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  1. Simplify complex fractions
    by Dr. Osama M. Khaled — published Jul 15, 2024 — last modified Jul 15, 2024 08:55 PM — filed under: Year 8
    Fractions whose numerators and/or denominators contain fractions are called complex fractions
    Located in Mathematics / … / Fractions and Mixed Numbers / Order of Operations and Complex Fractions
  2. Simplify expressions to solve equations
    by Dr. Osama M. Khaled — published Nov 18, 2023 — last modified Jul 12, 2024 10:16 PM — filed under: Year 8
    When solving equations, we should simplify the expressions that make up the left and right sides before applying any properties of equality. Often, that ...
    Located in Mathematics / Algebra / Solving Equations with Equality
  3. Specific Gravity
    by Dr. Osama M. Khaled — published Aug 14, 2024 — last modified Aug 17, 2024 04:20 AM — filed under: Year 8, Year 9, Year 10
    The specific gravity of a substance is often listed in tables instead of either mass density or weight density
    Located in Physics / Solids
  4. Use congruence properties to prove that two triangles are congruent
    by Dr. Osama M. Khaled — published Nov 29, 2025 — last modified Dec 06, 2025 11:29 PM — filed under: Year 8
    Sometimes it is possible to conclude that two triangles are congruent without having to show that three pairs of corresponding angles are congruent and three ...
    Located in Mathematics / Geometry / Congruent Triangles and Similar Triangles
  5. Use more than one property of equality to solve equations
    by Dr. Osama M. Khaled — published Nov 07, 2023 — last modified Jul 12, 2024 10:16 PM — filed under: Year 8
    More complicated equations may require using more than one property to solve it.
    Located in Mathematics / Algebra / Solving Equations with Equality
  6. Use the addition property of equality
    by Dr. Osama M. Khaled — published Sep 12, 2023 — last modified Jul 12, 2024 10:14 PM — filed under: Year 8
    Adding the same number to both sides of an equation does not change its solution.
    Located in Mathematics / Algebra / Solving Equations with Equality
  7. Use the converse of the Pythagorean theorem
    by Dr. Osama M. Khaled — published Oct 27, 2025 — last modified Oct 29, 2025 11:26 AM — filed under: Year 8
    The converses of some statements are true, while the converses of other statements are false. It is interesting to note that the converse of the Pythagorean ...
    Located in Mathematics / Geometry / The Pythagorean Theorem
  8. Use the division property of equality
    by Dr. Osama M. Khaled — published Nov 04, 2023 — last modified Jul 12, 2024 10:15 PM — filed under: Year 8
    Dividing both sides of an equation by the same nonzero number does not change its solution.
    Located in Mathematics / Algebra / Solving Equations with Equality
  9. Use the multiplication property of equality
    by Dr. Osama M. Khaled — published Sep 29, 2023 — last modified Jun 03, 2025 11:24 AM — filed under: Year 8
    Multiplying both sides of an equation by the same nonzero number does not change its solution.
    Located in Mathematics / Algebra / Solving Equations with Equality
  10. Use the Pythagorean theorem to find the exact length of a side of a right triangle
    by Dr. Osama M. Khaled — published Oct 20, 2025 — last modified Oct 27, 2025 08:37 AM — filed under: Year 8
    If we know the lengths of any two sides of a right triangle, we can find the length of the third side using the Pythagorean theorem.
    Located in Mathematics / Geometry / The Pythagorean Theorem
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