12.10.24 Per 4 Review Two-Step Equations

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What is a two-step equation?

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A two-step equation is an algebraic equation that requires two operations to solve for the variable. For example, in the equation 3x - 5 = 10, you would first add 5 to both sides and then divide by 3.

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CCSS.7.EE.B.4A

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What is the first step to solve the equation 3n - 15 = 12?

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The first step is to add 15 to both sides of the equation.

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CCSS.7.EE.B.4A

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What do you do after adding 12 to both sides in the equation 7x - 12 = 37?

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After adding 12 to both sides, you simplify to get 7x = 49, and then the next step is to divide both sides by 7.

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CCSS.7.EE.B.4A

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How do you isolate the variable in the equation 3x - 2 = -29?

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To isolate the variable, first add 2 to both sides to get 3x = -27, then divide both sides by 3 to find x.

Tags

CCSS.7.EE.B.4A

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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 to 'show your work' in solving equations?

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'Showing your work' means to write down each step taken to solve the equation, which helps in understanding the process and allows others to follow your reasoning.

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CCSS.8.EE.C.7B

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What is the purpose of adding or subtracting a number from both sides of an equation?

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Adding or subtracting a number from both sides of an equation maintains the equality, allowing you to isolate the variable.

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CCSS.6.EE.B.7

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The next step is to divide both sides by 7 to solve for x.

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CCSS.6.EE.B.7

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What is the principle of equality in solving equations?

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The principle of equality states that if two expressions are equal, you can perform the same operation on both sides without changing the equality.

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CCSS.HSA.REI.A.1