Equations and Inequalities

Unit Description:

In this unit, students simplify algebraic expressions and write and solve both one-step, two-step, and multi-step equations. Students will also learn to write, solve and graph inequalities.

In a previous unit, students learned to perform operations with integers, use the order of operations and understand the properties of numbers. Drawing on this knowledge, the students will learn the “zig-zag” method as well as the algebraic method to undo inverse operations to solve equations.

Big Ideas:

• A solution is the number that makes an equation true.
• The order of operations and the properties of numbers help them to solve equations.
• Finding a solution is the process of “unwrapping” the unknown variable, using inverse operations.
• The graph of an inequality contains an infinite number of points.

Essential Questions:

• How are inverse operations used to “undo” an equation?
• Why are algebraic rules useful?
• How are equations and inequalities used to describe and solve multi-step problems?

Textbook - Glencoe Math Accelerated

• 7-1: The Distributive Property
• 7-2: Simplifying Algebraic Expressions
• 7-3: Adding Linear Expressions
• 7-4: Subtracting Linear Expressions
• 7-5: Factoring Linear Expressions
• 8-1: Solving Equations with Rational Coefficients
• 8-2: Solving 2-Step Equations
• 8-3: Writing Equations
• 8-4: More 2-Step Equations*
• 8-5: Solving Equations with Variables on Both Sides*
• 8-6: Inequalities
• 8-7: Solving Inequalities
• 8-8: Solving Multi-Step Equations and Inequalities*

*Honors Only