Solve Equations with Variables on both sides

Front

What is an equation with variables on both sides?

Back

An equation that contains variables on both the left and right sides, such as 3x + 1 = 2x + 5.

Front

How do you isolate a variable in an equation?

Back

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

Front

What does it mean to solve an equation?

Back

To find the value of the variable that makes the equation true.

Front

Write the equation for the model: 'The sum of a number and 5 is equal to twice that number.'

Back

x + 5 = 2x.

Front

If 3x + 4 = 10, what is the value of x?

Back

x = 2.

Front

What is the first step in solving the equation 2x + 3 = x + 7?

Back

Subtract x from both sides to get x + 3 = 7.

Front

Write the equation for the model: 'A number decreased by 8 equals 12.'

Back

x - 8 = 12.

Front

What is the solution to the equation 5x - 2 = 3x + 6?

Back

x = 4.

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 does it mean to have no solution in an equation?

Back

It means that there is no value for the variable that can satisfy the equation, such as 2 = 3.