Solving Linear Equations with Special Cases

Front

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

Back

The equation is true for all values of the variable.

Front

What does it mean when an equation has no solution?

Back

There is no value for the variable that will make the equation true.

Front

What does it mean when an equation has one solution?

Back

Only one specific value for the variable will make the equation true.

Front

Solve: 2y − 3 = 2y − 3

Back

infinitely many solutions

Front

Solve: 9x + 7 − 5x = 4x − 7

Back

no solutions

Front

What is an identity in terms of equations?

Back

An identity is an equation that is true for all values of the variable.

Front

If you simplify an equation and get a false statement like 7 = 9, what does it indicate?

Back

The equation has no solution.

Front

What is the first step in solving a linear equation?

Back

Isolate the variable on one side of the equation.

Front

What is the purpose of showing work in solving equations?

Back

To demonstrate understanding and to receive credit for the process.

Front

What is the solution to the equation 3x + 5 = 2x + 10?

Back

x = 5