No, One or Many Solutions

Front

What does it mean if an equation has no solutions?

Back

The equation is never true for any value of the variable.

Front

What does it mean if an equation has one solution?

Back

There is exactly one value of the variable that makes the equation true.

Front

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

Back

No matter what constant is substituted in for the variable, the equation is ALWAYS true.

Front

Solve the equation: 3x - 8 = 3(x - 4) + 1

Back

No solutions

Front

Solve: 3x + 15 = 3(x + 5)

Back

Infinitely many solutions

Front

Solve the equations: 8z - 22 = 3(3z + 11) - z

Back

No solutions

Front

Solve the equation: 3r - 5 = 2r

Back

One solution

Front

What is the first step in solving an equation?

Back

Isolate the variable by performing inverse operations.

Front

What is an identity in mathematics?

Back

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

Front

What is a contradiction in mathematics?

Back

An equation that has no solutions.