Equations and Inequalities of One Variable for Algebra from Elevated Math

These 22 lessons provide initial instruction or intervention on how to solve various types of linear equations and inequalities, including finding solutions for absolute value equations and inequalities.

Since the study of mathematics revolves around solving equations, the focus of the first six lessons is to teach students how to solve linear equations of one variable by inspection, in one step, in two-steps, and using multi-steps.
A3.1 Identifying Properties of Equality
A3.2 Solving Equations by Inspection
A3.3 Solving One-Step Linear Equations
A3.4 Solving Two-Step Linear Equations
A3.5 Solving Multi-Step Linear Equations
A3.6 Rewriting Formulas

After learning to translate sentences into algebraic equations with one unknown, students work on solving all types of real-world problems in the last three lessons.
A4.1 Translating Sentences into Algebraic Equations
A4.2 Solving Consumer/Business Problems Using Equations of One Variable
A4.3 Solving Geometry Problems Using Equations of One Variable
A4.4 Solving Mixture and Rate Problems Using Equations of One Variable

The next seven lessons introduce students to linear inequalities of one variable, a mathematical concept with many consumer applications. An algebraic inequality has an infinite number of solutions.
A5.1 Solving Linear Inequalities by Inspection
A5.2 Solving One-Step Linear Inequalities
A5.3 Solving Two-Step Linear Inequalities
A5.4 Solving Multi-Step Linear Inequalities
A5.5 Solving Conjunction Inequalities
A5.6 Solving Disjunction Inequalities
A5.7 Solving Problems Using Inequalities of One Variable

Absolute value is used to describe distance without regard to direction. This is what makes absolute value equations and inequalities ideal for describing situations in which a “target range” exists. In the five lessons of this module, students solve various types of absolute value equations and inequalities. Modeling situations with expressions, equations, and inequalities is important for computer programmers.
A6.1 Solving Basic Absolute Value Equations
A6.2 Solving Advanced Absolute Value Equations
A6.3 Solving Inequalities Using “Absolute Value Is Less Than”
A6.4 Solving Inequalities Using “Absolute Value is Greater Than”
A6.5 Solving Problems Using Absolute Value Equations and Inequalities

Student print materials and Teachers Notes are available for download at www.elevatedmath.com.

Download the free Elevated Math app to view two complimentary lessons or buy the lessons individually.