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, often involving combining like terms, using the distributive property, and isolating the variable.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step to solve the equation 12 + 5w = 15 + 4w?

Back

Subtract 4w from both sides to simplify the equation.

Front

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

Back

w = 3.

Front

How do you solve the equation 19 + a = -50?

Back

Subtract 19 from both sides to isolate 'a', resulting in a = -69.

Front

What is the solution to the equation 9c - 3c = 48?

Back

c = 8.

Front

What does combining like terms mean?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

How do you solve the equation 3y + 4y + 6 = 20?

Back

Combine like terms (3y + 4y = 7y), then isolate y to find y = 2.

Front

What is the solution to the equation 5x - 14 = 8x + 4?

Back

x = -6.

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 inside a parenthesis.