How to solve a linear equation when there are no solutions

How to solve a linear equation when there are no solutions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains solving equations using three steps: simplifying, getting variables on the same side, and verifying solutions. It demonstrates a scenario where an equation has no solution, meaning no value for the variable makes the equation true. The importance of verifying solutions is emphasized, especially in tests. The tutorial is a review of algebraic concepts, focusing on understanding when equations have no solutions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving an equation according to the video?

Simplify using the distributive property

Add constants to both sides

Multiply both sides by a constant

Combine like terms

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean when an equation results in a statement like '5 equals 6'?

The equation is incorrect

The equation has infinite solutions

The equation has no solution

The equation has a unique solution

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you verify if a solution to an equation is correct?

By plugging the solution back into the equation

By graphing the equation

By asking a teacher

By solving the equation again

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to check your solutions, especially during tests?

To save time

To avoid using a calculator

To ensure the solution is correct

To impress the teacher

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean if no value of X satisfies an equation?

The equation has no solution

The equation needs more variables

The equation is not linear

The equation is too complex