2-4 Solving Equations with Variables on Both Sides

Front

Define 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

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

Back

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

Front

Solve: 4x - 3 = 6x - 19

Back

x = 8

Front

Solve: 9x + 1 = 64

Back

x = 7

Front

What does it mean to isolate a variable?

Back

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

Front

Solve: 4k + 24 = 6k - 10

Back

k = 17

Front

What is the purpose of checking your solution in an equation?

Back

To verify that the solution satisfies the original equation.

Front

Solve: 14x + 16 = 13x - 42

Back

x = -58

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: 3x + 16 = 7x + 64

Back

x = -12