Supplementary Mathematics

2. Review
𝟏𝟖 + 𝟓𝟎

3. Review
𝒙 𝟗𝒙 − 𝟏𝟔𝒙 𝟑

4. Review
𝟕 − 𝟓
𝟕 + 𝟓

5. Factorizationof AlgebraicExpression
CHAPTER 8

6. (𝑎 + 7)2
(𝑥 + 𝑦)2
= 𝑥2
+ 2𝑥𝑦 + 𝑦2
− 𝑃𝑒𝑟𝑓𝑒𝑐𝑡 𝑆𝑞𝑢𝑎𝑟𝑒 𝐵𝑖𝑛𝑜𝑚𝑖𝑎𝑙 𝑃𝑎𝑡𝑡𝑒𝑟𝑛

7. (4𝑥 + 5𝑦)2
(𝑥 + 𝑦)2
= 𝑥2
+ 2𝑥𝑦 + 𝑦2
− 𝑃𝑒𝑟𝑓𝑒𝑐𝑡 𝑆𝑞𝑢𝑎𝑟𝑒 𝐵𝑖𝑛𝑜𝑚𝑖𝑎𝑙 𝑃𝑎𝑡𝑡𝑒𝑟𝑛

8. (𝑥 − 8)2
(𝑥 + 𝑦)2
= 𝑥2
− 2𝑥𝑦 + 𝑦2
− 𝑃𝑒𝑟𝑓𝑒𝑐𝑡 𝑆𝑞𝑢𝑎𝑟𝑒 𝐵𝑖𝑛𝑜𝑚𝑖𝑎𝑙 𝑃𝑎𝑡𝑡𝑒𝑟𝑛

9. (4t + 9)(4t – 9)
𝑥 + 𝑦 𝑥 − 𝑦 = 𝑥2
− 𝑦2
− 𝑃𝑟𝑜𝑑𝑢𝑐𝑡 𝑜𝑓 𝑆𝑢𝑚 𝑎𝑛𝑑 𝐷𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑐𝑒

10. Factorize the following:
𝒙 𝟐
− 𝟐

12. Radical Equations: Review
𝒙 + 𝟒 = 𝟑

13. Radical Equations: Review
𝒙 + 𝟓 − 𝟏 = 𝟒

14. Radical Equations: Review
𝟑𝒙 + 𝟒 − 𝟐 =3

15. Radical Equations: Review
𝒊𝒇 𝟒𝒑 = 𝟖,
𝐟𝐢𝐧𝐝 𝐭𝐡𝐞 𝐯𝐚𝐥𝐮𝐞 𝐨𝐟 𝐩

16. Radical Equations: Review
𝒊𝒇 𝟒(𝒎 + 𝟏) = 𝟐𝟎,
𝐟𝐢𝐧𝐝 𝐭𝐡𝐞 𝐯𝐚𝐥𝐮𝐞 𝐨𝐟 𝐦

17. Radical Equations: Review
𝟏𝟖 𝟐
Find the perimeter.

18. Radical Equations: Review
Find the length of BC.
C
DA
B
15
5
𝟓 𝟓

19. Factorize the following:
𝟖 − (𝒙 + 𝟏) 𝟐

20. Factorize the following:
𝒙 𝟐
− 𝟔𝒙 + 𝟗

21. Factorize the following:
𝟐𝒙 𝟐
+ 𝟕𝒙 +3
𝐹𝑎𝑐𝑡𝑜𝑟𝑖𝑧𝑎𝑡𝑖𝑜𝑛 𝑈𝑠𝑖𝑛𝑔 𝑡ℎ𝑒 𝐶𝑟𝑜𝑠𝑠 𝑀𝑒𝑡ℎ𝑜𝑑

22. Activity:
Discovering Mathematics 3:
p. 155 Exercise 8.1