Solving Equations with No and Infinite Solutions

Solving Equations with No and Infinite Solutions

Assessment

Flashcard

Mathematics

8th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What does it mean for an equation to have no solution?

Back

An equation has no solution when there are no values for the variable that can satisfy the equation, often resulting in a contradiction.

2.

FLASHCARD QUESTION

Front

What is an example of an equation with no solution?

Back

An example is 2(n + 2) = 4n + 1 - 2n, which simplifies to a contradiction.

3.

FLASHCARD QUESTION

Front

What does it mean for an equation to have infinite solutions?

Back

An equation has infinite solutions when any value for the variable satisfies the equation, often resulting in an identity.

4.

FLASHCARD QUESTION

Front

What is an example of an equation with infinite solutions?

Back

An example is 3x + 6 = 3(x + 2), which simplifies to a true statement for all x.

5.

FLASHCARD QUESTION

Front

How can you determine if an equation has no solution?

Back

You can determine if an equation has no solution by simplifying it to a contradiction, such as 0 = 5.

6.

FLASHCARD QUESTION

Front

What is the first step in solving a linear equation?

Back

The first step is to simplify both sides of the equation, combining like terms and eliminating parentheses.

7.

FLASHCARD QUESTION

Front

What is the significance of isolating the variable in an equation?

Back

Isolating the variable helps to find its value by getting it alone on one side of the equation.

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