Practice: Solving Equations with Fractions

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What is an equation?

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An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

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CCSS.6.EE.A.2C

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What does it mean to solve an equation?

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To solve an equation means to find the value(s) of the variable(s) that make the equation true.

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CCSS.8.EE.C.7B

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What is a fraction?

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CCSS.3.NF.A.1

CCSS.3.NF.A.2B

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How do you isolate a variable in an equation?

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To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

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CCSS.6.EE.B.7

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Subtract 3 from both sides to begin isolating the variable 'a'.

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CCSS.7.EE.B.4A

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CCSS.7.EE.B.4A

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What does it mean if an equation has no solution?

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An equation has no solution if there are no values for the variable that can satisfy the equation.

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CCSS.8.EE.C.7A

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CCSS.6.EE.B.7

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How do you check if your solution to an equation is correct?

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Substitute the solution back into the original equation to see if both sides are equal.

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CCSS.6.EE.B.5

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CCSS.6.EE.B.7