Multi Step Solving Equations with Variables on Both Sides

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, or division.

Front

What does it mean to have variables on both sides of an equation?

Back

It means that the equation contains variables (like x) on both the left and right sides, requiring manipulation to isolate the variable.

Front

What is the first step in solving the equation 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

Solve: 9 - 4x = 12x + 25

Back

x = -1

Front

Solve: 5x - 2 = x + 26

Back

x = 7

Front

Solve: 9x + 1 = 64

Back

x = 7

Front

What is the purpose of isolating the variable in an equation?

Back

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

Front

What operation would you use to eliminate a term from one side of an equation?

Back

You would use the inverse operation (e.g., if it's addition, use subtraction).

Front

If you have the equation 3x + 5 = 20, what is the first step to solve for x?

Back

Subtract 5 from both sides.

Front

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

Back

It means substituting the found value back into the original equation to verify that both sides are equal.