Algebra 1 · Topic guide
Reasoning with Equations & Inequalities — Algebra 1
Solve compound inequalities. Choose the one next operation that preserves exactly the same solution set. Interpret graph as solution set.
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What you’ll learn
- Solve compound inequalities.
- Choose the one next operation that preserves exactly the same solution set.
- Interpret graph as solution set.
- Interpret intersections as equation solutions.
Explore the skills
Choose an idea below to read a worked example and try one question.
- Solve compound inequalitiesSolve compound inequalities.
- Explain why algebraic equation steps preserve solutionsChoose the one next operation that preserves exactly the same solution set.
- Interpret graph as solution setInterpret graph as solution set.
- Interpret intersections as equation solutionsInterpret intersections as equation solutions.
- Solve linear equations with fractional coefficientsSolve linear equations with fractional coefficients.
- Solve multi-step linear inequalitiesSolve the multi-step inequality and enter the exact solution set.
- Solve multi-step linear equationsSolve multi-step linear equations.
- Solve by completing squareSolve by completing square.
- Solve using quadratic formulaSolve using quadratic formula.
- Choose an appropriate quadratic-solving methodChoose an appropriate quadratic-solving method.
- Solve quadratics using square rootsSolve quadratics using square roots.
- Solve quadratics using zero-product propertySolve quadratics using zero-product property.
- Solve systems by eliminationSolve systems by elimination.
- Solve linear systems graphicallySolve linear systems graphically.
- Choose graph/substitution/eliminationChoose graph/substitution/elimination.
- Identify no/infinite solution systemsIdentify no/infinite solution systems.
- Solve systems by substitutionSolve systems by substitution.