Solving Equations with Variables on both sides

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What are variables in an equation?

Back

Variables are symbols (like x, y, or k) that represent unknown values in mathematical expressions or equations.

Front

What is the goal when solving equations with variables on both sides?

Back

The goal is to isolate the variable on one side of the equation to find its value.

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What is the first step in solving an equation like -2k + 19 = 3k - 1?

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The first step is to move all terms involving the variable to one side of the equation.

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How do you combine like terms in an equation?

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You combine like terms by adding or subtracting the coefficients of the same variable.

Front

What is the solution to the equation -2k + 19 = 3k - 1?

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The solution is k = 4.

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What is the solution to the equation 2x + 46 = -3x - 54?

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The solution is x = -20.

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What is the solution to the equation 9m = 4m - 35?

Back

The solution is m = -7.

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What is the solution to the equation 3r + 7 = 10r + 28?

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The solution is r = -3.