Equations with Variables on Both Sides

Front

What is an equation with variables on both sides?

Back

An equation that has variables on both the left and right sides, requiring manipulation to isolate the variable.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation until the variable is alone on one side.

Front

Solve for y: 3y + 16 = 5y

Back

y = 8

Front

What is the first step to solve 4(1-x) + 3x = -2(x+1)?

Back

Distribute the 4 and -2 to simplify the equation.

Front

Solve for x: 4(1-x) + 3x = -2(x+1)

Back

x = -6

Front

What does it mean to combine like terms?

Back

To add or subtract terms that have the same variable raised to the same power.

Front

What is the first step to solve 1 + 4n - 6n = 1 - 8n?

Back

Combine the like terms 4n and -6n.

Front

Solve for y: 13y - 18 = -5y + 36

Back

y = 3

Front

What is the purpose of moving variables to one side of the equation?

Back

To simplify the equation and make it easier to solve for the variable.

Front

Solve for k: 4k + 24 = 6k - 10

Back

k = 17