Day 1:Five minute check 3 - 4

Prepare to take Cornell Notes

AGENDA/ACTIVITIES Monday ( Work Backwards) Crystal Ball: This week we will be solving 2 step equations such as 3x + 5 = 8, how do you think the 0ne step strategy will help you solve two – step equations? 2-3 questions put in left column of notes.

Solve this real life situation using a variable. A car repair shop charges a service charge of $150 to go to your vehicle to get it started. The service person on the call charges an additional $60 per hour for labor. If h stands for the number of hours of labor, which expression below can the company use to compute the charge for the service call? a) 150 h + 60 b) 150 + 60h c) 150h 60 d) 90h

A car repair shop charges a service charge of $150 to go to your vehicle to get it started. The service person on the call charges an additional $30 per hour for labor. If h stands for the number of hours of labor, which expression below can the company use to compute the charge for the service call? b) 150 + 60h Now say the problem is 150 + 60h = 450 What is h ?

We are going to party today, starting out doing the two step for a bit We are going to party today, starting out doing the two step for a bit! Everybody out of your seat and get ready to dance! Just like the two step dance we do Math equations that have two or more steps so lets learn how to do them now.

I can create and solve 2-step equations using inverse operations and express my thinking orally.

A two Step equation is simply an equation that requires two steps to solve it.

Example 3h + 4 = 16 *Get the Variable by itself- when doing that know that addition and subtraction always come before multiplication and subtraction. - 4 = - 4 3h = 12 3h / 3 = 12 / 3 h = 4

Solving 2-Step Variable Equations

What??? I just learned 1-step! Relax. You’ll use what you already know to solve 2-step equations.

So, what’s first? You need to break up the equation into its two steps.

STEP 1 The first step will always be either adding or subtracting. + -

÷ • STEP 2 The second step will always be either multiplying or dividing. ÷ •

8x + 5 = 61 - 5 - 5 = 56 8x Let’s try a problem. This problem has addition, so we need to subtract first. Whatever we do on one side, we have to do on the other. = 56 8x

Now, Step 2. 8x = 56 Whatever we do on one side, we have to do on the other. This problem has multiplication, so we need to divide now. 8 8 x 7 =

Let’s try another problem. + 8 + 8 This problem has subtraction, so we need to add first. Whatever we do on one side, we have to do on the other. = 12 3a

Now, Step 2. 3a = 12 Whatever we do on one side, we have to do on the other. This problem has multiplication, so we need to divide now. 3 3 a 4 =

Now you try some problems. Copy these problems onto a piece of paper. Break each problem into 2 parts to solve. Show all your work! 12t – 6 = 90 7f + 5 = 40 5q – 7 = 13 4y + 8 = -12

Summarize with these questions. 1. What are equations? How can you use key words in a word problem to create an algebraic 2- step equation? 2. What is a 2-step algebraic equation? How do you solve them?

2 Step equations 21

Bell Work 2x + 4x – 3 5n - 4 + 9n -4j – 6 + 8 7p + 3p + 4 + 10 -6 + 2w – 12 – 3w 22

Bell Work Answers 2x + 4x – 3 6x – 3 5n - 4 + 9n 14n – 4 -4j – 6 + 8 -4j + 2 7p + 3p + 4 + 10 10p + 14 -6 + 2w – 12 – 3w -w – 18 23

Objective I can create and solve 2-step equations using inverse operations and express my thinking orally. 24

Fill in the Blank Vocabulary Equations are mathematical ____________ that contain an _________ sign. Addition and Subtraction are _____________ operations. Multiplication and Division are ______________ operations. A ___________ represents a number we don’t know. ______________ are numbers that don’t have variables stuck to them that are added or subtracted in our equation. 25

Fill in the Blank Vocabulary Equations are mathematical sentences that contain an equals sign. Addition and Subtraction are inverse operations. Multiplication and Division are inverse operations. A variable represents a number we don’t know. Constants are numbers that don’t have variables stuck to them that are added or subtracted in our equation. 26

Concept 2 step equations always follow a pattern. Just like putting socks and shoes on. Addition and Subtraction are ALWAYS undone first!! Then undo multiplication or division second. 27

Example 1 3x + 5 = 17 28

Example 1 3x + 5 = 17 29

Example 1 3x + 5 = 17 - 5 - 5 30

Example 1 3x + 5 = 17 - 5 - 5 3x = 12 31

Example 1 3x + 5 = 17 - 5 - 5 3x = 12 3 3 32

Example 1 3x + 5 = 17 - 5 - 5 3x = 12 3 33

Example 1 3x + 5 = 17 - 5 - 5 3x = 12 3 3 x = 4 34

Example 1 3x + 5 = 17 - 5 - 5 3x = 12 3 3 x = 4 x = 4 35

Check the answer 3x + 5 = 17 3(4) + 5 = 17 36

Check the answer 3x + 5 = 17 3(4) + 5 = 17 12 + 5 = 17 37

Check the answer 3x + 5 = 17 3(4) + 5 = 17 12 + 5 = 17 17 = 17 38

3x + 5 = 17 3(4) + 5 = 17 12 + 5 = 17 17 = 17 Our answer is correct! Check the answer 3x + 5 = 17 3(4) + 5 = 17 12 + 5 = 17 17 = 17 Our answer is correct! 39

