 When Lines Collide
Systems of Equations
LEARNING OBJECTIVES:

Students will:

• Learn how to define variables and how to write and solve algebraic equations from word problems.
• Comprehend how to use substitution as a method to solve systems of linear equations.
• Explore various graphs to solve linear systems of equations.

STANDARDS: 6-8.5.1. develop an initial conceptual understanding of different uses of variables. 6-8.5.3. use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships. 6-8.6.0 Use mathematical models to represent and understand quantitative relationships. 6-8.6.1. model and solve contextualized problems using various representations, such as graphs, tables, and equations.

 California Content Standards Mathematics Grades Eight through Twelve Algebra I 5.0. Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step. 9.0. Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.