One Solution, No Solution, Infinite Solutions

Front

What does it mean if an equation has one solution?

Back

An equation has one solution when there is exactly one value of the variable that makes the equation true.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when there is no value of the variable that can satisfy the equation.

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions when any value of the variable makes the equation true.

Front

Solve the equation: 2x + 3 = 2(x + 1) + 1

Back

No Solution

Front

Solve the equation: 4x - 8 = 4(x - 2)

Back

Infinitely Many Solutions

Front

What is the condition for an equation to have no solution?

Back

The left side and right side of the equation must represent two parallel lines that never intersect.

Front

What is the condition for an equation to have infinite solutions?

Back

The left side and right side of the equation must represent the same line.

Front

Solve the equation: 5x + 10 = 5(x + 2)

Back

Infinitely Many Solutions

Front

Solve the equation: 3x - 5 = 3x + 2

Back

No Solution

Front

What is an example of an equation with one solution?

Back

x + 2 = 5, where x = 3.