lesson 56 : onestep & twostep equation application...

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AMPs Lesson 56 Onestep and Twostep Equation Application Problems.notebook 1 January 24, 2020 Lesson 56 : OneStep & TwoStep Equation Application Problems OneStep Equation Word Problems   Require you to figure out the equation and then solve. > Ask yourself: – What do you know (write it down) – What do you need to know (the variable) – What operation will you need to complete. « Addition « Subtraction « Multiplication « Division

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Page 1: Lesson 56 : OneStep & TwoStep Equation Application Problemsmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/amps_less… · AMPs Lesson 56 Onestep and Twostep Equation Application

AMPs Lesson 5­6 One­step and Two­step Equation Application Problems.notebook

1

January 24, 2020

Lesson 5­6 : One­Step & Two­Step Equation Application Problems

• One­Step Equation Word Problems  ­ Require you to figure out the equation and then solve.> Ask yourself:– What do you know (write it down)– What do you need to know (the variable)– What operation will you need to complete.« Addition« Subtraction« Multiplication« Division

Page 2: Lesson 56 : OneStep & TwoStep Equation Application Problemsmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/amps_less… · AMPs Lesson 56 Onestep and Twostep Equation Application

AMPs Lesson 5­6 One­step and Two­step Equation Application Problems.notebook

2

January 24, 2020

Addition

• Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in?

Page 3: Lesson 56 : OneStep & TwoStep Equation Application Problemsmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/amps_less… · AMPs Lesson 56 Onestep and Twostep Equation Application

AMPs Lesson 5­6 One­step and Two­step Equation Application Problems.notebook

3

January 24, 2020

Addition

• Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in?

2 + x = 7

7 = 2 + x

Page 4: Lesson 56 : OneStep & TwoStep Equation Application Problemsmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/amps_less… · AMPs Lesson 56 Onestep and Twostep Equation Application

AMPs Lesson 5­6 One­step and Two­step Equation Application Problems.notebook

4

January 24, 2020

Subtraction

• After paying $5.12 for a salad, Nori has $27.10. How much money did he have before buying the salad?

Page 5: Lesson 56 : OneStep & TwoStep Equation Application Problemsmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/amps_less… · AMPs Lesson 56 Onestep and Twostep Equation Application

AMPs Lesson 5­6 One­step and Two­step Equation Application Problems.notebook

5

January 24, 2020

Subtraction

• After paying $5.12 for a salad, Nori has $27.10. How much money did he have before buying the salad?

x ­ 5.12 = 27.10

Page 6: Lesson 56 : OneStep & TwoStep Equation Application Problemsmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/amps_less… · AMPs Lesson 56 Onestep and Twostep Equation Application

AMPs Lesson 5­6 One­step and Two­step Equation Application Problems.notebook

6

January 24, 2020

Multiplication

• How many packages of diapers can you buy with $40 if one package costs $8?  

Page 7: Lesson 56 : OneStep & TwoStep Equation Application Problemsmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/amps_less… · AMPs Lesson 56 Onestep and Twostep Equation Application

AMPs Lesson 5­6 One­step and Two­step Equation Application Problems.notebook

7

January 24, 2020

Multiplication

• How many packages of diapers can you buy with $40 if one package costs $8?  

8x = 40

40 = 8x

Page 8: Lesson 56 : OneStep & TwoStep Equation Application Problemsmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/amps_less… · AMPs Lesson 56 Onestep and Twostep Equation Application

AMPs Lesson 5­6 One­step and Two­step Equation Application Problems.notebook

8

January 24, 2020

Division

•  At a restaurant, Mike and his three friends decided to divide the bill evenly. If each person paid $13 then what was the total bill?

Page 9: Lesson 56 : OneStep & TwoStep Equation Application Problemsmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/amps_less… · AMPs Lesson 56 Onestep and Twostep Equation Application

AMPs Lesson 5­6 One­step and Two­step Equation Application Problems.notebook

9

January 24, 2020

Division

•  At a restaurant, Mike and his three friends decided to divide the bill evenly. If each person paid $13 then what was the total bill?

x/4 = 13

Page 10: Lesson 56 : OneStep & TwoStep Equation Application Problemsmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/amps_less… · AMPs Lesson 56 Onestep and Twostep Equation Application

AMPs Lesson 5­6 One­step and Two­step Equation Application Problems.notebook

10

January 24, 2020

Lesson 2­5 ﴾day 2﴿ : One­Step and Two­Step Equation Word Problems

• Two­Step Equation Word Problems  ­ Require a similar, but more complex, process to solve than one­step equations. > Some ways they may be set up:

2(p+3) = 22 c­2  = 2   3

v + 4 = 112

49 = 2s +1

Page 11: Lesson 56 : OneStep & TwoStep Equation Application Problemsmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/amps_less… · AMPs Lesson 56 Onestep and Twostep Equation Application

AMPs Lesson 5­6 One­step and Two­step Equation Application Problems.notebook

11

January 24, 2020

• The Cooking Club made some pies to sell at a basketball game to raise money for the new math books. The cafeteria contributed two pies to the sale. Each pie was then cut into 6 pieces to sell. There were 48 slices. How many pies did the club make?

