CW 5.2 Solving systems of equation by substitution

Main lesson objective:

Be able to write and solve systems of linear equations by substitution.

Understand there are 3 different methods to use.

Examples - 3 types

Different Methods

1

Explain, in your own words, the three methods explained in the videos above.

3

Which method would you use for each system of equation below?
You can use any method for any system but some lend themselves to a particular method.

Draggable item		Corresponding Item
		Method 1
		Method 2
		Method 3

1

Solve the systems of equations by substitution.
Check your solution.
Write your answer as an ordered pair (x, y)

1

Solve the systems of equations by substitution.
Check your solution.
Write your answer as an ordered pair (x, y)

1

Solve the systems of equations by substitution.
Check your solution.
Write your answer as an ordered pair (x, y)

1

Solve the systems of equations by substitution.
Check your solution.
Write your answer as an ordered pair (x, y)

Example

1

A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points.
Write a system of linear equations.
Use x and y as variables. separate each equation with a comma and space.
e.g 2x+3y=4, 5x+6y=7

1

A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points.
How many problems of each point value are on the test?
Solve the system of equations, write your answer as an ordered pair (x, y)
Check your solution.

1

An investor owns shares of Stock A and Stock B. The investor owns a total of 200 shares with a total value of $4000. Stock A costs $9.50 per share and Stock B costs $27.00 per share.
Write a system of linear equations.
Use x and y as variables. separate each equation with a comma and space.
e.g 2x+3y=4, 5x+6y=7

1

An investor owns shares of Stock A and Stock B. The investor owns a total of 200 shares with a total value of $4000. Stock A costs $9.50 per share and Stock B costs $27.00 per share.
How many shares of each stock does the investor own?
Solve the system of equations, write your answer as an ordered pair (x, y)
Check your solution.

1

Write a system of linear equations.
Use x and y as variables. separate each equation with a comma and space.
e.g 2x+3y=4, 5x+6y=7

1

Find the value of x.
Solve the system of equations, write your answer as an ordered pair (x, y)
Check your solution.

0

Reflect:
1. How well did you understand this lesson? Give yourself a rating out of 5
2. Could you explain this lesson to someone else?
3. Do you need extra help on this? Do you need to come to my extra help session?

CW 5.2 Solving systems of equation by substition

CW 5.2 Solving systems of equation by substitution

CW 5.2 Solving systems of equation by substition

CW 5.2 Solving systems of equation by substitution

Explain, in your own words, the three methods explained in the videos above.

Which method would you use for each system of equation below?
You can use any method for any system but some lend themselves to a particular method.

Solve the systems of equations by substitution.
Check your solution.
Write your answer as an ordered pair (x, y)

Solve the systems of equations by substitution.
Check your solution.
Write your answer as an ordered pair (x, y)

Solve the systems of equations by substitution.
Check your solution.
Write your answer as an ordered pair (x, y)

Solve the systems of equations by substitution.
Check your solution.
Write your answer as an ordered pair (x, y)

A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points.
Write a system of linear equations.
Use x and y as variables. separate each equation with a comma and space.
e.g 2x+3y=4, 5x+6y=7

A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points.
How many problems of each point value are on the test?
Solve the system of equations, write your answer as an ordered pair (x, y)
Check your solution.

Write a system of linear equations.
Use x and y as variables. separate each equation with a comma and space.
e.g 2x+3y=4, 5x+6y=7

Find the value of x.
Solve the system of equations, write your answer as an ordered pair (x, y)
Check your solution.

Reflect:
1. How well did you understand this lesson? Give yourself a rating out of 5
2. Could you explain this lesson to someone else?
3. Do you need extra help on this? Do you need to come to my extra help session?

Reflect:

1. How well did you understand this lesson? Give yourself a rating out of 5

2. Could you explain this lesson to someone else?

3. Do you need extra help on this? Do you need to come to my extra help session?

Explain, in your own words, the three methods explained in the videos above.

Which method would you use for each system of equation below?
You can use any method for any system but some lend themselves to a particular method.

Solve the systems of equations by substitution.
Check your solution.
Write your answer as an ordered pair (x, y)

Solve the systems of equations by substitution.
Check your solution.
Write your answer as an ordered pair (x, y)

Solve the systems of equations by substitution.
Check your solution.
Write your answer as an ordered pair (x, y)

Solve the systems of equations by substitution.
Check your solution.
Write your answer as an ordered pair (x, y)

A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points.
Write a system of linear equations.
Use x and y as variables. separate each equation with a comma and space.
e.g 2x+3y=4, 5x+6y=7

A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points.
How many problems of each point value are on the test?
Solve the system of equations, write your answer as an ordered pair (x, y)
Check your solution.

Write a system of linear equations.
Use x and y as variables. separate each equation with a comma and space.
e.g 2x+3y=4, 5x+6y=7

Find the value of x.
Solve the system of equations, write your answer as an ordered pair (x, y)
Check your solution.

Reflect:
1. How well did you understand this lesson? Give yourself a rating out of 5
2. Could you explain this lesson to someone else?
3. Do you need extra help on this? Do you need to come to my extra help session?

Reflect:

1. How well did you understand this lesson? Give yourself a rating out of 5

2. Could you explain this lesson to someone else?

3. Do you need extra help on this? Do you need to come to my extra help session?

CW 5.2 Solving systems of equation by substition

CW 5.2 Solving systems of equation by substitution

CW 5.2 Solving systems of equation by substition

CW 5.2 Solving systems of equation by substitution

Explain, in your own words, the three methods explained in the videos above.

