Solve 2-Step Equations (no negatives)

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What is a 2-step equation?

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A 2-step equation is an algebraic equation that can be solved in two steps, typically involving operations such as addition, subtraction, multiplication, or division to isolate the variable.

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How do you isolate a variable in a 2-step equation?

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To isolate a variable in a 2-step equation, perform inverse operations in the reverse order of operations: first eliminate any addition or subtraction, then eliminate any multiplication or division.

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What is the first step to solve the equation 2x - 3 = 1?

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The first step is to add 3 to both sides of the equation to eliminate the -3.

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What is the solution to the equation 2x - 3 = 1?

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The solution is x = 2.

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How do you write an algebraic equation from a word problem?

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Identify the key quantities and relationships described in the problem, then translate them into mathematical symbols and expressions.

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Translate the phrase 'Twelve is sixteen less than four times a number' into an equation.

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The equation is 12 = 4x - 16.

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What does it mean for an equation to have no negatives?

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An equation with no negatives means that all terms in the equation are either positive or zero, simplifying the solving process.

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What is the solution to the equation x + 4 = 11?

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The solution is x = 7.

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How can you check if your solution to a 2-step equation is correct?

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Substitute the solution back into the original equation to see if both sides are equal.

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What is the importance of understanding inverse operations in solving equations?

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Understanding inverse operations is crucial because it allows you to effectively isolate the variable and solve the equation.