Solving Multistep Equations and Inequalities

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What is a multistep equation?

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A multistep equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

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What does it mean when an equation has 'no solution'?

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An equation has 'no solution' when there are no values that can satisfy the equation. This often occurs when the variables cancel out and result in a false statement.

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What does it mean when an equation has 'all real numbers' as a solution?

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When an equation has 'all real numbers' as a solution, it means that any value for the variable will satisfy the equation. This typically happens when the equation simplifies to a true statement.

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥, indicating that one expression is less than, greater than, or equal to another.

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.