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  • John Rhodes
  • June 21, 2023
  • Algebra

Mastering Algebraic Expressions: And Simplifying Like Terms

Like terms They are the same variable raised to the same power X is not like x to the second power but 2a+3a+4=5a+4 Like terms are terms...
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  • John Rhodes
  • June 21, 2023
  • Algebra

Mastering The Art Of Simplifying Mathematical Expressions: Techniques For Streamlining Equations And Expressions

Simplifying an expression or equation You use the properties, join any like terms, etc. until you cannot do anything else 2a(3a+4+a) =2a(4a+4) = 8a squared+8a Simplifying an...
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  • John Rhodes
  • June 21, 2023
  • Algebra

Inverse Relationships In Math: Exploring The Negative Correlation Between Variables

Inverse relationship Operations that can undo each other. + & – are inverse operations × & ÷ are inverse operations An inverse relationship exists between two variables...
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  • John Rhodes
  • June 21, 2023
  • Algebra

Mastering One-Step Inequalities: A Complete Guide With Examples

1-step equation (inequality) Requires only one operation to solve the equation 7+x=21 or 2x=24 A one-step equation (inequality) is a mathematical expression that can be solved in...
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  • John Rhodes
  • June 21, 2023
  • Geometry

Tips For Proving Overlapping Triangles Congruent: Identify Common Segments And Angles, Use Congruence Theorems, Prove Congruence Using Congruent Parts, And Consider Additional Information.

What often helps when trying to prove overlapping triangles congruent? redrawing the two triangles separately When trying to prove overlapping triangles congruent, there are a few things...
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  • John Rhodes
  • June 21, 2023
  • Geometry

The Power Of The Hahn-Banach Theorem In Functional Analysis And Its Applications In Mathematics And Physics

HA theorem If the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse an acute angle of another triangle right triangle, then...
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  • John Rhodes
  • June 21, 2023
  • Geometry

Hypotenuse-Leg Theorem: Congruence In Right Triangles

HL theorem If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the two...
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  • John Rhodes
  • June 21, 2023
  • Geometry

How The Midpoint Theorem Relates To Triangles And Line Bisecting – Explained

CD bisects ABC ACD congruent DCB- def of an angle bisector To answer this question, we need to understand what it means for a line to bisect...
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