solving_word_problems_by_writing_equations_1.ppt

math Equation conversion

2. Step Things to remember
What to do in the
equation
Step 1:
Step 2:
Step 3:
Step 4:

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

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. 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.
None!

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

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. 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.
None!

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

34. Step Things to remember
What to do in the
equation
Step 1: Identify
the variables
Variables represent values that
can change.
There may be one, two or
several in a word problem.
Write letters for the
variables that will help you
remember what they
represent
Step 2: Identify
the end result of
the situation.
The end result may be a variable
(if you don’t know the value) or a
number (if the value is given).
Put the end result after
the equal sign.
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.
Add or subtract the
constant(s).
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.
Multiply the rate of change
by the variable(s).