Types of Solutions

Front

What is a solution in algebra?

Back

A solution is a value that, when substituted for the variable in an equation, makes the equation true.

Front

What does it mean if an equation has one solution?

Back

Only this ONE solution will make the equation true.

Front

What does it mean if an equation has no solution?

Back

No matter what constant is substituted in for the variable, the equation will NEVER be true.

Front

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

Back

The equation is true for all values of the variable.

Front

Solve for r: 3r - 5 = 2r

Back

r = 5

Front

Solve for x: -1 + 2x = 6x + 11

Back

x = -3

Front

How many solutions does the equation 3(10x + 2) = 30x + 6 have?

Back

Infinite Solutions

Front

What is the definition of infinitely many solutions?

Back

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

Front

What is the definition of one solution?

Back

Only one specific value of the variable makes the equation true.

Front

What is the definition of no solution?

Back

The equation has no values of the variable that can make it true.