Building Linear Equations from Word Problems
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Transcript of Building Linear Equations from Word Problems
![Page 1: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/1.jpg)
![Page 2: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/2.jpg)
Step Things to rememberWhat to do in the
equation
Step 1:
Step 2:
Step 3:
Step 4:
![Page 3: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/3.jpg)
A family daycare center charges a $75 enrollment fee and $100
per week. Write an equation for the total cost over time.
![Page 4: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/4.jpg)
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.
![Page 5: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/5.jpg)
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.
![Page 6: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/6.jpg)
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.
![Page 7: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/7.jpg)
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).
![Page 8: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/8.jpg)
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.
![Page 9: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/9.jpg)
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.
![Page 10: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/10.jpg)
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.
![Page 11: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/11.jpg)
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).
![Page 12: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/12.jpg)
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.
![Page 13: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/13.jpg)
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).
![Page 14: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/14.jpg)
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
![Page 15: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/15.jpg)
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.
![Page 16: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/16.jpg)
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
![Page 17: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/17.jpg)
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
![Page 18: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/18.jpg)
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
![Page 19: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/19.jpg)
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
![Page 20: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/20.jpg)
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.
![Page 21: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/21.jpg)
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!
![Page 22: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/22.jpg)
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.
![Page 23: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/23.jpg)
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.
![Page 24: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/24.jpg)
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
![Page 25: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/25.jpg)
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.
![Page 26: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/26.jpg)
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
![Page 27: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/27.jpg)
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
![Page 28: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/28.jpg)
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
![Page 29: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/29.jpg)
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
![Page 30: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/30.jpg)
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!
![Page 31: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/31.jpg)
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.
![Page 32: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/32.jpg)
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.
![Page 33: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/33.jpg)
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
![Page 34: Building Linear Equations from Word Problems](https://reader035.fdocuments.us/reader035/viewer/2022062321/56812cfb550346895d91cda4/html5/thumbnails/34.jpg)
Step Things to rememberWhat 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).