Solving Equations Special Cases

Front

What does it mean when an equation has one solution?

Back

Only ONE solution will make the equation true.

Front

What does it mean when an equation has no solutions?

Back

The equation will NEVER be true when any value is substituted in for the variable.

Front

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

Back

The equation is always TRUE when any value is substituted in for the variable.

Front

Solve: 5x + 4 = 5x − 3

Back

No solutions.

Front

Solve: 6(y + 4) = 6y + 10

Back

No solutions.

Front

Solve: 4x + 1 = 8x − 3

Back

x = 1.

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

Subtract 3 from both sides.

Front

What is the solution to the equation 3x - 5 = 7?

Back

x = 4.

Front

What is the solution to the equation 2(x - 1) = 2x + 3?

Back

No solutions.

Front

What is the solution to the equation 7x + 2 = 7x - 5?

Back

No solutions.