Multi-Step Equations and Variables on Both Sides

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

What does it mean to have variables on both sides of an equation?

Back

Having variables on both sides of an equation means that the variable appears on both the left and right sides, requiring manipulation to isolate the variable.

Front

How do you isolate a variable in a multi-step equation?

Back

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

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.

Front

Solve for x: 2x + 3(5x - 7) = 47

Back

x = 4

Front

Solve for a: 2a + 4 = 7 + a

Back

a = 3

Front

Solve for x: 2x - 3 + 4x = 27

Back

x = 5

Front

Solve for b: -11 + 3(b + 5) = 7

Back

b = 1

Front

What is the first step in solving the equation 7x - 11 = 5x + 25?

Back

The first step is to get all terms involving x on one side and constant terms on the other side.

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.