Solve systems of two linear equations in two variables algebraically
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
**8.EE.C.8.b**: Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
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8.EE.C.8.b: Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
What you'll learn
- Solve a system of two linear equations using the substitution method by isolating one variable in one equation and substituting the resulting expression into the other equation
- Solve a system of two linear equations using the elimination method by adding or subtracting equations (with multiplication if needed) to eliminate one variable
- Determine by inspection whether a system of two linear equations has no solution or infinitely many solutions by comparing the structure of the equations
- Estimate the solution of a system by graphing both equations and identifying the approximate point of intersection
- Verify a solution to a system by substituting the values of both variables into both original equations and confirming that both equations are satisfied
Slides
Step through the lesson, or watch it as a narrated video • 2 slide decks
Substitution and elimination
✓ Start hereInspection and choosing
Practice
Try it on your own • 4 practice sets
Animated Videos
Short animated explanations of the key idea • 4 animated videos