One solution, no solution, infinitely many solutions

Front

What is the definition of infinite solutions?

Back

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

Front

What is the definition of no solution?

Back

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

Front

What is the definition of one solution?

Back

Only this ONE solution will make the equation true.

Front

Simplify the equation: 3x - 7 = 3(x - 3) + 2. What type of solutions does it have?

Back

Infinite solutions.

Front

Solve: 3x + 15 = 3(x + 5). What type of solutions does it have?

Back

Infinitely Many Solutions.

Front

Solve: 12(x + 3) = 4(2x + 9) + 4x. What type of solutions does it have?

Back

Infinite Solutions.

Front

What does it mean if an equation has no solution?

Back

The equation is contradictory and cannot be satisfied by any value of the variable.

Front

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

Back

The equation is an identity and holds true for all values of the variable.

Front

Give an example of an equation with no solution.

Back

x + 2 = x + 3.

Front

Give an example of an equation with infinite solutions.

Back

2(x + 1) = 2x + 2.