What does it mean if an equation has one solution?

It means there is exactly one value of the variable that makes the equation true.

What does it mean if an equation has no solution?

It means there is no value of the variable that can satisfy the equation.

What does it mean if an equation has infinite solutions?

It means any value of the variable will satisfy the equation.

Give an example of an equation with infinite solutions.

Example: $$3(x + 1) = 3x + 3$$ .

What is the significance of the number of solutions in equations?

It helps determine the relationship between variables and the nature of the equation.

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Math

Algebra

Equations With No Solutions

Equations: One Solution, No Solution, Infinite Solutions

Equations: One solution, No solution, Infinite solutions

Flashcard

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Mathematics

•

8th Grade

•

Practice Problem

•

Hard

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FLASHCARD QUESTION

Front

What is an equation with one solution?

Back

FLASHCARD QUESTION

Front

What is an equation with no solution?

Back

FLASHCARD QUESTION

Front

What is an equation with infinite solutions?

Back

FLASHCARD QUESTION

Front

Back

One solution.

FLASHCARD QUESTION

Front

Back

Infinite solutions.

FLASHCARD QUESTION

Front

Back

Infinite solutions.

FLASHCARD QUESTION

Front

Back

Infinite solutions.

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