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

What is the next step after combining like terms in the equation 7y + 6 = 20?

Back

Subtract 6 from both sides to isolate the term with the variable: 7y = 20 - 6, which simplifies to 7y = 14.

Front

How do you isolate the variable in the equation 7y = 14?

Back

Divide both sides by 7 to solve for y: y = 14 / 7, which simplifies to y = 2.

Front

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

Back

The solution is w = 3.

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 apply the distributive property in the equation 5(h + 2) = 12?

Back

Distribute 5 to both h and 2: 5h + 10 = 12.

Front

What is the solution to the equation 0 + 10x = 60 - 2x?

Back

The solution is x = 5.

Front

How do you solve the equation 5h + 4 = 12 + h?

Back

First, subtract h from both sides: 5h - h + 4 = 12. Then, subtract 4 from both sides: 4h = 8. Finally, divide by 4: h = 2.