Skill 1b: Solving Equations with Variables on Both Sides

Front

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

Back

Isolate one of the variables by moving terms involving that variable to one side of the equation.

Front

Solve for x: 7x - 5 = 8x - 24 + 5

Back

x = 24

Front

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

Back

To isolate a variable means to get that variable alone on one side of the equation, making it easier to solve.

Front

Solve for x: x - 19 = -x + 21

Back

x = 20

Front

What is the principle of balancing equations?

Back

Whatever you do to one side of the equation, you must do to the other side to maintain equality.

Front

Solve for y: 18 - 3y = 7y

Back

y = 1.8

Front

What is a variable in an equation?

Back

A variable is a symbol (often a letter) that represents an unknown value in an equation.

Front

Solve for x: 10x - 10 = 9x + 7 + 4x - 2

Back

x = -5

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

Solve for x: 5x + 24 = 3x

Back

x = -12