Solving Multi-step Equations with Variables on Both Sides

Front

What is the goal of solving multi-step equations?

Back

To find the value of the variable.

Front

How do you solve the equation 4x - 5x + 9 = 5x - 9?

Back

Combine like terms to get -x + 9 = 5x - 9, then isolate x to find x = 3.

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

What does it mean to combine like terms in an equation?

Back

It means to simplify the equation by adding or subtracting terms that have the same variable and exponent.

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

What is the purpose of distributing in an equation?

Back

To eliminate parentheses by multiplying each term inside the parentheses by the term outside.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to get the variable alone on one side of the equation.

Front

What is an example of a multi-step equation?

Back

An equation that requires more than one operation to solve, such as 2(3x + 4) = 16.

Front

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

Back

It means that the variable appears on both the left and right sides of the equation, requiring manipulation to isolate it.

Front

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

Back

To verify that the value found for the variable satisfies the original equation.