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Equations and Inequalities flashcards
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- What does “Additive Inverse Operations” mean?One-Step Equations
- Undoing addition or subtraction while preserving equality.
- What important condition applies to additive inverse operations?One-Step Equations
- Apply the inverse operation to both sides.
- What does “Multiplicative Inverse Operations” mean?One-Step Equations
- Undoing multiplication or division with a nonzero factor.
- What important condition applies to multiplicative inverse operations?One-Step Equations
- Never divide an equation by zero.
- What does “Multi-Step Equations” mean?Multi-Step Equations
- Isolating a variable through a sequence of equality-preserving steps.
- What important condition applies to multi-step equations?Multi-Step Equations
- Check the original equation, not only the final simplified line.
- What does “Variables on Both Sides” mean?Multi-Step Equations
- An equation solved by collecting variable terms from both sides.
- What important condition applies to variables on both sides?Multi-Step Equations
- Variable cancellation can produce no solution or infinitely many solutions.
- What does “Inequality Solution Sets” mean?One-Variable Inequalities
- A range of variable values satisfying a comparison.
- What important condition applies to inequality solution sets?One-Variable Inequalities
- A strict inequality uses an open endpoint.
- What does “Reversing an Inequality” mean?One-Variable Inequalities
- An inequality transformed by reversing order under a negative factor.
- What important condition applies to reversing an inequality?One-Variable Inequalities
- Reverse direction for negative multiplication or division.