Which method would you use for each system of equation below?You can use any method for any system but some lend themselves to a particular method.

Solve the systems of equations by substitution. Check your solution. Write your answer as an ordered pair (x, y)

Solve the systems of equations by substitution. Check your solution. Write your answer as an ordered pair (x, y)

Solve the systems of equations by substitution. Check your solution. Write your answer as an ordered pair (x, y)

Solve the systems of equations by substitution. Check your solution. Write your answer as an ordered pair (x, y)

A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points. Write a system of linear equations. Use x and y as variables. separate each equation with a comma and space. e.g 2x+3y=4, 5x+6y=7

A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points. How many problems of each point value are on the test?Solve the system of equations, write your answer as an ordered pair (x, y)Check your solution.

Write a system of linear equations. Use x and y as variables. separate each equation with a comma and space. e.g 2x+3y=4, 5x+6y=7

Find the value of x.Solve the system of equations, write your answer as an ordered pair (x, y)Check your solution.

Reflect:1. How well did you understand this lesson? Give yourself a rating out of 52. Could you explain this lesson to someone else?3. Do you need extra help on this? Do you need to come to my extra help session?

Reflect:

1. How well did you understand this lesson? Give yourself a rating out of 5

2. Could you explain this lesson to someone else?

3. Do you need extra help on this? Do you need to come to my extra help session?

Explain, in your own words, the three methods explained in the videos above.

Which method would you use for each system of equation below?You can use any method for any system but some lend themselves to a particular method.

Solve the systems of equations by substitution. Check your solution. Write your answer as an ordered pair (x, y)

Solve the systems of equations by substitution. Check your solution. Write your answer as an ordered pair (x, y)

Solve the systems of equations by substitution. Check your solution. Write your answer as an ordered pair (x, y)

Solve the systems of equations by substitution. Check your solution. Write your answer as an ordered pair (x, y)

A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points. Write a system of linear equations. Use x and y as variables. separate each equation with a comma and space. e.g 2x+3y=4, 5x+6y=7

A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points. How many problems of each point value are on the test?Solve the system of equations, write your answer as an ordered pair (x, y)Check your solution.

Write a system of linear equations. Use x and y as variables. separate each equation with a comma and space. e.g 2x+3y=4, 5x+6y=7

Find the value of x.Solve the system of equations, write your answer as an ordered pair (x, y)Check your solution.

Reflect:1. How well did you understand this lesson? Give yourself a rating out of 52. Could you explain this lesson to someone else?3. Do you need extra help on this? Do you need to come to my extra help session?

Reflect:

1. How well did you understand this lesson? Give yourself a rating out of 5

2. Could you explain this lesson to someone else?

3. Do you need extra help on this? Do you need to come to my extra help session?

Which method would you use for each system of equation below?
You can use any method for any system but some lend themselves to a particular method.

Solve the systems of equations by substitution.
Check your solution.
Write your answer as an ordered pair (x, y)

Solve the systems of equations by substitution.
Check your solution.
Write your answer as an ordered pair (x, y)

Solve the systems of equations by substitution.
Check your solution.
Write your answer as an ordered pair (x, y)

Solve the systems of equations by substitution.
Check your solution.
Write your answer as an ordered pair (x, y)

A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points.
Write a system of linear equations.
Use x and y as variables. separate each equation with a comma and space.
e.g 2x+3y=4, 5x+6y=7

A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points.
How many problems of each point value are on the test?
Solve the system of equations, write your answer as an ordered pair (x, y)
Check your solution.

Write a system of linear equations.
Use x and y as variables. separate each equation with a comma and space.
e.g 2x+3y=4, 5x+6y=7

Find the value of x.
Solve the system of equations, write your answer as an ordered pair (x, y)
Check your solution.

Reflect:
1. How well did you understand this lesson? Give yourself a rating out of 5
2. Could you explain this lesson to someone else?
3. Do you need extra help on this? Do you need to come to my extra help session?

Which method would you use for each system of equation below?
You can use any method for any system but some lend themselves to a particular method.

Solve the systems of equations by substitution.
Check your solution.
Write your answer as an ordered pair (x, y)

Solve the systems of equations by substitution.
Check your solution.
Write your answer as an ordered pair (x, y)

Solve the systems of equations by substitution.
Check your solution.
Write your answer as an ordered pair (x, y)

Solve the systems of equations by substitution.
Check your solution.
Write your answer as an ordered pair (x, y)

A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points.
Write a system of linear equations.
Use x and y as variables. separate each equation with a comma and space.
e.g 2x+3y=4, 5x+6y=7

A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points.
How many problems of each point value are on the test?
Solve the system of equations, write your answer as an ordered pair (x, y)
Check your solution.

Write a system of linear equations.
Use x and y as variables. separate each equation with a comma and space.
e.g 2x+3y=4, 5x+6y=7

Find the value of x.
Solve the system of equations, write your answer as an ordered pair (x, y)
Check your solution.

Reflect:
1. How well did you understand this lesson? Give yourself a rating out of 5
2. Could you explain this lesson to someone else?
3. Do you need extra help on this? Do you need to come to my extra help session?