Solving 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

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 for x: 3x + 5 = 2x + 10

Back

x = 5

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 for x: 4x - 7 = 2x + 5

Back

x = 6

Front

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

Back

To simplify the equation, making it easier to solve.

Front

Solve for x: 2x + 3 = 3x - 4

Back

x = 7

Front

What is a flat fee in a pricing equation?

Back

A fixed charge that does not change regardless of the quantity or time.

Front

Solve for x: 5x + 2 = 3x + 10

Back

x = 4

Front

What does it mean when two companies charge the same amount?

Back

It means that the equations representing their charges are equal at a certain value of the variable.