Two-Step Equations

Poll

Which Squirrel are you today?

Learning Target

​Our learning target today is to learn how to solve two step equations and apply them to real life situations.

​

​

​Agenda

1. ​Go over Vocabulary

2. ​I will demonstrate how to solve a two-step equation.

3. ​We will do a two step equation together.

4. ​You will be given a paper that has two equations on it and I want you to show your work on how you solved. You MAY use your notes I provided for you.

5. ​You will turn that paper into me before you leave class.

​Vocabulary that we will use

​

​Term: A single number or variable or a number and a varibale multiplied together.

​

​Coefficient: A number multiplied by a variable

​

​Constant: A value that does not change.

​

​Variable: A symbol for a number we dont know yet.

​

​How can two-step equations be used in real life?

​Example: By the Morehead City Park there is a pole building and that is where the Morehead Farmers Market sets up to sell locally grown produce. It cost $10 dollars to rent a spot at the farmers market and plus they charge $7 dollars for every hour you are there. I stayed long enough for them to charge me $31 dollars. How could we write a two step equation for this scenerio to find out how many hours I stayed there? Any predictions?

​

​

​

Our equation would look like this

​10+7(h)=31

​

​7(h) is our term

​

​The number 10 is our constant and represents the minimum cost for renting a spot.

​

​The number 7 is our coefficient represents the amount you have to pay every hour you are there.

​

​h represents our variable because its an unknow number of hours you stay. Because we aren't for sure how many hours woulf stay yet.

​

​31 equals the total amount of money you would pay for being there.

Solving

​So our equation is 10+7(h)=31

​

​

​

​

​Lets go through the steps on how to solve!

​Steps to Solve a Two Step Equation

1. Undo addition or subtraction (so do the opposite of what is being shown) to ​Isolate the variable on one side of the equation.

2. ​Make any operations (add, subtract, multiply, divide) the same on both sides of the equation. What you do on one side you must do to the other.

3. ​Ensure the coefficient of the isolated variable is positive one.

4. ​Check your solution!

Multiple Choice

10+7 (h) =31

​

​1) Whats my first step?

• Subtract 10 from itself and 31

• Add 10 to itself and 31

• Multiply 10 and 7

Multiple Choice

​

10+7(h)=31

What is h?

​

​

• 3

• 21

• 7

​Question??

​How can we check our answer?

​Another one..

During the winter you charge people $12 ​to shovel snow. You then charge them $9 for every hour you are there. If you made $57 that day how many hours did you spend at that one house?

​

Multiple Choice

What would our equation look like for this scenerio?

• 12+9 (h)=57

• 12-9 (h)=57

• 12(9)=57

​12+9 (h)=57 would be the correct equation.

​

​So what is our first step in solving this equation?

​

​How can we check our final answer?

Multiple Choice

What is the correct answer?

• 5

• 9

• 45

Show me what you know!

​I will now pass out this paper so that you can test yourself on how well you can do two-step equations. I want to see how well you can solve as well as how well you can apply them to real life so make sure you show me your work on question #2 and also show me how you checked your answer. Make sure you turn your papers into me before you leave. REMEMBER you CAN use your notes.