1. ALGEBRA Primary 6 Mathematics

2. Algebra 2 Chapter Learning Outcomes At the end of this chapter, pupils will be able to:  Write simple algebraic expressions in one variable involving more than one operation  Simplify and evaluate algebraic expressions  Solve word problems involving algebraic expressions

3. Algebra 3 Write simple algebraic expressions in one variable involving more than one operation Examples of algebraic expressions: Algebra is a branch of Mathematics that uses letters or symbols to represent numbers. 1 + 4j 3z3zy – 3x + 2

4. Algebra 4 a) How old will Mrs Tan be in 1 year’s time? b) How old was Mrs Tan 2 years ago?  Let Mrs Tan be x year’s old. a)  x + 1 Mrs Tan will be (x + 1) years old in 1 year’s time. b)  x – 2 Mrs Tan was (x – 2) years old, 2 years ago. Example 1: Mrs Tan is the form teacher of Primary 6C. The class does not know how old she is. Write simple algebraic expressions in one variable involving more than one operation

5. Algebra 5 a) How many stickers are there altogether on 2 pages? b) How many stickers are there on y pages? Example 2:  8 x 2 = 16 There are 16 stickers on 2 pages.  8 x y = 8y There are 8y stickers on y pages. There are 8 stickers on each page of a sticker book. Write simple algebraic expressions in one variable involving more than one operation

6. Algebra 6 There are h pupils in a class. The pupils arrange themselves equally into groups of 7. How many groups are there? Express the answer in terms of h. Example 3: There are groups. Write simple algebraic expressions in one variable involving more than one operation

7. Algebra 7 Example 4: a) Express Mr Tan’s age in terms of his daughter’s age. b) How old was Mr Tan 10 years ago?   12n Mr Tan is 12n years old.   12n – 10 Mr Tan was (12n – 10) years old, 10 years ago. Mr Tan is n times as old as his daughter. His daughter is 12 years old. Write simple algebraic expressions in one variable involving more than one operation

8. Algebra 8 Sally had t sheets of coloured paper. She gave Lydia 3 sheets and distributed the rest equally among 3 friends and herself. How many sheets of coloured paper did each friend get in terms of t? Example 5: Number of sheets left after giving to Lydia = t – 3. Number of sheets of paper each friend got =. Coloured Write simple algebraic expressions in one variable involving more than one operation

9. Algebra 9 Simplify and evaluate algebraic expressions What makes up an algebraic expression? An algebraic expression is made up of numbers, operation signs, letters and others.

10. Algebra 10 8d ÷ 9 written as or is an expression in terms of d. Simplify and evaluate algebraic expressions Examples of algebraic expressions: a + 3 is an expression in terms of a. b - 7 is an expression in terms of b. 12 c written as 12c is an expression in terms of c.

11. Algebra 11 a) n + 4 b) 3n c) 20 – 2n d) a) n + 4 = 4 + 4 = 8 b) 3n = 3 x n = 12 c) 20 – 2n = 20 – (2 x 4) = 12 d) = = 1 Example 1: Find the value of the following expressions when n = 4. Simplify and evaluate algebraic expressions

12. Algebra 12 Simplify and evaluate algebraic expressions a ) How many cards do they have altogether? Express the answer in terms of r. b) How many more cards does Dave have than John?  3r + 5r = 8r They have 8r cards altogether.  5r – 3r = 2r Dave has 2r more cards than John. Example 2: John has 3 packs of cards and Dave has 5 packs of cards. There are r cards in each pack.

13. Algebra 13 John has 3 packs of cards and Dave has 5 packs of cards. There are r cards in each packet. c) If each pack contains 4 cards and the boys give away 7 cards, how many cards will they have left? Remember: They have 8r cards altogether. Example 2 (cont.): Simplify and evaluate algebraic expressions c) When r = 4, 8 x 4 = 32 8r – 7 = 32 – 7 = 25 They will have 25 cards left.

14. Algebra 14 A mop is 2x cm long. A wooden plank is 3 times as long as the mop. a) Express the length of the wooden plank in terms of x. b) What is the total length of the two items if x = 30? Example 1: b) 2x + 6x = 8x 8x = 8 x 30 = 240 cm The total length of the two items is 240 cm. a) 3 x 2x = 6x cm The length of the wooden plank is 6x cm. Solve word problems involving algebraic expressions

15. Algebra 15 Pam buys m pens at $4 each. a) What is the cost of m pens in terms of m? b) How much change should Pam receive if she pays for the m pens with $100? Express the answer in terms of m. c) If m = 20, find the amount of change. Example 2: a) m x $4 = $4m The cost of m pens is $4m. b) She should receive $(100 – 4m). c) 100 – 4m = 100 – 4 x 20 = $20 The change is $20. Solve word problems involving algebraic expressions

16. Algebra 16 Reference - Textbooks Learning Outcomes Write simple algebraic expression in 1 variable involving more than 1 operation 6A p.2–126A p.2–7 Simplify and evaluate algebraic expressions 6A p.13–186A p. 8–10 Solve word problems involving algebraic expressions 6A p.19–236A p.11–13