CW 5.2 Solving systems of equation by substition

Last updated over 4 years ago
13 questions

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 itemCorresponding 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?