2 step equations with combining 2g + 4 + 3g = 29 2g + 3g + 4 = 29 5g + 4 = 29 40

2 step equations with combining 2g + 4 + 3g = 29 2g + 3g + 4 = 29 5g + 4 = 29 41

2 step equations with combining 2g + 4 + 3g = 29 2g + 3g + 4 = 29 5g + 4 = 29 - 4 - 4 42

2 step equations with combining 2g + 4 + 3g = 29 2g + 3g + 4 = 29 5g + 4 = 29 - 4 - 4 5g = 25 43

2 step equations with combining 2g + 4 + 3g = 29 2g + 3g + 4 = 29 5g + 4 = 29 - 4 - 4 5g = 25 5 5 g = 5 44

2 step equations with combining 2g + 4 + 3g = 29 2g + 3g + 4 = 29 5g + 4 = 29 - 4 - 4 5g = 25 5 5 g = 5 45

2 step equations with combining 2g + 4 + 3g = 29 2g + 3g + 4 = 29 5g + 4 = 29 - 4 - 4 5g = 25 5 5 g = 5 46

20 Questions Step 1: Get out a piece of paper Step 2: Fold the paper in half Step 3: Fold the paper in half again Step 4: Fold the paper again Step 5: Fold the paper one more time. 47

20 Questions On these cards are 36 questions. I will put one on each desk. Start by doing the problem on your desk. LEAVE this card at your desk! After 1 minute, everyone needs to switch desks and find a new card and do that problem. 48

20 Questions When an entire side of your paper is full, turn your paper over and continue doing problems NO CHEATING! 49

Now you try some problems. Copy these problems onto your board. Break each problem into 2 parts to solve. Show all your work! 4t – 5 = 35 2f + 4 = 60 6q – 2 = 10 -3y + 7 = -14

I can create and solve 2-step equations using inverse operations and express my thinking orally.

A two Step equation is simply an equation that requires two steps to solve it.

Solving Linear Equations Activity You will be in groups of 3-4 . Read as a group the rules for the activity. You will have 15 minutes to find the correct steps for each equation. Work as a team! Every one is required to participate!

Daily Quiz

I can create and solve 2-step equations using inverse operations and express my thinking orally.

A two Step equation is simply an equation that requires two steps to solve it.

Students review solving basic two-step equations by playing a class game of football.    

On the board is a football field and a football magnet to keep score On the board is a football field and a football magnet to keep score. The class will divide into two teams and take turns answering questions from the PowerPoint.

The football starts in the middle of the field The football starts in the middle of the field.  If the team gets their question right, the ball advances toward their goal.  If they get their question wrong, the ball advances toward the other team's goal.

First one to their goal wins! All students will work out the problems on their white boards if both partners agree then flip your boards.

MATH FOOTBALL Algebra Review

Solve for the variable!

Solve for the variable! 5.5 = -.5x + .5

Solve for the variable!

Solve for the variable!

Solve for the variable!

Solve for the variable!

Solve for the variable! 4/5y + (-25) = 105

Solve for the variable!

Solve for the variable!

Solve for the variable! Because you are a Red Cross certified babysitter you charge $6 per hour, plus an additional $5 to reserve the date. Friday night, you earned $41 for babysitting. How many hours did you work?

Solve for the variable!

Solve for the variable!

Solve for the variable! 8/3x - 3 = 15

Solve for the variable! Birdie saved $39 so she could take her friends to the movies. It cost $8 for a ticket, plus she spent $7 for popcorn and candy. How many tickets did she buy?

Solve for the variable!

Solve for the variable!

Give me an example of a CONSTANT that LOOKS LIKE a VARIABLE

Solve for the variable!

Solve for the variable!

Combine like terms!

Solve for the variable!

Solve for the variable!

Solve for the variable!

Solve for the variable!

Solve for the variable!

What is the definition of a variable?

Solve for the variable!

What is the coefficient of 3m ?

Solve for the variable!

Solve for the variable!

Solve for the variable!

Solve for the variable!

Solve for the variable!

Combine like terms!

Solve for the variable!

Solve for the variable!

Combine like terms!

Solve for the variable!

Solve for the variable!

Solve for the variable!

How many TERMS are in the expression

Solve for the variable!

Combine like terms!

Combine like terms!

What is the coefficient of x ?

Glencoe Main Idea 3 – 5 Review

I can create and solve 2-step equations using inverse operations and express my thinking orally.

A two Step equation is simply an equation that requires two steps to solve it.

You charge $8 per hour to mow the golf course, plus an additional $7 for gas. Monday, you earned $63. How many hours did you work?

Solve for x. 4/5x - 5 = 20

Karla saved $577 so she could take her friends to the One Directions’ concert in L.A.. It cost $122 for a ticket, plus she spent $89 for the motel room to stay the night. How many tickets did she buy?

Solve for y. 2/3 + (-12) = 106

Solve for x. 6.6 = -.6x + .6

Assessment time!