## Correlation to Michigan Algebra 1 Standards

Section 10 Systems of Linear Equations

**Lesson: Solving Systems of Linear Equations by Graphing**

Major Emphasis:

A1.2.3 Solve linear and quadratic equations and inequalities including systems of up to three linear equations with three
unknowns. Justify steps in the solution, and apply the quadratic formula appropriately.

Inequalities and quadratics will be addressed in another unit.

**Also Addressed:**

A2.1.3 Represent functions in symbols, graphs, tables, diagrams, or words and translate amoung representations.

**A3.1.2** Graph lines (including those of the form x=h and y=k) given appropriate information.

**A3.1.3** Relate the coefficients in a linear function to the slope and x- and y- intercepts of its graph.

**Lesson: Systems with No Solutions and Infinitely Many Solutions (Parallel and Coincide)**

Major Emphasis:

A1.2.3 Solve linear and quadratic equations and inequalities including systems of up to three linear equations with three
unknowns. Justify steps in the solution, and apply the quadratic formula appropriately.

**Also Addressed:**

A2.2.1 Combine functions by addition, subtraction, multiplication, and division.

**A3.1.4** Find an equation of the line parallel or perpendicular to given line, through a given point; understand and use the
facts that non-vertical parallel lines have equal slopes, and that nonvertical perpendicular lines have slopes that multiply to give -1.

**Remaining Lessons**

Major Emphasis:

A1.2.3 Solve linear and quadratic equations and inequalities including systems of up to three linear equations with three
unknowns. Justify steps in the solution, and apply the quadratic formula appropriately.

**Also Addressed:**

A2.2.1 Combine functions by addition, subtraction, multiplication, and division.