Unit 4

Systems of Equations

Solve systems of two linear equations using graphing, substitution, and elimination. Interpret solutions as intersection points and apply systems to real-world problems.

Unit 4 · 8 pages

Chapters

00Cover

Cover

Unit overview, essential questions, learning objectives, and vocabulary list for Unit 4 Systems of Equations.

4.1

Introduction to Systems

Understand what a system of equations is, identify solutions as ordered pairs, and classify systems as one solution, no solution, or infinitely many solutions.

4.2

Solving by Graphing

Graph two linear equations on the same coordinate plane and identify the solution as the point of intersection.

4.3

Solving by Substitution

Solve systems algebraically by substituting one equation into the other. Identify when substitution is most efficient.

4.4

Solving by Elimination

Solve systems by adding or subtracting equations to eliminate a variable. Use multiplication to create opposite coefficients.

4.5

Special Cases of Systems

Identify systems with one solution, no solution, or infinitely many solutions. Recognize parallel lines and the same line algebraically and graphically.

4.6

Systems of Word Problems

Translate real-world word problems into systems of equations. Define variables, write two equations, solve, and interpret the solution in context.

4.7

Unit Review

Review all Unit 4 Systems of Equations topics — graphing, substitution, elimination, special cases, and word problems — before the unit assessment.

← Back to Algebra 1Unit 4 of 11