GCSE Maths Starter 1 Continue the next two in the sequence:

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Equations with the unknown on both sides.
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GCSE Maths Starter 1 Continue the next two in the sequence: 2, 8, 14, 20…. Find the mean of 12, 7, 13, 8. If a = 4, b = 5 What is the value of 8a-6b? What is 5² - 3² A) Name the shape B) Find the size of the missing angle, a: Explain your answer. 105 72 108 a

Lesson 1 Equations Mathswatch clip 105 To know what an equation is. To use inverse operations to solve two step equations. (Grade D) To solve equations with brackets in. (Grade D/C) EXTN: To solve equations with unknowns on both sides. (Grade C)

Lesson 1 Equations Mathswatch clip 105 An equation means that two things are equal. A pair of scales is sometimes used to show equations because when both sides balance they are equal. The scales below show that the expression 2x + 5 is equal to the quantity 21, where x is the number of marbles in each bag. Can you find what x must be worth? 2x + 5 = 21 x x 2x + 5 21

Unknowns One Side: Caterpillar Method 3 n Whatever happens to the letter on the way there, we must do to the OPPOSITE on the way back.. + 5 = 10 2 +  - x   n 2 3 + 5 n 3n 3n + 5 x 3 + 5 ÷ 2 n =5 15 20 10 So n = 5 ÷ 3 - 5 x 2

Unknowns One Side: Caterpillar Method 5 ( ) n + 4 6 Whatever happens to the letter on the way there, we must do to the OPPOSITE on the way back.. = 8 3 +  - x   + 4 x 5 6 ÷ 3 8 n =2 6 30 24 - 4 ÷ 5 + 6 x 3 So n = 2

Unknowns Both Sides: Move the smallest amount of the letter then Caterpillar Method 5 n + 4 = 3 n + 14 -3 n -3 n 2n +4 = 14 Use opposites to move the smallest amount of the letter. Then use the catterpillar as normal. x 2 + 4 n =5 10 14 +  - x   ÷ 2 - 4 So n = 5

Questions + - x  Practice Equations (a) 3x + 8 = 20 x = 4 Now try these questions remembering to use opposite signs. x = 3 Solve the following equations (a) 3x + 8 = 20 x = 4 (b) 7x - 9 = 26 x = 5 (c) 5(x – 8) = - 5 x = 7 Extension Qns (d) 3x + 7 = x + 11 x = 2 (e) 6x + 5 = 4x + 10 x = 2½ (f) 5p - 3 = 2p + 9 p = 4 (g) 4y - 7 = 2y - 9 y = -1 Questions

Exam Questions for you to try. Lesson 1: Equations Exam Questions for you to try.