Solving Multi-step equations.

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What is a multi-step equation?

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A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Tags

CCSS.8.EE.C.7B

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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.

Tags

CCSS.6.EE.B.7

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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 that can satisfy the equation, often resulting in a contradiction.

Tags

CCSS.8.EE.C.7A

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What is the first step in solving the equation 14 - 2(3p + 1) = 6(4 + p)?

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The first step is to distribute the -2 across the terms in the parentheses on the left side of the equation.

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

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The solution is x = 5.

Tags

CCSS.8.EE.C.7B

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How do you translate the phrase '4 less than two times a number' into an algebraic expression?

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The expression is 2x - 4.

Tags

CCSS.6.EE.A.2A

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What does it mean if an equation has 'one solution'?

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An equation has 'one solution' if there is exactly one value for the variable that makes the equation true.

Tags

CCSS.8.EE.C.7A

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What is the process of checking your solution in an equation?

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To check your solution, substitute the value back into the original equation to see if both sides are equal.

Tags

CCSS.8.EE.C.7B

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What is the significance of the distributive property in solving equations?

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The distributive property allows you to multiply a single term by each term inside a set of parentheses, which is essential for simplifying equations.

Tags

CCSS.6.EE.A.3

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How do you handle equations with variables on both sides?

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To solve equations with variables on both sides, you can move the variable terms to one side by adding or subtracting them from both sides.