Solving Equations with Variables on Both Sides

Front

Solve the equation: 7x - 4 = 3 + 8x

Back

x = -7

Front

What is the first step to solve this equation: 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

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

Back

y = 4

Front

Solve: 3c + 5 = 23

Back

c = 6

Front

Solve: 14p - 8 = 22 + 20p

Back

p = -5

Front

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

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the principle of balancing equations?

Back

The principle of balancing equations states that whatever you do to one side of the equation, you must do to the other side to maintain equality.

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

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

Back

The first step is to get all variable terms on one side of the equation and constant terms on the other side.

Front

Solve: 2x + 3 = 5x - 6

Back

x = 3.