3.8 Solving by Elimination

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31 questions

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OBJECTIVES & STANDARDS
Math Objectives
Solve systems of linear equations by elimination
Compare solution methods for systems of linear equations
Common Core Math Standards
Link to all CCSS Math
CCSS.PRACTICE.MP4
CCSS.HSA.REI.A.1
CCSS.HSA.REI.B.3
CCSS.HSA.REI.C.5
Personal Finance Objectives
Make cost-benefit decisions
Plan and budget for near-term savings goals
National Standards for Personal Financial Education
Saving
9b: Identify strategies to manage psychological and emotional obstacles to saving
DISTRIBUTION & PLANNING
Distribute to students
Student Activity Packet
Application Problems

Instructions

OBJECTIVES & STANDARDS
Math Objectives
Solve systems of linear equations by elimination
Compare solution methods for systems of linear equations
Common Core Math Standards
Link to all CCSS Math
CCSS.PRACTICE.MP4
CCSS.HSA.REI.A.1
CCSS.HSA.REI.B.3
CCSS.HSA.REI.C.5
Personal Finance Objectives
Make cost-benefit decisions
Plan and budget for near-term savings goals
National Standards for Personal Financial Education
Saving
9b: Identify strategies to manage psychological and emotional obstacles to saving
DISTRIBUTION & PLANNING
Distribute to students
Student Activity Packet
Application Problems

Intro - Warm-Up

Learn It

Desmos! Card Sort: Linear Systems of Equations Go to Google Classroom for the Link :)

3.8 Solving by Elimination

3.8 Solving by Elimination

Why do you think the winning strategy is more effective than the others?

How can you compare these three savings strategies that all have different time frames?

Level 1

Choose whether you would use substitution, elimination, or both to solve the following systems of equations and why.
x - 2y = -7
2x + 5y = 8

Choose whether you would use substitution or elimination to solve the following systems of equations and why.
5x - 3y = 16
3x + 6y = 18

Choose whether you would use substitution or elimination to solve the following systems of equations and why.
x = 4y + 6
2x + y = 2

Choose whether you would use substitution or elimination to solve the following systems of equations and why.
2y = -4x - 14
2x + 10 = y

Which savings strategy is most effective:
Saving $5 per day?
Saving $35 per week?
Saving $150 per month?

Why do you think the winning strategy is more effective than the others?

How can you compare these three savings strategies that all have different time frames?

What do you notice about the amount saved per month for each of the three saving strategies?

What strategy saves the most in a year? How much does it save?

What do you think the results of this study say about how much saving has to do with math and how much saving has to do with your mindset?

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.
y = 2x + 1
y = 6 - 3x

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.
x + 3y = 7
2x + 3y = 11

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.
3x - 2y = -7
2x + 5y = 8

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.
3x - 2y = -7
2x + 5y = 8

Level 1

Would their wages be higher or lower if it actually took them 3 days of Leyla’s paper route and 5 days of Maryam’s dog walking job?

Choose whether you would use substitution, elimination, or both to solve the following systems of equations and why.
x - 2y = -7
2x + 5y = 8

Choose whether you would use substitution or elimination to solve the following systems of equations and why.
5x - 3y = 16
3x + 6y = 18

Choose whether you would use substitution or elimination to solve the following systems of equations and why.
x = 4y + 6
2x + y = 2

Choose whether you would use substitution or elimination to solve the following systems of equations and why.
2y = -4x - 14
2x + 10 = y

Which savings strategy is most effective:
Saving $5 per day?
Saving $35 per week?
Saving $150 per month?

What do you notice about the amount saved per month for each of the three saving strategies?

What strategy saves the most in a year? How much does it save?

What do you think the results of this study say about how much saving has to do with math and how much saving has to do with your mindset?

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.
y = 2x + 1
y = 6 - 3x

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.
x + 3y = 7
2x + 3y = 11

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.
3x - 2y = -7
2x + 5y = 8

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.
3x - 2y = -7
2x + 5y = 8

Would their wages be higher or lower if it actually took them 3 days of Leyla’s paper route and 5 days of Maryam’s dog walking job?

