How Many Solutions?

Front

What does it mean if an equation has infinite solutions?

Back

Any value for x will make the equation true.

Front

What does it mean if an equation has one solution?

Back

There is exactly one value for x that makes the equation true.

Front

What does it mean if an equation has no solution?

Back

No value for x will ever make the equation true.

Front

Solve the equation: 10x - 7x = 3x

Back

infinite solutions

Front

Solve the equation: 3x + 1 = 12x - 1

Back

one solution

Front

Solve the equation: 5x + 4 = 5x + 4

Back

infinite solutions

Front

What is an example of an equation with no solution?

Back

x + 2 = x - 3 (no value of x can satisfy this equation).

Front

If 2x + 3 = 2x + 5, how many solutions does it have?

Back

no solution

Front

If 4x - 2 = 4x - 2, how many solutions does it have?

Back

infinite solutions

Front

What is the term for an equation that is true for all values of x?

Back

infinite solutions