Unit 2

Inequalities

Write, solve, and graph one-step, two-step, and compound inequalities on a number line. Apply inequality reasoning to real-world problems and understand how multiplying or dividing by a negative reverses the inequality symbol.

Unit 2 · 9 pages

Chapters

00Cover

Cover

Unit overview, essential questions, learning objectives, and vocabulary list for Unit 2 Inequalities.

2.1

Introduction to Inequalities

Understand inequality symbols, graph inequalities on a number line, and write inequalities from real-world situations.

2.2

One-Step Inequalities

Solve one-step inequalities using addition, subtraction, multiplication, and division. Flip the symbol when multiplying or dividing by a negative.

2.3

Two-Step Inequalities

Solve inequalities that require two inverse operations and graph the solution set on a number line.

2.4

Compound Inequalities

Solve and graph compound inequalities joined by 'and' (intersection) or 'or' (union). Write solutions in interval notation.

2.5

Absolute Value Equations and Inequalities

Solve absolute value equations using the Two-Case Method and absolute value inequalities using the Less-Than (AND) and Greater-Than (OR) rules.

2.6

Graphing Inequalities on a Number Line

Graph simple, compound, and absolute value inequalities on a number line using open and closed circles.

2.7

Graphing Linear Inequalities in Two Variables

Graph linear inequalities in two variables by shading the correct half-plane on the coordinate plane.

2.8

Unit Review

Review all Unit 2 Inequalities topics before the unit assessment.

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