EQUATION (Variable 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

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

What does it mean if an equation has infinitely many solutions?

Back

It means that there are countless values for the variable that can satisfy the equation, often resulting from equivalent expressions.

Front

Solve: 2x + 1 = 2x - 1

Back

No Solution

Front

Solve: -8x - 8 + 3x - 6 = -3x + 2

Back

x = -8

Front

Solve: 7x + 19 = -2x + 55

Back

x = 4

Front

Solve: 3x + 15 = 3(x + 5)

Back

Infinitely Many Solutions

Front

Solve: 10x + 9 = 4x - 9

Back

x = -3

Front

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

Back

Combine like terms on both sides of the equation.

Front

What is the goal when solving an equation?

Back

To isolate the variable on one side of the equation.