Lecture 3 Mathematics: Algebra in Easy Roman Urdu | IBA Sukkur

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Lecture 3 – Algebra Basics | STHP IBA Sukkur Scholarship Test

Lecture 3 – Algebra Basics

STHP / IBA Sukkur Scholarship Test – Mathematics

Language: Roman Urdu + Easy English

Lecture Overview

Is lecture mein hum Algebra ke basic concepts parhenge. Ye topic STHP aur IBA Sukkur Scholarship Test mein bohat frequently aata hai. Har cheez ko step-by-step aur simple Roman Urdu mein explain kiya gaya hai.

Topic 1: What is Algebra?

Algebra mathematics ka wo hissa hai jahan hum numbers ki jagah letters (x, y, a, b) use karte hain.

Roman Urdu: Jab number unknown ho to usay letter se represent kiya jata hai.

Example:

x + 5 = 10

Yahan x ek unknown number hai.

Topic 2: Variables & Constants

Variable

Jo value change ho sakti ho usay variable kehte hain.

  • x, y, a, b

Constant

Jo value fix ho aur change na ho usay constant kehte hain.

  • 5, 10, 25

Topic 3: Algebraic Expressions

Algebraic expression numbers, variables aur signs (+ − × ÷) se mil kar banti hai.

  • x + 2
  • 3y − 5
  • 2a + 4b

Note: Expression mein equal sign (=) nahi hota.

Topic 4: Algebraic Equation

Jab expression ke darmiyan equal sign (=) aa jaye to wo algebraic equation ban jati hai.

x + 5 = 9

Topic 5: Important Identity (Difference of Squares)

Formula:

(a − b)(a + b) = a² − b²

Example:

(x − 3y)(x + 3y)

= x² − (3y)²

= x² − 9y²

Topic 6: Simplification

Simplification ka matlab expression ko easy aur short form mein lana.

  • 2x + 3x = 5x
  • 5a − 2a = 3a

Solved MCQs (STHP Pattern)

Q1: 3x + 7x = ?

Answer: 10x

Q2: (a − b)(a + b) = ?

Answer: a² − b²

Practice Exercise

  • 4x + 6x = ?
  • 9y − 3y = ?
  • (x − 5)(x + 5)
  • (a − 2b)(a + 2b)

Exam Tips

  • Formulas ko samajh kar yaad karein
  • Plus aur minus signs par focus rakhein
  • Simplification questions daily practice karein

Next Lecture

Lecture 4: Linear Equations & Word Problems

© STHP / IBA Sukkur Mathematics Preparation

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