Solving Two-Step Equations with Distribution

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

What does it mean to distribute in an equation?

Back

Distributing means to multiply a term outside the parentheses by each term inside the parentheses.

Front

Solve: 3(2x + 3) = 21. What is x?

Back

x = 2

Front

Solve: -2(x + 5) = 8. What is x?

Back

x = -9

Front

What are like terms?

Back

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

Front

Solve: -4(3x - 7) = 4. What is x?

Back

x = 2

Front

What is the first step in solving the equation 4(x + 2) = 16?

Back

The first step is to distribute 4 to both x and 2.

Front

Solve: 4(x + 2) = 16. What is x?

Back

x = 2

Front

What is the purpose of combining like terms?

Back

Combining like terms simplifies an expression or equation, making it easier to solve.

Front

Solve: 2(x + 15) = -6. What is x?

Back

x = -18