Solve linear equations with variables on both sides

Front

What is a linear equation?

Back

Front

What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the value of the variable that makes the equation true.

Front

What are variables in an equation?

Back

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What does it mean to have variables on both sides of an equation?

Back

It means that the variable appears on both the left and right sides of the equation, requiring manipulation to isolate the variable.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation 4(3r + 4) = −8(2r + 5)?

Back

Front

What is the solution to the equation 4(3r + 4) = −8(2r + 5)?

Back

Front

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

Back

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

Front

What is the solution to the equation 8k − 6 = 6(k + 3) + 6k?

Back

Front

What does it mean if an equation has no solution?

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It means that there is no value for the variable that can make the equation true.