Properties of Inequalities and Equality

Properties of Inequalities and Equality

Assessment

Interactive Video

Mathematics

6th - 8th Grade

Hard

Created by

Thomas White

FREE Resource

This lesson, led by Mrs. Apia, covers the properties of inequalities, focusing on when inequality symbols are preserved or reversed. The lesson begins with a review of equality properties, then explores inequalities through various operations. Students learn that adding or subtracting the same number to both sides of an inequality preserves the symbol, while multiplying or dividing by a positive number also preserves it. However, multiplying or dividing by a negative number reverses the inequality symbol. The lesson includes practical examples and exercises to reinforce these concepts.

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8 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of Lesson 12?

Properties of inequalities

Properties of equality

Properties of multiplication

Properties of addition

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which property states that if a = b, then a + c = b + c?

Multiplication property of equality

Subtraction property of equality

Addition property of equality

Division property of equality

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When is an inequality reversed?

When multiplying by a positive number

When multiplying or dividing by a negative number

When subtracting a negative number

When adding a positive number

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean to preserve an inequality symbol?

The symbol is replaced with an equal sign

The symbol is removed

The symbol remains the same

The symbol changes direction

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the inequality symbol when you add the same number to both sides?

It is removed

It becomes an equal sign

It is preserved

It is reversed

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying both sides of an inequality by a positive number?

The inequality symbol is removed

The inequality symbol becomes an equal sign

The inequality symbol is preserved

The inequality symbol is reversed

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What must be done to the inequality symbol when dividing by a negative number?

Remove the symbol

Reverse the symbol

Preserve the symbol

Replace with an equal sign

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When is the inequality symbol preserved?

When multiplying by zero

When adding or subtracting any number

When dividing by a negative number

When multiplying by a negative number