3.8 Solving by Elimination

3.8 Solving by Elimination

Why do you think the winning strategy is more effective than the others?

How can you compare these three savings strategies that all have different time frames?

Level 1

Choose whether you would use substitution, elimination, or both to solve the following systems of equations and why.x - 2y = -72x + 5y = 8

Choose whether you would use substitution or elimination to solve the following systems of equations and why.5x - 3y = 163x + 6y = 18

Choose whether you would use substitution or elimination to solve the following systems of equations and why.x = 4y + 62x + y = 2

Choose whether you would use substitution or elimination to solve the following systems of equations and why.2y = -4x - 142x + 10 = y

Which savings strategy is most effective: Saving $5 per day?Saving $35 per week?Saving $150 per month?

Why do you think the winning strategy is more effective than the others?

How can you compare these three savings strategies that all have different time frames?

What do you notice about the amount saved per month for each of the three saving strategies?

What strategy saves the most in a year? How much does it save?

What do you think the results of this study say about how much saving has to do with math and how much saving has to do with your mindset?

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.y = 2x + 1y = 6 - 3x

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.x + 3y = 72x + 3y = 11

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.3x - 2y = -72x + 5y = 8

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.3x - 2y = -72x + 5y = 8

Level 1

Would their wages be higher or lower if it actually took them 3 days of Leyla’s paper route and 5 days of Maryam’s dog walking job?

Choose whether you would use substitution, elimination, or both to solve the following systems of equations and why.x - 2y = -72x + 5y = 8

Choose whether you would use substitution or elimination to solve the following systems of equations and why.5x - 3y = 163x + 6y = 18

Choose whether you would use substitution or elimination to solve the following systems of equations and why.x = 4y + 62x + y = 2

Choose whether you would use substitution or elimination to solve the following systems of equations and why.2y = -4x - 142x + 10 = y

Which savings strategy is most effective: Saving $5 per day?Saving $35 per week?Saving $150 per month?

What do you notice about the amount saved per month for each of the three saving strategies?

What strategy saves the most in a year? How much does it save?

What do you think the results of this study say about how much saving has to do with math and how much saving has to do with your mindset?

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.y = 2x + 1y = 6 - 3x

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.x + 3y = 72x + 3y = 11

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.3x - 2y = -72x + 5y = 8

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.3x - 2y = -72x + 5y = 8

Would their wages be higher or lower if it actually took them 3 days of Leyla’s paper route and 5 days of Maryam’s dog walking job?

Choose whether you would use substitution, elimination, or both to solve the following systems of equations and why.
x - 2y = -7
2x + 5y = 8

Choose whether you would use substitution or elimination to solve the following systems of equations and why.
5x - 3y = 16
3x + 6y = 18

Choose whether you would use substitution or elimination to solve the following systems of equations and why.
x = 4y + 6
2x + y = 2

Choose whether you would use substitution or elimination to solve the following systems of equations and why.
2y = -4x - 14
2x + 10 = y

Which savings strategy is most effective:
Saving $5 per day?
Saving $35 per week?
Saving $150 per month?

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.
y = 2x + 1
y = 6 - 3x

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.
x + 3y = 7
2x + 3y = 11

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.
3x - 2y = -7
2x + 5y = 8

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.
3x - 2y = -7
2x + 5y = 8

Choose whether you would use substitution, elimination, or both to solve the following systems of equations and why.
x - 2y = -7
2x + 5y = 8

Choose whether you would use substitution or elimination to solve the following systems of equations and why.
5x - 3y = 16
3x + 6y = 18

Choose whether you would use substitution or elimination to solve the following systems of equations and why.
x = 4y + 6
2x + y = 2

Choose whether you would use substitution or elimination to solve the following systems of equations and why.
2y = -4x - 14
2x + 10 = y

Which savings strategy is most effective:
Saving $5 per day?
Saving $35 per week?
Saving $150 per month?

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.
y = 2x + 1
y = 6 - 3x

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.
x + 3y = 7
2x + 3y = 11

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.
3x - 2y = -7
2x + 5y = 8

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.
3x - 2y = -7
2x + 5y = 8