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SOLVING SYSTEMS

OF EQUATIONS

PARTNER WORKSHEETS

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SIDE A 1. 𝑥 + 𝑦 = 7

2𝑥 − 𝑦 = −13 2. 2𝑥 − 3𝑦 = −6

−4𝑥 + 𝑦 = −8 3. 3𝑥 + 4𝑦 = 2

𝑥 + 3𝑦 = −1 4. 5𝑥 + 2𝑦 = 8

3𝑥 − 𝑦 = −4 5. −2𝑥 + 3𝑦 = −7

5𝑥 + 2𝑦 = −11

SIDE B

1. 2𝑥 + 3𝑦 = 23−2𝑥 + 𝑦 = 13

2. 𝑥 + 4𝑦 = 19−3𝑥 + 2𝑦 = −1

3. 2𝑥 + 3𝑦 = 1

𝑥 + 2𝑦 = 0

4. 6𝑥 + 7𝑦 = 282𝑥 − 𝑦 = −4

5. 4𝑥 + 3𝑦 = −13−7𝑥 + 2𝑦 = 1

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SIDE C 1. 𝑦 = 𝑥

3𝑥 − 2𝑦 = 2 2. 𝑥 = 2𝑦 − 1

3𝑥 − 2𝑦 = 9 3. 𝑦 = 𝑥 + 3

−𝑥 + 4𝑦 = 9 4. 2𝑥 = 2𝑦 − 6

𝑥 + 3𝑦 = 9 5. 𝑦 = 𝑥 + 1

2𝑥 − 𝑦 = −4

SIDE D

1. 𝑥 = 𝑦4𝑥 − 3𝑦 = 2

2. 𝑥 = 3𝑦 − 42𝑥 − 4𝑦 = −2

3. 𝑦 = 2𝑥 + 4

3𝑥 − 𝑦 = −5

4. 3𝑥 = 3𝑦 − 92𝑥 + 𝑦 = 3

5. 𝑦 = 2𝑥 + 4−𝑥 + 𝑦 = 1

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These worksheets are designed for students to do while working with a partner. Each student should work independently to solve their own problem on their half of the worksheet. After finding their own answer, students should compare the answer they obtained with their partner’s answer. Each partner should get the same answer for each problem, although they solved a different system of equations. The teacher can allow the students to work together in a variety of ways. The teacher could cut apart each worksheet and only give each student half of the piece of paper and then allow them to compare at the end of the activity. Or, the teacher could give each set of two students one piece of paper. Then, the students could compare as soon as they are both done. Set A & B are probably best solved by using the elimination method. Set C & D are probably best solved by using substitution. ANSWERS: (worksheet with side A and B)

1. (-2, 9) 2. (3, 4) 3. (2, -1) 4. (0, 4) 5. (-1, -3)

(worksheet with side C and D)

1. (2, 2) 2. (5, 3) 3. (-1,2) 4. (0, 3) 5. (-3, -2)

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THANK YOU FOR PURCHASING THIS ACTIVITY. I HOPE YOU ENJOY IT! I welcome your comments and suggestions to enhance this project.   I would appreciate you leaving feedback for this activity on the Teachers Pay Teachers website. I also have a blog – please visit and follow if you are interested. http://teachinghighschoolmath.blogspot.com Jennifer Lamb Marian Catholic High School Chicago Heights, IL 60411 jlamb@marianchs.com