1. Ch 10.3 – Writing 2-step Equations
MJ3
Ch 10.3 – Writing 2-step Equations

2. Bellwork
Solve the following
3 – 5y = -37
4 – d = 11
7 = -2n + 1

3. Assignment Review
Text p. 477 # 27 – 44

4. Before we begin… Please take out your notebook and get ready to work….
Ok…so far we have simplified and solved 2-step equations…
In today’s lesson we will learn how to write 2-step equations…
This can have application in the real world…for example…if you wanted to take out a loan…you will need to be able to figure how much and when the loan can be repaid…

5. 10.3 Objective
Students will write and solve 2-step equations.

6. Writing 2-step Equations
The key to writing 2 step equations is to know what the words mean…
In chapter 1 we look at English words and their meaning in math…
Let’s do a quick review of some of those words…

7. Words that mean Add or Subtract
Addition Subtraction
Plus
Minus
Increased by
Less
Subtract
Sum
In all
Less than
More than
Decreased by
Total
Difference

8. Words that mean Multiply or Divide
Multiply Divide
Divided
Times
Rate
Multiplied
Product
Quotient
Each
An, in, or per Of
Ratio
Factors
Separate

9. Writing 2-step Equations
The key or basic concept to writing 2-step equations is to identify the variable first…
The clue to identifying the variable are the words…”a number”
Let’s look at some examples…

10. Identify the variable Eight less than three times a number is -23
Thirteen is 7 more than twice a number
The quotient of a number and 4, decreased by1, is equal to 5
Fifteen equals three more than six times a number

11. Example Eight less than three times a number is -23
Ok…now that you have identified the variables…lets use that to write the equations
Eight less than three times a number is -23
Three times a number is the variable…write it as 3x
Less than means to subtract
Is means equal to
You get the equation
3x – 8 = - 23

12. Example Thirteen is 7 more than twice a number 13 = 2x + 7
Twice a number is the variable write it as 2x
More means to add
Thirteen is means = 13
You get the equation
13 = 2x + 7

13. Example Fifteen equals three more than six times a number 15 = 6n + 3
Six times a number is the variable – write it as 6n
More than means to add
Fifteen equals means = 15
You get the equation
15 = 6n + 3

14. Your Turn
In the notes section of your notebook write the sentence and then convert it to a 2-step equation
The difference between 12 and twice a number is 18
Three more than half a number is 15
Two more than 1/3 a number is 6

15. Comments Think about this…
Yesterday you learned how to solve 2-step equations
Today, you learned how to write them…
So naturally…we will take those two simple tasks and add complexity by combining them and having you write and solve 2-step equations….
Make no mistake about it…you will be expected to be able to write and solve 2-step equations!

16. Summary
In the notes section of your notebook summarize the key concepts covered in today’s lesson
Today we discussed:
Writing 2-step equations
What do you do first?
What is the clue?

17. Assignment Text p. 480 # 7 – 18 Reminder
This assignment is due tomorrow
You do not have to write the word problem
Make sure that you translate each word problem into an equation AND solve each equation.
You must show how you solved the equations or no credit!