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Algebraic Brackets Expansion and Simplification

Learn how to expand and simplify algebraic expressions by multiplying out brackets. Practice expanding expressions and collecting like terms.

jeffreydavis
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Algebraic Brackets Expansion and Simplification

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  1. Starter Multiply the following • 2a x 3b • 3s x 4t • 4d x 6d • 3a x a x b • 5y x 4z x y

  2. Learning Objectives: To be able to expand brackets in algebra. Key Words Expanding Expression Algebra brackets Expanding brackets

  3. L.O : To be able expand brackets in algebra. • 2(3a+2) 2 (3a+2) = 6a +4

  4. L.O : To be able expand brackets in algebra. • 3(2b+1) 3 (2b+1) = 6b +3

  5. L.O : To be able expand brackets in algebra. • 5(4t+5s) 5 (4t+5s) = 20t +25 s

  6. L.O : To be able expand brackets in algebra. • 3(2d-3e) 3 (2d-3e) = 6d -9e

  7. L.O : To be able expand brackets in algebra. • 7a(2b-3c) 7a (2b-3c) = 14ab -21ac

  8. Expand the following brackets 4(2a+4) 5(3b-c) 3(4b-2c) 6(3h-4k) 8( 3r-2q-s) Answer 8a+16 15b-5c 12b-6c 18h-24k 24r-16q-8s L.O : To be able expand brackets in algebra.

  9. Further Expansion

  10. Expanding brackets and simplifying Expand and simplify: 2(3n– 4) + 3(3n + 5) We need to multiply out both brackets and collect together like terms. 2(3n– 4) + 3(3n + 5) = – 8 + 15 6n + 9n = 6n + 9n– 8 + 15 = 15n + 7

  11. Merit Question 5 Minutes Expand and simplify: 5(3a + 2b) – a(2 + 5b) We need to multiply out both brackets and collect together like terms. 5(3a + 2b) – a(2 + 5b) = 15a + 10b – 2a – 5ab = 15a – 2a + 10b – 5ab = 13a + 10b – 5ab

  12. Plenary Expand the following brackets, write your answer using the mini white board. • 2( 3y+3) 6y+6 • 3(5t-2q) 15t-6q • 5(p-2r) 5p-10r • 3s(2t-u-4v) 6st-3su-12sv • 8a(3d+2e-5f) 24ad+16ae-40af

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