equation!!

15. Next problem: The daycare center down the street charges no enrollment fee, but $110 per week. Write an equation for the total cost over time.

16. The daycare center down the street charges no enrollment fee, but $110 per week. Write an equation for the total cost over time. Step 1: Identify the variables

17. The daycare center down the street charges no enrollment fee, but $110 per week. Write an equation for the total cost over time. W T Step 1: Identify the variables

18. The daycare center down the street charges no enrollment fee, but $110 per week. Write an equation for the total cost over time. W T Step 1: Identify the variables. Step 2: Identify the end result of the situation

19. The daycare center down the street charges no enrollment fee, but $110 per week. Write an equation for the total cost over time. W = T Step 1: Identify the variables. Step 2: Identify the end result of the situation

20. The daycare center down the street charges no enrollment fee, but $110 per week. Write an equation for the total cost over time. W = T Step 1: Identify the variables. Step 2: Identify the end result of the situation Step 3: Identify any constants.

21. None! The daycare center down the street charges no enrollment fee, but $110 per week. Write an equation for the total cost over time. W = T Step 1: Identify the variables. Step 2: Identify the end result of the situation Step 3: Identify any constants.

22. The daycare center down the street charges no enrollment fee, but $110 per week. Write an equation for the total cost over time. W = T Step 1: Identify the variables. Step 2: Identify the end result of the situation Step 3: Identify any constants. Step 4: Identify the rate(s) of change.

23. The daycare center down the street charges no enrollment fee, but $110 per week. Write an equation for the total cost over time. 110 * W = T Step 1: Identify the variables. Step 2: Identify the end result of the situation Step 3: Identify any constants. Step 4: Identify the rate(s) of change.

24. The daycare center down the street charges no enrollment fee, but $110 per week. Write an equation for the total cost over time. 110 * W = T You have built another equation!!

25. Naima and her friends have $40 to spend at the movie theater. Each large popcorn costs $5 and each small soda costs $2. Write an equation for the number of snacks she can buy with the money she has.

26. Naima and her friends have $40 to spend at the movie theater. Each large popcorn costs $5 and each small soda costs $2. Write an equation for the number of snacks she can buy with the money she has. Step 1: Identify the variables

27. Naima and her friends have $40 to spend at the movie theater. Each large popcorn costs $5 and each small soda costs $2. Write an equation for the number of snacks she can buy with the money she has. P S Step 1: Identify the variables

28. Naima and her friends have $40 to spend at the movie theater. Each large popcorn costs $5 and each small soda costs $2. Write an equation for the number of snacks she can buy with the money she has. P S Step 1: Identify the variables. Step 2: Identify the end result of the situation

29. Naima and her friends have $40 to spend at the movie theater. Each large popcorn costs $5 and each small soda costs $2. Write an equation for the number of snacks she can buy with the money she has. P S = 40 Step 1: Identify the variables. Step 2: Identify the end result of the situation

30. None! Naima and her friends have $40 to spend at the movie theater. Each large popcorn costs $5 and each small soda costs $2. Write an equation for the number of snacks she can buy with the money she has. P S = 40 Step 1: Identify the variables. Step 2: Identify the end result of the situation Step 3: Identify any constants.

31. Naima and her friends have $40 to spend at the movie theater. Each large popcorn costs $5 and each small soda costs $2. Write an equation for the number of snacks she can buy with the money she has. P S = 40 Step 1: Identify the variables. Step 2: Identify the end result of the situation Step 3: Identify any constants. Step 4: Identify the rate(s) of change.

32. Naima and her friends have $40 to spend at the movie theater. Each large popcorn costs $5 and each small soda costs $2. Write an equation for the number of snacks she can buy with the money she has. 5 * P 2 * S = 40 Step 1: Identify the variables. Step 2: Identify the end result of the situation Step 3: Identify any constants. Step 4: Identify the rate(s) of change.

33. Naima and her friends have $40 to spend at the movie theater. Each large popcorn costs $5 and each small soda costs $2. Write an equation for the number of snacks she can buy with the money she has. 5 * P + 2 * S = 40 You are an equation building expert!!