Distribute and Combine Like Terms Equations

Front

What does it mean to distribute in an equation?

Back

To distribute means to multiply each term inside a parenthesis by the term outside the parenthesis.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power.

Front

How do you combine like terms?

Back

You add or subtract the coefficients of like terms while keeping the variable part the same.

Front

What is the first step in solving the equation 2(2x + 3) = -6(x + 9)?

Back

The first step is to distribute the 2 on the left side and -6 on the right side.

Front

Solve: 2(2x + 3) = -6(x + 9)

Back

x = -6.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the purpose of combining like terms?

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

Solve: 2(4x - 3) - 8 = 4 + 2x

Back

x = 3.

Front

What is the solution to the equation 2x + 4 = 10?

Back

x = 3.

Front

When do you need to distribute in an equation?

Back

You need to distribute when there are parentheses that need to be expanded.