Solve 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 distribute in an equation?

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To distribute means to multiply a term outside the parentheses by each term inside the parentheses. For example, in 4(5 - x), you would multiply 4 by both 5 and -x.

Tags

CCSS.6.EE.A.3

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What is the first step to solve the equation 4(5 - x) = 8?

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The first step is to distribute the 4 to both terms inside the parentheses, resulting in 20 - 4x = 8.

Tags

CCSS.7.EE.B.4A

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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 get the variable by itself on one side of the equation.

Tags

CCSS.6.EE.B.7

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What does it mean to combine like terms?

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Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1

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What is the solution to the equation (2x - 3) / 4 = 9?

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The solution is x = 19.5.

Tags

CCSS.7.EE.B.4A

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How do you solve the equation 7(1 - y) = -3(y - 2)?

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First, distribute on both sides, then combine like terms and isolate y to find y = 1/4.

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

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Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.

Tags

CCSS.8.EE.C.7B

Front

What is the result of simplifying the equation 8v - 4(v + 8) = 8?

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The result is v = 10.

Tags

CCSS.8.EE.C.7B

Front

How do you solve the equation 4x - 5x + 9 = 5x - 9?

Back

Combine like terms to simplify the equation, then isolate x to find x = 3.