Solving Equations

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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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Multiply both sides by 5 to eliminate the fraction.

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CCSS.HSA.REI.A.1

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x = 10.

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CCSS.6.EE.B.7

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How do you combine like terms in the equation 2x - 3 + 4x = 27?

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Add the coefficients of x (2 and 4) to get 6x - 3 = 27.

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CCSS.7.EE.B.4A

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What is the solution to the equation 2x - 3 + 4x = 27?

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x = 5.

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CCSS.8.EE.C.7B

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What is the distributive property?

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

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CCSS.6.EE.A.3

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How do you apply the distributive property to the equation 6(5x - 3) + 2 = 14?

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Distribute 6 to both terms inside the parentheses: 30x - 18 + 2 = 14.

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CCSS.7.EE.B.4A

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What is the solution to the equation 6(5x - 3) + 2 = 14?

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x = 1.

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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.