Three-Step Equations

Front

What is a three-step equation?

Back

A three-step equation is an algebraic equation that requires three operations to isolate the variable and solve for its value.

Front

What is the first step in solving the equation 6x + 4 = 3 + 5x?

Back

The first step is to get all terms containing the variable on one side and constant terms on the other side.

Front

Solve for x: 6x + 4 = 3 + 5x.

Back

x = -1.

Front

What is the second step in solving the equation 3x + 10 = 5x - 4?

Back

The second step is to simplify both sides of the equation.

Front

Solve for x: 3x + 10 = 5x - 4.

Back

x = 7.

Front

What is the third step in solving the equation x - 10 = 5x - 14?

Back

The third step is to isolate the variable x by performing inverse operations.

Front

Solve for x: x - 10 = 5x - 14.

Back

x = 1.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means to manipulate the equation so that the variable is alone on one side of the equation.

Front

Solve for x: -4 + 3x = 5x - 14.

Back

x = 5.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.