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Targeting Grade C Unit 1 Algebra 1 GCSE Mathematics

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TOP 1: Review 1 - collecting like terms Practice 1: Multiplying a bracket by a whole number or letter Practice 2: Expand the brackets and simplify the expression by collecting the like terms TAIL 1 Practice 3: Multiplying and dividing indices in algebra TOP 2: Review 2 – substituting numbers for letters TAIL 2 Can you: Simplify linear expressions Use brackets in Algebra Try a test Understand the rule of indices Use substitution in expressions Try a test If not you need

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TOP 1: Simplify (i)3g + 5g (ii)3x + y - x + 2y (2) (b)4a + 9b – 3a – 5b (1) (c)3p + q – 2p – 2q (2) (d)2w – 4v –3w + 2v (1) (e)3x² - 2x + x² + x (1) (Total 7 marks) Lesson 8g 2x + 3y a + 4b p - q -2v -w 4x² - x Are you ready for the answers ?

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Practice 1:Expand the brackets: (a)(i) 7(n – 3) (ii)4(2x – 3) (iii)p(q – 2p) Multiply out: (3) (a) 5(2y – 3) (1) (c) x(2x +y) (2) Lesson 7n - 21 8x -12 pq – 2p² 10y - 15 2x² + xy Are you ready for the answers ?

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Practice 2:Expand and simplify: (i)4(x + 5) + 3(x – 7) (2) (ii)5(3p + 2) – 2(5p – 3) (2) (iii)(t + 4)(t – 2) (2) (iv)(x + 3y)(x + 2y) (2) Lesson 4x + 9 + 3x -21 = 7x - 12 15p + 10 - 10p + 6 = 5p +16 t² - 2t + 4t -8 = t² + 2t -8 x² + 2xy + 3xy + 6y² = x² + 5xy + 6y² Are you ready for the answers ?

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Answers e + f + e +2f 1 2 3 4 5 6 7 8 9 10 2x² + 2x + 3x² - x 2(a + b) 5(2d + 2e) x(x + y) a(3a + 2b) 3(x + y) + 2(x – 2y) 5(3x + 2) – 3(4x – 3) (x + 3)(x - 2) (2a + b)(3a – 2b) TAIL 1 Are you ready for the answers ?

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e + f + e +2f 1 2 3 4 5 6 7 8 9 10 2x² + 2x + 3x² - x 2(a + b) 5(2d + 2e) x(x + y) a(3a + 2b) 3(x + y) + 2(x – 2y) 5(3x + 2) – 3(4x – 3) (x + 3)(x - 2) (2a + b)(3a – 2b) 2e + 3f 5x² + x 2a + 2b 10d + 10e x² + xy 3a² + 2ab 5x - y 3x + 19 x² + x - 6 6a² - ab –2b² TAIL 1 Lesson

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Can you remember the rules of indices (or powers)? When MULTIPLYING, you ADD the powers. e.g. 3¹ X 3² = 3³ When DIVIDING, you SUBTRACT the powers. e.g. 4³ ÷ 4² = 4¹.. and for few more click mouse… Anything to the POWER 1 is just ITSELF. e.g. 5¹ = 5 x¹ = x Anything to the POWER 0 is just 1. e.g. 6º = 1 xº = 1 When RAISING one power to another, you MULTIPLY the powers. e.g. (3²)³ = 3 6 (4 5 )² = 4¹ 0 Now try some questions

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Lesson Can you Simplifying indices? Write down your solutions to: 1.k³ ÷ k² 2.p² × p 3 3.p² + p² + p² 4.x 8 × x³ 5.x 6 x 4 6.a 7 x a 3 7.x² x x³ x² (7) k¹k¹ p5p5 3p² x¹¹ x²x² a¹º x³x³ Are you ready for the answers ?

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By using substitution answer the following questions: (i)Work out the value of 2a + ay when a = 5 and y = –3 (2) (ii)Work out the value of 5t² - 7 when t=4 (iii)Work out the value of 5x + 1 when x = –3 (iv)Work out the value of D when: (4) D = ut + 2kt If u = 5 t = 1.2 k = –2 (3) Lesson -5 73 -14 1.2 Are you ready for the answers ?

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TAIL 2 (a)Simplify3p + q – p +2q (b)Simplify3y² - y² (c)Simplify5c + 7d – 2c – 3d (d)Simplify4p x 2q (e)Simplifyx³ + x³ 2p + 3q 2y² 3c + 4d 8pq 2x³ Some more questions Are you ready for the answers ?

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Can you work out the answers to these? 1.3¹ 2.8º 3.(2³) 4 4.(4² x 4¹) ÷ (2³ x 2²) Lesson 3 1 2¹² 2 Are you ready for the answers ?

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