A 3x 10 5x 2 b 11x 2 26 7x c 10 20y 30y 60 ls rs ls

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a) 3x +10 = –5x + 2 b) 11x + 2 = 26 + 7x c) 10 – 20y = – 30y – 60 LS RS LS RS LS RS Solving Equations with Brackets If the equation contains brackets: Use the _________________ _________________ to remove them Simplify the equation by combining _______________ terms and combining ________________ Solve for the ___________________ Distributive Property. Multiply the number in front of the bracket to each term inside the bracket. 4 ( x - 2 ) = 4x - 8 Expanded Form Example 3. Expand and simplify. a) 3(x + 2) b) 2(x + 3) + 11x c) – 4(x – 5) d) 8(4 – x) – 3(x + 5) e) 5(x – 1) + 3(2x – 2) f) – 2(x – 7) – 4(– 3x + 5) 2 - 10
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MFM2P Date: _________________ Unit 2: Linear Relations Example 4. Solve. a) 3 (x + 3) = 15 b) 3(y + 1) = 7 (y + 1) c) 5(3x – 2) = 2 d) 3(x – 1) + 2(3x + 1) = 17 e) –3(4x – 2) = 2(–4x + 5) f) 2(2x – 1) – (6x – 5) = 15 2 - 11
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MFM2P Date: _________________ Unit 2: Linear Relations 2.2 Solving Equations with Variables on Both Sides PRACTICE Solve the following equations. Show all of your work. 1. 3 15 2 x 2. 20 1 3 a 3. y y 6 12 5 4. p p 2 16 11 7 5. 7 8 5 2 x x 6. 12 ) 1 ( 3 x 7. 14 ) 5 2 ( 2 x 8. 12 ) 2 ( 3 n 9. ) 1 ( 9 ) 6 ( 2 n n 10. 15 ) 3 ( 4 ) 1 ( 5 y y 11. 19 ) 1 4 ( ) 6 ( 3 x x 12. 3 ) 4 ( 3 ) 5 ( 2 t t 2 - 12 Solutions: 1) x = 9 2) a = 7 3) y = - 3 4) p = - 3 5) x = 2 6) x = 5 7) x = 6 8) n = - 2 9) n = 3 10) y = - 2 11) x = - 2 12) t = - 1
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MFM2P Date: _________________ Unit 2: Linear Relations
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