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

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step to solve the equation 5h + 4 = 12 + h?

Back

The first step is to subtract h from both sides to get 5h - h + 4 = 12.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Solve the equation: 9c - 3c = 48.

Back

c = 8.

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 check your solution for an equation?

Back

To check your solution, substitute the value back into the original equation to see if both sides are equal.

Front

Solve the equation: 0 + 10x = 60 - 2x.

Back

x = 5.

Front

What is the solution to the equation 12 + 5w = 15 + 4w?

Back

w = 3.

Front

What is a variable in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.