Solving Equations with Variables on One Side

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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 variable in mathematics?

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A variable is a symbol, often a letter, that represents an unknown value in an equation.

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CCSS.6.EE.A.2B

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Subtract 1 from both sides to isolate the term with the variable.

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CCSS.7.EE.B.4A

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w = 2.

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CCSS.7.EE.B.4A

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Subtract 7 from both sides.

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CCSS.7.EE.B.4A

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c = 3.

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CCSS.7.EE.B.4A

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What does it mean to isolate a variable?

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To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

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n = 10.

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CCSS.7.EE.B.4A

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The combined like terms are 2x.

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CCSS.7.EE.A.1