Solve Multi Step Equations Combining Like Terms

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 combining like terms, using the distributive property, and isolating the variable.

Front

What does 'combining like terms' mean?

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

Solve for r: -16 = -8r - 8r

Back

r = 1

Front

Solve for m: 4 = 4m - 2m

Back

m = 2

Front

Solve for x: 5x - 4 + 2x = 3

Back

x = 1

Front

Solve for x: 2x - 3 + 4x = 27

Back

x = 5

Front

What is the first step in solving multi-step equations?

Back

The first step is often to combine like terms on one side of the equation.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

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 an example of a like term?

Back

3x and 5x are like terms because they both contain the variable x.