# Lesson: I & We: Systems of Equations Word Problems

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### Lesson Objective

Students translate words in systems of equations and solve using substitution.

### Lesson Plan

Materials:

Printed example/practice problems http://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Systems%20of%20Equations%20Word%20Problems.pdf

Index cards

Colored Pencils

Computer with internet access

Standards:

Algebra 9.0 Students solve a system of two linear equations in two variables algebraically

and are able to interpret the answer graphically. Students are able to solve a

system of two linear inequalities in two variables and to sketch the solution sets.

Anticipatory Set:

Review how to solve systems of equations. Play this game briefly with the class.

http://www.crctlessons.com/systems-of-equations-game.html

Input:

Chart on board with key words "less than", "increased", "twice," etc.

model of 3-5 problems translation (basic)   model of 3-5 problems translation (medium)

 + - * / Addition Subtraction Multiplication Division Increase More than* Plus, etc.

Remind students that we are looking for TWO problems, but they are going to share two variables.

First, come up with two variables, underline the words with which they correspond.

Then, look for anything that “IS” of “EQUALS” and position it correctly in each equation.

Then, fill in any other information we have.

Guided Practice:

Guide students through translating the problems. Be aware that the problems generally increase in difficult, although often there are two similar back-to-back, so it helps to do one example and then push for more student leadership in the next example. Remind students of the need to rearrange many equations before the “individual” and the “family” can be separated clearly.

Leave translated problems unsolved for the time being.

Independent Practice:

Students solve systems of equations and switch with a neighbor to check. Students discuss any discrepancies.

Conclusion/Assessment:

Exit Ticket/Have students solve this problem on a piece of paper and check percentage of correct answers:

The sum of two numbers is 2. Their difference is 4. What are the numbers?

### Lesson Resources

 SystemsofEqWPLesson.docx 1,178