Solving Equations with Variables on Both Sides

Front

What is the first step in solving an equation with variables on both sides?

Back

Isolate one variable on one side of the equation by moving terms involving that variable to one side and constant terms to the other.

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Back

x = 3

Front

What does it mean if an equation has 'no solution'?

Back

It means that there are no values for the variable that can satisfy the equation.

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Back

All real numbers

Front

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

Back

To simplify the equation, making it easier to solve.

Front

Back

x = 2

Front

What does it mean if an equation has 'all real numbers' as a solution?

Back

It means that any value for the variable will satisfy the equation.

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Back

x = -11

Front

What is the importance of checking your solution after solving an equation?

Back

To verify that the solution satisfies the original equation.

Front

Back

x = 3