Special Cases for Equations

Front

Solve: 3x + 1 + 2x = 4x − 2 − 7x + 7

Back

x = ½

Front

Solve: 5x + 4 = 5x − 3

Back

no solutions

Front

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

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: 9y − 5 = 2y + 9

Back

y = 2

Front

What is an equation with infinitely many solutions?

Back

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

Front

What is an equation with no solutions?

Back

An equation that is never true for any value of the variable.

Front

Solve: 2x + 3 = 2x + 5

Back

no solutions

Front

Solve: 4x - 7 = 2x + 1

Back

x = 4

Front

What is the first step in solving an equation?

Back

Isolate the variable on one side of the equation.