Equations with Variables on Both Sides

Front

What is an equation with variables on both sides?

Back

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

Front

Solve: 7x = 3x + 24

Back

x = 6

Front

What is the first step in solving an equation with variables on both sides?

Back

Combine like terms and move all variable terms to one side of the equation.

Front

Solve: 2(4x-3) - 8 = 4 + 2x

Back

x = 3

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is alone on one side, making it easy to find its value.

Front

Solve: 5y + 34 = -2(-7y+1)

Back

y = 4

Front

What is the purpose of simplifying both sides of an equation?

Back

To make it easier to solve for the variable by reducing complexity.

Front

Solve: 4x - 5x + 9 = 5x - 9

Back

x = 3

Front

What is a common mistake when solving equations with variables on both sides?

Back

Forgetting to apply the same operation to both sides of the equation.

Front

Solve: 30 + 6t = 11t

Back

t = 6