Master Unit 5 Algebraic Expressions (NBF/FBISE new book 2025-2026) with concise solutions. Aim 90+ marks.
hsanotes.com Features:
- Updated for new book session 2025-2026
- Solved Ex 5.1 + Miscellaneous
- Reducing rational expressions
- Evaluating polynomials
- Simplification techniques
- Variable substitutions
- Factoring numerators/denominators
- Restrictions on variables
Target: FBISE students & affiliated schools – Army Public School, Fazaia Inter College, Beaconhouse, Roots Millennium, The City School, Lahore Grammar School, Karachi Grammar School, OPF Boys/Girls College, Bahria College, PAF College.
Key Solved Examples (short form):
- Ex 5.1 Q1(i) 15ax³y² / 25a²xy⁶ = 3x² / 5ay⁴
- Q1(ii) 38k²p³m⁴ / 57k³pm² = 2p²m² / 3k
- Q1(iii) mn⁴pq / m²n³p⁴ = nq / mp³
- Q1(iv) 3abc / 15a²b²c = 1 / 5ab
- Q1(v) 46l³m⁴n⁵ / 69l²m³n⁴ = 2lmn / 3
- Q1(vi) (x-3)/(3-x) = -1
- Q1(vii) (x²-81)/(x+9) = x-9
- Q1(viii) (r+3)(r+4)/r²-16 = (r+3)/(r-4)
- Q2(i) 3(r²-s²) at r=2,s=-1 = 9
- Q2(ii) (1/2)mv² at m=18.75,v=5.6 = 293.94
- Q2(iii) √(2gs) at g=32.2,s=144.9 ≈96.6
- Q2(iv) (3x-y+1)/z at x=-1/2,y=3,z=-1/3 = -7.5
- Q2(v) 0.1d² + 0.01d +1 at d=-0.2 = 1.002
- Q2(vi) (4/7)b³ – (7/2)b² + b -3 at b=1/2 = -4/7 + (-7/8) + 1/2 -3 (calculated steps)
Useful Links:
- FBISE official: https://www.fbise.edu.pk
- National Book Foundation (NBF): https://www.nbf.org.pk
- Army Public Schools: https://apsacssectt.edu.pk
- Beaconhouse: https://www.beaconhouse.net
View PDF for full solutions, graphs & tables.
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