Special Cases for Equations

Front

Solve: 5x + 4 = 5x − 3

Back

no solutions

Front

What does it mean when an equation has one solution?

Back

only ONE solution will make the equation true

Front

Solve: 10x + 3 + 3x = 5x + 1 + 8x + 2

Back

infinitely many solutions

Front

Solve: 2y − 3 = 2y − 3

Back

infinitely many solutions

Front

Solve: 4x + 1 = 8x − 3

Back

x = 1

Front

What is a special case in equations?

Back

A situation where the equation has no solutions or infinitely many solutions.

Front

Define 'no solutions' in the context of equations.

Back

An equation that has no values for the variable that will make it true.

Front

Define 'infinitely many solutions' in the context of equations.

Back

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

Front

What is the first step in solving linear equations?

Back

Combine like terms on both sides of the equation.

Front

What does it mean if two equations are equivalent?

Back

They have the same solution set.