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, often involving operations such as addition, subtraction, multiplication, and division.

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 is the first step in solving the equation -10b + 5 = 7b + 5?

Back

The first step is to move all terms involving b to one side by adding 10b to both sides.

Front

What is the solution to the equation 7 - 14m = 2m - 5?

Back

The solution is m = 0.75.

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 'show all steps' when solving an equation?

Back

It means to clearly write out each operation performed to arrive at the solution, demonstrating the thought process.

Front

What is the solution to the equation r + 15 = 4r - 6?

Back

The solution is r = 7.

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

What is the solution to the equation 4x + 1 = 2x - 5?

Back

The solution is x = -3.

Front

What is the solution to the equation y - 3 = -3y - 43?

Back

The solution is y = -10.