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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CCSS.8.EE.C.7B

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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 for the variable that can satisfy the equation. This often occurs when simplifying leads to a false statement, such as 0 = 5.

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CCSS.8.EE.C.7A

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

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An equation has 'all real numbers' as a solution when any value for the variable satisfies the equation. This typically happens when the equation simplifies to a true statement, such as 0 = 0.

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CCSS.8.EE.C.7A

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CCSS.8.EE.C.7A

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The first step is to eliminate the fractions by finding a common denominator, which in this case is 20.

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The solution is 'No Solution' because the inequality simplifies to a false statement.

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The solution set is {2, 3}, meaning x must be greater than 2.

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CCSS.7.EE.B.4B

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What is the distributive property?

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CCSS.6.EE.A.3

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What is a variable in an equation?

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A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.

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CCSS.6.EE.A.2B