The document provides instruction on various algebraic concepts such as factorizing, expanding, and simplifying expressions as well as solving word problems. It includes examples and exercises for students to practice these skills. The document aims to teach students how to manipulate algebraic expressions and apply algebraic reasoning to real-world word problems.

1. J. MBEDU
201246302
Authentic learning task for grade 10’s
[Algebraic Equations]
2014/04/10J. MBEDU 201246302 1

2. Algebraic Equations

4. Basic Description of Equation
constant
variable
exponent
Equal Sign

5. Factorizing

6. Find factors of 8
1x8
2x4
4x2
8x4

7. Expanding

8. "Expanding" means removing the ( ). but you
have to do it the right way!
( ) are called “Parentheses” or “Brackets”
In Algebra putting two things next to each
other usually means to multiply.

9. ℎ ℎ

10. Simplifying

11. One of the big jobs we do in Algebra is "simplification
What is the Simplest Form?
write it in the most compact or efficient manner,
without changing the value of the expression.
In general, it is simpler if it is easier to use, Simplifying
uses much the same skills as solving equations.

12. Expand the top part first.
Group the like (same) terms where possible

13. Real World Relevance Word Problems

14. 1. Lets say you need to buy a NEW Xbox 360. You have R800 to
spend on everything. You know a new system costs R400 and
extra controller R40. Assuming a game costs R60 how many
games could you get?

15. 2. Bob has R1,000 budgeted to pay for a bonus for his assistant, Carol.
He wants to pay her such that after the business pays her and pays
for the taxes for her, he has spent exactly R1,000. The business must
pay taxes in the amount of 7.45% of her bonus. How much of a
bonus will she get?
Using algebra, we can say that Carol's bonus (C) plus the company's tax liability (T) equals R1,000.
C + T = 1000
We also know that the company's tax liability (T) equals 7.45% of Carol's bonus (C), so;
T = 0.0745 x C
Substituting, C + (0.0745 x C) = 1000
C = 930.67

16. To Attempt the next Questions
You have to be able to:
4. Real world Problems

17. Multiple Choice Questions
on
Factorization the Expressions

18. A.
C. D.
B.

19. A.
C. D.
B.

20. A.
C. D.
B.

21. A.
C. D.
B.

22. A.
C. D.
B.

23. Multiple Choice Questions
on
Expanding the Expressions

24. A.
C. D.
B.

25. A.
C. D.
B.

26. A.
C. D.
B.

27. A.
C. D.
B.

28. A.
C. D.
B.

29. Multiple Choice Questions
on
Simplifying the Expressions

30. A.
C. D.
B.

31. A.
C. D.
B.

32. A.
C. D.
B.

33. A.
C. D.
B.

34. A.
C. D.
B.

35. Real World Relevance Word Problems

36. A.
C. D.
B.
1. In the Class of Professional 3A we have an unknown number of students who Passed
the first assessment given that the total number of all students participated is 5 (five) times the
unknown number of students who failed.
Now determine the number of students failed if 55 Students Passed.

37. A.
C. D.
B.
2. Nomcebo and Samukelisiwe are carrying a huge bottle of Milk, they then decide
to share the Milk but they don’t have a measuring cylinder
Nomcebo Decide to pour the milk in her bottle measured 10 litres which 5 (five) times smaller
than the huge bottle of milk.

38. A.
C. D.
B.
3. In the Class of Professional 3A we have an unknown number of students who Passed
the first assessment given that the total number of all students participated is 5 (five) times the
unknown number of students who failed.
Now determine the number of students Passed if 95 Students Failed.

39. A.
C. D.
B.
1. In the Class of Professional 3A we have an unknown number of students who Passed
the first assessment given that the total number of all students participated is 5 (five) times the
unknown number of students who failed.
Now determine the number of students failed if 55 Students Passed.

40. The next 3 slides contain videos
which can help you out for
the next 9 (nine) Long Questions

41. Factorizing Expressions Video

42. Real World Expressions Video

43. Simplifying Expressions Video

44. Since you watched the 3 Videos
I now Conclude that you can Attempt
every Algebraic Question

45. Now attempt these Long Questions
and check your Ability
Mixed Questions

49. For the Long Questions
Hand Written Answers

50. 1.

51. 2.

52. 3.

53. 4.

54. 5.

55. 6.

56. 7.

57. 8.

58. 9.

59. FIND THE ATTACHED ASSIGNMENT
WHICH IS DUE 3 DAYS FROM TODAY
Algebraic_Standard_Form.docx

60. FOR YOUR
ATTENTION

61. References
https://secure.tes.co.uk/myAccountSettings.aspx
www.yourteacher.com
http://www.tes.co.uk/teaching-
resource/ALGEBRAIC-EXPRESSIONS-6422801/