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 like addition, subtraction, multiplication, and division.

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the first step in solving a multi-step equation?

Back

The first step is often to simplify both sides of the equation by distributing and combining like terms.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is an example of a multi-step equation?

Back

An example is 2(x + 3) = 14, which requires distribution and then solving for x.

Front

What is the solution to the equation 3x + 5 = 20?

Back

The solution is x = 5.

Front

What is the solution to the equation 4(x - 2) = 12?

Back

The solution is x = 5.

Front

What does it mean to check your solution?

Back

Checking your solution means substituting the value back into the original equation to verify it makes the equation true.