One, No, Infinite Solutions

Front

What does it mean if an equation has Infinite Solutions?

Back

An equation has infinite solutions when every value of the variable satisfies the equation, meaning the two sides of the equation are identical for all values.

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 make the equation true, indicating a contradiction.

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 satisfies the equation.

Front

Example of an equation with Infinite Solutions: 6x + 3 = 6x + 3. What is the solution?

Back

Infinite Solutions.

Front

Example of an equation with No Solution: 4p + 1 = 49 - 7. What is the solution?

Back

No Solution.

Front

Example of an equation with One Solution: 3t + 5 = 4t + 7. What is the solution?

Back

One Solution.

Front

How can you identify an equation with Infinite Solutions?

Back

If simplifying the equation leads to a true statement like 0 = 0, it has infinite solutions.

Front

How can you identify an equation with No Solution?

Back

If simplifying the equation leads to a false statement like 0 = 5, it has no solution.

Front

What is the first step to solve an equation?

Back

Isolate the variable on one side of the equation.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming its correctness.