Public learning track
Multi-Step Linear Equations and Identities
7th Grade · Math · Open Global Math
11 lessons
Goal
Solve multi-step linear equations with variables on both sides, clear fractions and decimals, solve literal equations, and determine solution cardinality.
Featured Diagrams
Solving Multi-Step Linear Equations with Variables on Both Sides
11 lessons
0 of 11 done
- 1Solving Multi-Step Linear Equations with Variables on Both SidesUp nextStart
- 2Solving Equations with Variables on Both Sides and Rational CoefficientsPremiumNot started yet
- 3Solving Linear Equations with Fractional CoefficientsNot started yet
- 4Clearing Decimals in Multi-Step Linear EquationsNot started yet
- 5Solving Equations with Distributive Property on Both SidesNot started yet
- 6Identifying Equations with One Solution, No Solution, or Infinite SolutionsNot started yet
- 7Creating Equations with Specified Numbers of SolutionsNot started yet
- 8Solving Linear Equations with Coefficients Represented by LettersNot started yet
- 9Rearranging Geometric and Scientific FormulasNot started yet
- 10Solving Geometric Problems Using Multi-Step EquationsNot started yet
- 11Solving Complex Word Problems with Multi-Step EquationsNot started yet
Standards Covered
- OGM.8.ALG.2Open Global Math Standards 2026™ · Math · Level 8 / Grade 7 (Age 12) · Grade 7Write and solve one-variable linear equations and two-step equations in forms such as px + q = r and p(x + q) = r with rational numbers fluently; check and verify solutions by substitution and compare algebraic methods with arithmetic methods.
- OGM.8.ALG.4Open Global Math Standards 2026™ · Math · Level 8 / Grade 7 (Age 12) · Grade 7Solve systems of linear equations and explore non-linear equations, including solving systems of two linear equations in two variables by substitution and elimination, and understanding introductory quadratic equations and fractional equations.
Curriculum Framework
7th Grade · Math · Open Global Math
1
12 lessons
Algebraic Expressions and Polynomial Operations
Formulate, simplify, expand, and factor linear and polynomial expressions with rational coefficients using properties of operations.
2
12 lessons
One-Variable Linear Equations and Two-Step Forms
Solve and verify one-step and two-step linear equations in forms such as px + q = r and p(x + q) = r with rational numbers fluently.
3
11 lessons
Multi-Step Linear Equations and Identities
Solve multi-step linear equations with variables on both sides, clear fractions and decimals, solve literal equations, and determine solution cardinality.
4
11 lessons
Linear Inequalities and Number Line Representations
Write, solve, and graph one-variable linear inequalities with rational numbers, and interpret solution sets within contextual constraints.
5
11 lessons
Foundations of Functions and Relations
Understand the function concept as a single-output rule, distinguish variables, evaluate functions, and connect tables, equations, and graphs.
6
12 lessons
Linear Functions, Slope, and Rates of Change
Analyze constant rates of change, determine and interpret slope and intercepts, and model real-world linear functions algebraically and graphically.
7
11 lessons
Systems of Linear Equations
Solve systems of two linear equations in two variables graphically, by substitution, and by elimination, and model contextual problems.
8
11 lessons
Non-Linear Functions: Quadratic and Inverse Variation
Analyze non-linear relationships, explore quadratic functions and inverse proportional functions through tables, formulas, and graphs.
9
10 lessons
Quadratic and Fractional Equations
Solve introductory quadratic equations by square roots and factoring, and solve fractional algebraic equations while identifying extraneous roots.