Solving Multi Step Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, distributing, and isolating the variable.

Front

What is the first step in solving the equation 3r + 7 = 10r + 28?

Back

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

Front

Solve the equation: 3x + 5 = 20.

Back

x = 5.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the purpose of distributing in an equation?

Back

Distributing is used to eliminate parentheses by multiplying the term outside the parentheses by each term inside.

Front

Solve the equation: 5 - 2(x - 7) = x + 1 + 3x.

Back

x = 4.

Front

What is the correct order of operations when solving multi-step equations?

Back

1. Distribute 2. Combine like terms 3. Get the variable on one side by adding or subtracting 4. Divide or multiply.

Front

Back

Front

What is the solution to the equation 7x + 19 = -2x + 55?

Back

x = 4.

Front

What step cannot be performed first when solving the equation 5 - 2(x - 7) = x + 1 + 3x?

Back

You cannot perform 5 - 2 first.