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 to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides to isolate the term with the variable.

Front

Solve for y: 3y + 4y + 6 = 20.

Back

y = 2.

Front

What is the solution to the equation 23 - 9x = -56x - 28?

Back

x = -1.09.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to get the variable alone on one side of the equation.

Front

Solve for h: 5h + 4 = 12 + h.

Back

h = 2.

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 parentheses.

Front

Solve for w: 12 + 5w = 15 + 4w.

Back

w = 3.

Front

What does it mean to 'subtract 11 from both sides' in an equation?

Back

It means to take away 11 from both sides of the equation to maintain equality.