Page 12: Lesson 56 : OneStep & TwoStep Equation Application Problemsmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/amps_less… · AMPs Lesson 56 Onestep and Twostep Equation Application

AMPs Lesson 5­6 One­step and Two­step Equation Application Problems.notebook

12

January 24, 2020

• The Cooking Club made some pies to sell at a basketball game to raise money for the new math books. The cafeteria contributed two pies to the sale. Each pie was then cut into 6 pieces to sell. There were 48 slices. How many pies did the club make?

6(p+2) = 48

Page 13: Lesson 56 : OneStep & TwoStep Equation Application Problemsmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/amps_less… · AMPs Lesson 56 Onestep and Twostep Equation Application

AMPs Lesson 5­6 One­step and Two­step Equation Application Problems.notebook

13

January 24, 2020

• On Tuesday, DeShawn bought eight hats. On Wednesday, half of all the hats that he had were destroyed. On Thursday, there were only 22 left. How many did he have on Monday?

Page 14: Lesson 56 : OneStep & TwoStep Equation Application Problemsmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/amps_less… · AMPs Lesson 56 Onestep and Twostep Equation Application

AMPs Lesson 5­6 One­step and Two­step Equation Application Problems.notebook

14

January 24, 2020

• On Tuesday, DeShawn bought eight hats. On Wednesday, half of all the hats that he had were destroyed. On Thursday, there were only 22 left. How many did he have on Monday?

 x+8 = 222

Page 15: Lesson 56 : OneStep & TwoStep Equation Application Problemsmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/amps_less… · AMPs Lesson 56 Onestep and Twostep Equation Application

AMPs Lesson 5­6 One­step and Two­step Equation Application Problems.notebook

15

January 24, 2020

• Jenny spent half of her weekly allowance buying pizza. To earn more money, her parents let her wash the dog for $7. What is her weekly allowance if she ended with $16?

Page 16: Lesson 56 : OneStep & TwoStep Equation Application Problemsmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/amps_less… · AMPs Lesson 56 Onestep and Twostep Equation Application

AMPs Lesson 5­6 One­step and Two­step Equation Application Problems.notebook

16

January 24, 2020

• Jenny spent half of her weekly allowance buying pizza. To earn more money, her parents let her wash the dog for $7. What is her weekly allowance if she ended with $16?

 a  + 7 = 162

Page 17: Lesson 56 : OneStep & TwoStep Equation Application Problemsmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/amps_less… · AMPs Lesson 56 Onestep and Twostep Equation Application

AMPs Lesson 5­6 One­step and Two­step Equation Application Problems.notebook

17

January 24, 2020

• Imani won 61 pieces of gum playing hoops at her school's game night. Later, she gave two to each of her friends. She only has 1 remaining. How many friends does she have? 

Page 18: Lesson 56 : OneStep & TwoStep Equation Application Problemsmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/amps_less… · AMPs Lesson 56 Onestep and Twostep Equation Application

AMPs Lesson 5­6 One­step and Two­step Equation Application Problems.notebook

18

January 24, 2020

• Imani won 61 pieces of gum playing hoops at her school's game night. Later, she gave two to each of her friends. She only has 1 remaining. How many friends does she have? 

61 ­ 2f = 1

Page 19: Lesson 56 : OneStep & TwoStep Equation Application Problemsmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/amps_less… · AMPs Lesson 56 Onestep and Twostep Equation Application

AMPs Lesson 5­6 One­step and Two­step Equation Application Problems.notebook

19

January 24, 2020

The Sum of Consecutive Numers

Consecutive ­ in order.

4, 5, 6 are consecutive integers.

Consecutive odd numbers means odd numbers in order, such as 7, 9, 11.

Consecutive even numbers means even numbers in order, such as 4, 6, 8 

Page 20: Lesson 56 : OneStep & TwoStep Equation Application Problemsmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/amps_less… · AMPs Lesson 56 Onestep and Twostep Equation Application

AMPs Lesson 5­6 One­step and Two­step Equation Application Problems.notebook

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January 24, 2020

The Sum of Consecutive Numers

1. The sum of three consecutive integers is 9. Write an equation to find the integers.

We don't know the first number, so let's call it "x".

x plus 1 more will give us the second number. x plus 2 more will give us the third number.

x + (x+1) + (x+2) = 9 

This could also be: 

3x + 3 = 9

Page 21: Lesson 56 : OneStep & TwoStep Equation Application Problemsmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/amps_less… · AMPs Lesson 56 Onestep and Twostep Equation Application

AMPs Lesson 5­6 One­step and Two­step Equation Application Problems.notebook

21

January 24, 2020

The Sum of Consecutive Numers

2. The sum of three consecutive integers is 261. What are the three integers?

 

3. The sum of three consecutive odd numbers is 75. What is the greatest integer?