Solving Equations with Variables on Both Sides

Front

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

Back

The goal is to find the value of the variable.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation to isolate the variable.

Front

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.

Front

What is the first step in solving the equation f - 4 = 6f + 26?

Back

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

Front

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

Back

The solution is x = 3.

Front

What is the process to solve the equation 5x - 14 = 8x + 4?

Back

First, move all x terms to one side and constant terms to the other side.

Front

What is the solution to the equation 7x - 4 = 3 + 8x?

Back

The solution is x = -7.

Front

What does it mean to check your solution in an equation?

Back

It means substituting the solution back into the original equation to verify it satisfies the equation.

Front

What is an inverse operation?

Back

An inverse operation is an operation that reverses the effect of another operation, such as addition and subtraction.

Front

How can you simplify the equation before solving it?

Back

You can combine like terms and eliminate any constants on one side.