Solving Equations and Inequalities

Cathy·

Algebra

Preview

At a Glance

Grade Level7th Grade

SubjectAlgebra

Original Prompt

Write and solve multi-step equations and inequalities in one variable involving rational numbers in mathematical and real-world situations. Include a fraction bar as a grouping symbol. Combine like terms, but do not include variables on both sides; one side only.

This resource covers solving multi-step equations and inequalities involving rational numbers, specifically using fraction bars. The document explains key vocabulary such as equations, rational numbers, and grouping symbols, providing a structured approach to clear fractions/decimals, distribute terms, combine like terms, and isolate variable terms. Worked examples illustrate the process step-by-step, guiding learners through solving equations with fraction bars. Additionally, it includes practice problems and tips for solving inequalities, emphasizing the crucial concept of flipping the inequality sign when multiplying or dividing by a negative number. The material fosters understanding through practice and real-world connections, enhancing students' algebra skills.