8-Algebra-5 sheet

© 2009 1 -2011 tutorco.com Q1. Simplify (x + 3) (x + 4) Q2. Prove that (x + 5) (x – 5) = x2 – 25 Q3. Simplify (a – 2) (a – 1) GRADE 8 TOPIC: ALGEBRA 8/9/5/S © 2009 2 -2011 tutorco.com Q4. Simplify (ab + 1) (1 – ab) Q5. Simplify (5 -s) (2 -s) © 2009 3 -2011 tutorco.com Match the following: Q10. Prove that (y – 4)2 is not equal to (y – 2) (y + 2) Q6. (a – 1) (a + 5) = Q7. (a + 1) (a + 5) = Q8. (a + 1) (a – 5) = Q9. (a – 1) (a – 5) = a2 -6a + 5 a2 -4a – 5 a2 + 4a – 5 a2 + 4a + 25 a2 + 6a + 5 a2 – 6a + 25 © 2009 4 -2011 tutorco.com Q11. Simplify (2k2 + 1) (2k2 + 1) Q12. Simplify (8a2 + 4) (8a2 – 4) Q13. Simplify (4a + 7)2© 2009 5 -2011 tutorco.com Q14. Simplify (6v + 3) (6v – 3) Q15. Simplify (-m + 5n) (-m – 5n) Q16. Simplify (-9 – 10y2)2© 2009 6 -2011 tutorco.com Q17. Simplify (7u + v) (7u – v) Q18. Simplify (-y – 3x) (-y + 3x) Q19. Simplify (-6 – 7y2)2 Q20. Simplify (2b – 7)2© 2009 7 -2011 tutorco.com Q21. I read (3x + 4) books with (7x – 1) pages in each book. How many pages did I read altogether? Q22. An airplane sits (m + 2n) people across and it has (2m – n) rows. How many people can fly on this airplane at once? Q23. Each individual popcorn bag has (7x + y) kernels in it and they are in a case that holds (6x – y) bags. How many kernels does each case have? © 2009 8 -2011 tutorco.com Q24. The hardware store sells boxes of (6a + b) nails in each box. They come in cases of (2a – b) boxes. How many nails are there in each case? Q25. I can type (12x + y) words per minute. How many words would I type in (3x + 4y) minutes? © 2009 9 -2011 tutorco.com Q26. There are (4p + 8) cookies in a bag and my mom bought (8p + 1) bags this week. How many cookies are there altogether? Q27. The candy hearts container has (4m + 6) candy hearts in it. I have (8m + 1) containers, how many candy hearts do I have? Q28. I deliver (14x + y) newspapers (3x – y) times per week. How many newspapers do I deliver each week? © 2009 10 -2011 tutorco.com Q29. Our classroom has (1 – 7s) tables with (1 – 4s) legs. How many table legs does our classroom have? Q30. My CDs fit in cases that hold (12v + 1) CDs. I have (11 -v) full cases. How many CDs do I have in total? © 2009 11 -2011 tutorco.com