Multi-Step Equations with 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 for the variable. It often involves 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, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

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

Back

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

Front

What is the first step in solving the equation 5x - 14 = 8x + 4?

Back

The first step is to get all terms containing the variable on one side and constant terms on the other side, typically by subtracting 5x from both sides.

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

Front

What is the solution to the equation 12k + 15 = 35 + 2k?

Back

k = 2

Front

How do you check if your solution to an equation is correct?

Back

You can check your solution by substituting it back into the original equation to see if both sides are equal.

Front

Solve for x: 7x = 4x + 33

Back

x = 11

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: 8x - 8 = -4x + 16

Back

x = 2