Master Solving and Graphing multi step inequalities

Master Solving and Graphing multi step inequalities

Assessment

Interactive Video

•

Mathematics, Information Technology (IT), Architecture

•

11th Grade - University

•

Practice Problem

•

Hard

Created by

Wayground Content

Used 1+ times

FREE Resource

The video tutorial explains how to solve and graph multi-step inequalities. It covers the process of treating inequalities like equations, using inverse operations, and the importance of flipping the inequality sign when multiplying or dividing by a negative number. The tutorial includes examples of solving inequalities and graphing their solutions on a number line, emphasizing the need to keep variables positive to avoid errors. Advanced examples demonstrate handling inequalities with parentheses.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a key difference between solving equations and inequalities?

Inequalities require a graph for solutions.

Equations always have multiple solutions.

Inequalities do not use inverse operations.

Equations require flipping the sign when dividing by a negative.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to keep the variable's coefficient positive when solving inequalities?

To avoid using a number line.

To simplify the equation.

To prevent flipping the inequality sign.

To ensure the solution is an integer.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do if you have a negative coefficient while solving an inequality?

Always divide by the negative number.

Flip the inequality sign.

Add a positive number to both sides.

Ignore the negative sign.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When graphing the solution x < 1/2 on a number line, what should you do?

Shade to the right of 1/2.

Use an open circle at 1/2.

Shade only at 1/2.

Use a closed circle at 1/2.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When is it necessary to flip the inequality sign?

When adding a negative number.

When multiplying or dividing by a negative number.

When subtracting a positive number.

When the variable is on the right side.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you represent a non-integer solution on a number line?

Use a closed circle.

Use an open circle.

Use a shaded region.

Use a dashed line.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a common mistake when graphing inequalities with variables on the right side?

Not rewriting the inequality for easier graphing.

Using a closed circle for all inequalities.

Forgetting to use a number line.

Always shading to the left.

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