Graphing and solving a two step inequality

Graphing and solving a two step inequality

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve inequalities by treating them as equations. It emphasizes the importance of undoing operations to isolate the variable, starting with addition or subtraction, followed by division or multiplication. The tutorial also highlights the need to adjust inequality symbols when multiplying or dividing by negative numbers. Finally, it demonstrates how to graph the solution on a number line, ensuring the correct representation of the inequality.

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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 inequality by converting it into an equation?

Multiply both sides by a negative number

Flip the inequality symbol

Add or subtract to isolate the variable

Divide both sides by the variable

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving an equation, what operation should be used to eliminate division by a number?

Addition

Subtraction

Division

Multiplication

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to be cautious when multiplying or dividing by a negative number in an inequality?

It has no effect on the inequality

It makes the equation unsolvable

It requires flipping the inequality symbol

It changes the variable

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does an open circle on a number line graph indicate?

The number is included in the solution

The number is not part of the solution

The solution is undefined

The inequality is incorrect

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you verify the solution of an inequality on a number line?

By ensuring the inequality symbol is flipped

By checking if the variable is isolated

By using test points to see if they satisfy the inequality

By solving the equation again