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

Front

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

Back

The first step is usually to simplify both sides of the equation by combining like terms and using the distributive property if necessary.

Front

How do you isolate a variable in a multi-step equation?

Back

To isolate a variable, you perform inverse operations to move all terms involving the variable to one side of the equation and constant terms to the other side.

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

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a set of parentheses.

Front

Solve the equation: 2x + 3 = 11.

Back

x = 4.

Front

Solve the equation: 3(x - 2) = 12.

Back

x = 6.

Front

What is the solution to the equation: 5x - 7 = 3?

Back

x = 2.

Front

How do you check your solution in a multi-step equation?

Back

You substitute the solution back into the original equation to see if both sides are equal.

Front

What is an inverse operation?

Back

An inverse operation is an operation that reverses the effect of another operation, such as addition and subtraction or multiplication and division.