Equations with Variables on Both Sides

Front

What is an equation with variables on both sides?

Back

An equation where the variable appears on both sides of the equal sign, requiring manipulation to isolate the variable.

Front

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

Back

y = -3

Front

Solve for y: 2y - 5 = y + 4

Back

y = 9

Front

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

Back

x = -6

Front

Solve for k: 4k + 39 = 7k + 6

Back

k = 11

Front

Solve for y: 2y + 3 = y + 5

Back

y = 2

Front

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

Back

Identify and isolate the variable by moving all terms involving the variable to one side of the equation.

Front

What does it mean to isolate a variable?

Back

To manipulate the equation so that the variable is alone on one side of the equation.

Front

What is the goal when solving equations?

Back

To find the value of the variable that makes the equation true.

Front

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

Back

Forgetting to perform the same operation on both sides of the equation.