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, meaning the two sides of the equation are equivalent for all values.

Front

Solve: 3x - 7 = 3(x - 3) + 2

Back

Infinite solutions

Front

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

Back

Infinitely many solutions

Front

Solve: 2x + 1 = 2x - 1

Back

No solution

Front

What is the solution to the equation 4x + 8 = 4(x + 2)?

Back

Infinite solutions

Front

What is the solution to the equation x + 5 = x + 3?

Back

No solution

Front

What is the solution to the equation 5x - 10 = 5(x - 2)?

Back

Infinite solutions

Front

What is the solution to the equation 6x + 12 = 6(x + 2)?

Back

Infinite solutions