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Mathematical Operations and Foundational Constraints

by Dr. Osama M. Khaled — published May 23, 2026 — last modified May 23, 2026 08:55 AM — filed under: Year 7, Year 8

Negative Numbers and Division by Zero

Located in Mathematics / Calculus / From Arithmetic to Algebra

Perform several additions to evaluate expressions.

by Dr. Osama M. Khaled — published Dec 21, 2025 — last modified Dec 23, 2025 10:41 AM — filed under: Year 7

To evaluate expressions that contain several additions, we make repeated use of the rules for adding two integers.

Located in Mathematics / … / Integers / Adding Integers

Pressure in a liquid

by Dr. Osama M. Khaled — published Jul 16, 2025 — last modified Jul 19, 2025 10:28 PM — filed under: Year 7, Year 8

Pressure in a liquid increases with depth below the surface

Located in Physics / Liquids and Gases

Properties and Theory of Integers

by Dr. Osama M. Khaled — published May 23, 2026 — last modified May 23, 2026 05:02 AM — filed under: Year 7, Year 8

Even/Odd Numbers, Factors, Prime Numbers, HCF, and LCM

Located in Mathematics / Calculus / From Arithmetic to Algebra

Rules and Properties

by Dr. Osama M. Khaled — published Jun 04, 2022 — last modified Jul 12, 2024 10:01 PM — filed under: Year 7

Rules and properties to understand in order to successfully solve an algebraic equation

Located in Mathematics / Algebra / Basics

Solve application problems by adding integers

by Dr. Osama M. Khaled — published Dec 26, 2025 — last modified Feb 18, 2026 03:30 PM — filed under: Year 7

There are many application problems that can be solved by adding integers. Here are few of them.

Located in Mathematics / … / Integers / Adding Integers

Solve application problems by subtracting integers

by Dr. Osama M. Khaled — published Apr 25, 2026 — last modified Apr 29, 2026 08:04 PM — filed under: Year 7

Subtraction finds the difference between two numbers. When we find the difference between the maximum value and the minimum value of a collection of ...

Located in Mathematics / … / Integers / Subtracting Integers

Solve percent equation to find the percent

by Dr. Osama M. Khaled — published Jul 19, 2024 — last modified Jul 25, 2024 11:06 AM — filed under: Year 7

We translate the words of the problem into a percent equation and solve it.

Located in Mathematics / … / Percent / Solving Percent Problems Using Percent Equations and Proportions

Solve percent equations to find the amount

by Dr. Osama M. Khaled — published Jul 18, 2024 — last modified Jul 18, 2024 08:08 PM — filed under: Year 7

We translate the percent sentence into a percent equation and then find the unknown number

Located in Mathematics / … / Percent / Solving Percent Problems Using Percent Equations and Proportions

Solve percent equations to find the base

by Dr. Osama M. Khaled — published Aug 02, 2024 — last modified Aug 04, 2024 10:39 AM — filed under: Year 7

We translate the percent sentence into a percent equation and then find the unknown.

Located in Mathematics / … / Percent / Solving Percent Problems Using Percent Equations and Proportions

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