MA.912.AR.9.1 · Linear Relationships

Writing and Solving Systems of Two Linear Equations: Sample Algebra 1 EOC Questions

Two conditions on two unknowns make a system, solved by substitution, elimination, or graphing. Students write the system from a real-world setup and find the point where both equations are true at once.

How the Algebra 1 EOC tests this benchmark

Systems on the EOC always have exactly two equations, and the answer may be one solution, no solution, or infinitely many, so recognizing parallel or identical lines is part of the benchmark. Equation editor items ask for one coordinate, graphic response items ask for the intersection point, and multiple choice items often ask which system models the story.

Skills students need

Write a system from a real-world context
Solve by substitution and by elimination
Solve a system graphically
Recognize no solution and infinitely many solutions

Try 6 real MA.912.AR.9.1 questions

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Question 1 of 6

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Question 1EasyMultiple Choice

A bake sale sold 30 items and collected $72. Cookies cost $2 each and brownies cost $3 each. Let

c

be the number of cookies and

b

be the number of brownies. Which system of equations represents this situation?

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More Algebra 1 linear relationships benchmarks

MA.912.AR.9.4

Graphing the Solution Set of a System of Inequalities

MA.912.AR.9.6

Constraints as Systems and Viable Solutions

MA.912.F.1.5

Comparing Key Features of Linear Functions