Solving Equations with Variables on Both Sides

Front

What does it mean to have 'no solution' in an equation?

Back

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

Front

Solve: 2x + 1 = 2x - 1

Back

No Solution

Front

What is the first step to solve the equation 5x + 15 = 10x - 40?

Back

Subtract 5x from both sides.

Front

Solve: 5x + 15 = 10x - 40

Back

x = 11

Front

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

Back

It involves adding or subtracting terms that have the same variable and exponent.

Front

Solve: 4( x + 2) = 16

Back

x = 2

Front

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

Back

It means that any value for the variable will satisfy the equation.

Front

Solve: 4x - 5x + 9 = 5x - 9

Back

x = 3

Front

What is the first step to solve the equation 1 + 4n - 6n = 1 - 8n?

Back

Combine the like terms 4n + -6n.

Front

What is the solution to the equation 2x + 1 = 2x - 1?

Back

No Solution