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

How do you combine like terms in an equation?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable. For example, in the equation 2x + 3x, you combine them to get 5x.

Front

What is the first step in solving the equation 2x + 10x = 60?

Back

The first step is to combine like terms: 2x + 10x becomes 12x, so the equation simplifies to 12x = 60.

Front

What is the solution to the equation 2x + 10x = 60?

Back

The solution is x = 5.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

Front

How do you solve the equation -2x - 7 + 3x = 10?

Back

Combine like terms to get x - 7 = 10, then add 7 to both sides to find x = 17.

Front

What is the solution to the equation -2x - 7 + 3x = 10?

Back

The solution is x = 17.

Front

What is the purpose of using the distributive property in equations?

Back

The distributive property allows you to multiply a single term by two or more terms inside a set of parentheses, helping to simplify equations.

Front

How do you solve the equation 3y + 4y + 6 = 20?

Back

Combine like terms to get 7y + 6 = 20, then subtract 6 from both sides to find 7y = 14, and finally divide by 7 to get y = 2.

Front

What is the solution to the equation 3y + 4y + 6 = 20?

Back

The solution is y = 2.