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. 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 need to perform inverse operations to get the variable alone on one side of the equation. This may involve adding, subtracting, multiplying, or dividing both sides of the equation.

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 you to rearrange the equation to solve for the variable.

Front

Solve for y: 8y + 72 = 2y - 36

Back

y = -18

Front

Solve for w: 4w + 21 = w - 18

Back

w = -13

Front

Solve for x: 7x + 21 = 2x - 49

Back

x = -14

Front

Solve for y: 8y - 72 = 2y - 36

Back

y = 6

Front

Solve for m: 6m + 68 = 2m - 44

Back

m = -28

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.