Expressions and Multi-Step Equations: Math Unit 3, Grade 7 (Letters & Devotion)

Description

Expressions and Multi-Step Equations is Unit 3 of Mathematics 7: Proportional Reasoning and Rational Number Systems (Grade 7), the Letters & Devotion Math course, complete in one printable PDF: 11 lessons, the unit check-up and the answer key, 60 pages.

• Like terms in a linear expression with rational, including negative, coefficients
• The distributive property applied with a negative multiplier
• Equivalence between an expanded and a factored form of the same linear expression
• Two-step linear equations with rational coefficients, form px + q = r
• Multi-step linear equations of form p(x + q) = r and equations with variables on both sides
• Translation of a word problem into a px + q = r equation
• Arithmetic versus algebraic solution methods for the same word problem
• One-variable linear inequalities requiring a sign reversal
• The solution set of a linear inequality represented on a number line
• Selecting between an equation and an inequality model for a novel real-world constraint problem
• Application of the equation-as-balance principle to an unfamiliar quantitative domain

Every lesson is written for a parent with no teaching background: it opens with a short script to read aloud, names the specific wrong idea a student is likely to reach for and how to correct it, and closes with a practice sheet you may copy for your household. Scripture references are King James Version throughout. Black-and-white, 8.5 x 11 in. The whole year of this course is also in this store as a single book.

AI note: The written content of this resource was drafted with AI tools, then reviewed and edited by the author.