Solving multi-step problems using linear equations in one variable

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What is a linear equation in one variable?

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A linear equation in one variable is an equation that can be written in the form ax + b = 0, where a and b are constants and x is the variable.

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How do you isolate a variable in a linear 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.

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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 that make the equation true.

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What is the first step in solving the equation 7x = 3x + 24?

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The first step is to subtract 3x from both sides to get 4x = 24.

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What is the solution to the equation 2e - 12 = 7e + 8?

Back

The solution is e = -4.

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How do you check if your solution to an equation is correct?

Back

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

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What is the solution to the equation 2x + 6 = 4x - 26?

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The solution is x = 16.

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What is the process of combining like terms in an equation?

Back

Combining like terms involves adding or subtracting coefficients of the same variable to simplify the equation.

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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 for the variable that can satisfy the equation.