4.1.11 8th U4L8 Flashcard Review Game

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What does it mean for an equation to have infinitely many solutions?

Back

An equation has infinitely many solutions when any value of the variable satisfies the equation, often resulting from equivalent expressions on both sides.

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Combine like terms and simplify both sides of the equation.

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What is the mistake made when canceling terms in an equation?

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What does it mean to distribute in an equation?

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Distributing means multiplying a term outside the parentheses by each term inside the parentheses.

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What is the importance of checking your work after solving an equation?

Back

Checking your work ensures that the solution satisfies the original equation and helps identify any mistakes made during the solving process.

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What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one and can be graphed as a straight line.

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What does it mean for an equation to have no solution?

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An equation has no solution when there are no values for the variable that can satisfy the equation, often resulting in a contradiction.