Three Ways to Solve a System Reference Sheet
Written by Adi Ackerman, Head Teacher
"Three Ways to Solve a System Reference Sheet" is written for 8th Grade (Ages 13-14). It also works a grade below or above, as a tool for a student who is ready for it or a quick refresher for an older one.
8th grade math resource: one system, 2x + y = 7 and x minus y = negative 1, solved by graphing, substitution and elimination, plus three cases. Part of our reference sheets systems of equations collection.
How do I use this resource?
Use the guided notes during instruction and keep the reference sheet in a notebook. The reference sheet also works as a check while students do the method sheets.
What students will practice
- Students will compare graphing, substitution and elimination on the same system.
- Students will check the solution (2, 3) in both equations.
- Students will review the cases of one, no and infinitely many solutions.
Solve Systems by Graphing, Slope-Intercept Pairs
Graph Systems Given in Standard Form
Graph Systems With Horizontal and Vertical Lines
Graph Systems With Fraction Slopes
Read System Solutions From Graphs
Read Solutions From Graphs and Write the System
Estimate Graph Solutions, Then Solve Exactly
Treasure Map Systems, Locate the Hidden Points
Curriculum Links
Find this in the curriculum
Browse the grade, subject, and topic this belongs to.
FAQ
How do I use the Three Ways to Solve a System Reference Sheet?
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Use the guided notes during instruction and keep the reference sheet in a notebook. The reference sheet also works as a check while students do the method sheets.
What is the Three Ways to Solve a System Reference Sheet?
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One system, 2x + y = 7 and x minus y = negative 1, solved by graphing, substitution and elimination, plus three cases.
Can I use the Three Ways to Solve a System Reference Sheet at home and in the classroom?
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Yes. We made it for 8th Grade systems of equations, and it works the same at home or at school. At home a student can print it and keep it with their school work. Teachers print a copy per student or one for the whole room, whichever the day needs.
What is on the three ways reference sheet?
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One system, 2x + y = 7 and x minus y = negative 1, solved by graphing, substitution and elimination, all giving (2, 3). It also shows the check and the three solution cases.
How are guided notes used?
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Students fill in key ideas, finish three worked examples, then solve one system with each method. The notes come with an answer key.
Do the reference sheets have answer keys?
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The guided notes have an answer key. The three ways reference sheet is a finished example, so it does not need one.
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Worksheet Details
| Grade | 8th Grade |
| Subject | Math |
| Topic | Systems of Equations |
| Pages | 1 page |
| Difficulty | Medium |
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Solve Systems by Graphing, Slope-Intercept Pairs
Graph Systems Given in Standard Form
Graph Systems With Horizontal and Vertical Lines
Graph Systems With Fraction Slopes
Read System Solutions From Graphs
Read Solutions From Graphs and Write the System
Estimate Graph Solutions, Then Solve Exactly
Treasure Map Systems, Locate the Hidden Points