Multi-Step 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

What is the first step in solving the equation 4x - 5x + 9 = 5x - 9?

Back

Combine like terms on both sides of the equation.

Front

How do you isolate the variable in the equation 6(x + 3) = 48?

Back

Distribute the 6 to get 6x + 18 = 48, then subtract 18 from both sides.

Front

What is the solution to the equation 6x + 18 = 48?

Back

x = 5, found by dividing both sides by 6 after isolating 6x.

Front

What does it mean to distribute in an equation?

Back

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

Front

How do you solve the equation x/3 + 10 = 15?

Back

Subtract 10 from both sides to get x/3 = 5, then multiply both sides by 3 to find x = 15.

Front

What is the solution to the equation 5(x - 3) + 2x = 27?

Back

x = 6, found by simplifying and isolating x.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term in a sum.

Front

What is the importance of combining like terms in an equation?

Back

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

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side by itself.