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Algebraic expressions 1 Page 69
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Exercise 6.1, page 69 2 x R150 = R300 4 x R150 = R600 7 x R150 = R1 050
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90c – 75c = 15c 500c – 75c = 425c
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20 – 11 = 9 20 – 7 = 13
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DO: Exercise 6.1 # 9 - 12 Page 70
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Exercise 6.1: ANSWERS
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Variables and operations – Page 71 The sum of 5 and 4 The difference between 5 and 4 The product of 5 and 4 The quotient when 5 is divided by 4 The sum of 5 and a number The difference between 5 and a number The product of 5 and a number The quotient when 5 is divided by a number 5 + 4 5 - 4 5 x 4
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Exercise 6.3: Page 73
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Exercise 6.6 Page 75 Do: Exercise 6.4 Page 74 All
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Exercise 6.4: Answers
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Algebra Multiplication – Page 74 NB! Same rules as multiplying exponents 3 steps: 1. Sign 2. Coefficients 3. Letters Remember! Anything multiplied by zero = zero
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DO:Exercise 6.5 Page 75 #1 Middle; #2ALL Exercise 6.6 Page 75 # 1; 6 - 9
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Exercise 6.5: Answers
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Exercise 6.6: Answers
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Expressions and terms – Page 77 3 terms 2 terms Brackets are considered as 1 term Division is considered as 1 term
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Naming expressions Binomial:An expression with 2 terms Trinomial: An expression with 3 terms Polynomial: An expression with more than 3 terms Constants and coefficients – Page 79 Variable: A letter a.k.a unknown Coefficient:The number in front of a variable Constant: A number not attached to a letter Index: The small number above a letter (Exponent)
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3 2 DO: Ex 6.8 Pg 80 # 1 - 5
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Exercise 6.8: Answers 1a)3 b) 1 c) 2 d) 1 e) 3 f) 1 g) 2 h) 3 i) 1 j) 2 k) 2 l) 1 2a) 3 b) 2 c) 3 d) 2 e) 1 f) 3 g) 7 h) -2 i) 10 j) -1
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Addition and subtraction of like terms Are these like or unlike? and
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Addition and subtraction of like terms – Page 81 Unlike Like Unlike Like Unlike NB:Look at the letters and exponents! Ignore the coefficients
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Addition and subtraction of like terms – Page 81 NB!Only LIKE terms can be added and subtracted from one another.
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DO:Exercise 6.9 Page 82 # (1 – 3) RHS Exercise 6.10 Page 84 # (1- 2) RHS
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Exercise 6.9: Answers
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Exercise 6.10: Page 84
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Using algebraic expressions to find values - Page 84
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These lines mean the sides are equal in length
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Exercise 6.11, Page 85 DO:Ex 6.11 Pg.85 #1 c – g; #2 Ex 6.12 Pg.86 ALL
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Exercise 6.11: Answers
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2a) b) A = R80 000 – (R2000 x 15) = R50 000 Number of months (t)Amount still owing (A) 180 000 – (2 000 x 1) 280 000 – (2 000 x 2) 380 000 – (2 000 x 3) 480 000 – (2 000 x 4) 580 000 – (2 000 x 5) 1080 000 – (2 000 x 10) t80 000 – (2 000 x t)
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Exercise 6.12: Answers 1a) ii) 5; 1; -1 b) iii) 4 c) ii) -27 2a) T 4 = 3(4) – 1 = 12 – 1 = 11 b) T 17 = 3(17) – 1 = 51 – 1 = 50
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