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. 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 3y + 4y, you combine to get 7y.

Front

What is the first step in solving the equation 3y + 4y + 6 = 20?

Back

The first step is to combine like terms: 3y + 4y becomes 7y, so the equation simplifies to 7y + 6 = 20.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to get the variable by itself on one side of the equation. For example, in 7y + 6 = 20, subtract 6 from both sides.

Front

What is the solution to the equation 9c - 3c = 48?

Back

First, combine like terms: 9c - 3c = 6c. Then, divide both sides by 6 to find c = 8.

Front

What does it mean to have a negative solution in an equation?

Back

A negative solution means that the value of the variable is less than zero. For example, in the equation 19 + a = -50, solving gives a = -69.

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 two or more terms inside a set of parentheses.

Front

How do you solve the equation 3x - 18 = 22 - 2x?

Back

First, add 2x to both sides to get 5x - 18 = 22. Then, add 18 to both sides to get 5x = 40. Finally, divide by 5 to find x = 8.

Front

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

Back

First, subtract h from both sides to get 4h + 4 = 12. Then, subtract 4 from both sides to get 4h = 8. Finally, divide by 4 to find h = 2.

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation. It helps confirm that no mistakes were made during the solving process.