CCSS.Math.Content.8.EE.C
The standard
Analyze and solve linear equations and pairs of simultaneous linear equations.
Common Core State Standards for Mathematics
What this standard means
Students need to solve one-variable linear equations and systems of two linear equations. They should use inverse operations, combine like terms, apply the distributive property, and keep equations balanced. For systems, they need to find the ordered pair that makes both equations true, using graphs, tables, substitution, or elimination.
Mastery looks like choosing an efficient method, showing clean steps, and checking the answer in the original equations. Students often get stuck with negative signs, distributing across parentheses, moving terms across the equal sign, and understanding that a system’s solution is one point, not two separate answers.
Ways to teach it
- Hands-on activity: Use algebra tiles or paper balance mats to model solving 3x + 2 = 14, then record matching equation steps.
- Discussion or writing prompt: Explain why the point where two lines cross is the solution to both equations.
- Quick assessment: Give three systems and ask students to label each as one solution, no solution, or infinitely many solutions.
- Real-world connection: Compare two phone plans with a monthly fee and per-gigabyte cost, then find when the plans cost the same.
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Related standards
- CCSS.Math.Content.8.EE.C.8
Analyze and solve pairs of simultaneous linear equations.
- CCSS.Math.Content.8.EE.C.8c
Solve real-world and mathematical problems leading to two linear equations in two variables.
- CCSS.Math.Content.HSA-REI.C.6
Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
- CCSS.Math.Content.HSA-REI.B.3
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.