Grade 9 - Linear Equations

Students solve one-variable linear equations using inverse operations, the distributive property, and combining like terms, including equations with integers, terminating decimals, fractions, parentheses, and variables on both sides. They preserve equality, recognize when an equation has one solution, no solution, or infinitely many solutions, and verify proposed solutions by substitution into the original equation. Students translate real-world relationships into linear equations, identify variables, rates, initial values, and units, connect verbal, tabular, graphical, and symbolic representations, and interpret whether solutions are meaningful in context.