Collecting Like TermsLearning Objective:Be able to simplify expressions by collecting like terms

StarterI go to the shop and I buy 5 cans of XenonI then go to another shop and buy another 3 cans of Xenon.I go to the third shop and buy 2 more cans of Xenon.Is there an easier way to buy all the cans of Xenon ?

Two pipes of lengths 5a and 3a are joined together 5a 3aThe total length = 5a + 3a = 8a5a and 3a are like termsThey can be combined, or collected together

Write the total lengths of these pipes when the two parts are joined together 6x + 4x = 5y + 2y =4z +2z + z

Simplify these expressions2a) 2n + 3n + n2b)4p + 2p – p2c) 8q – 2q – 3q2d) 5t + 3t + 4t2e) 7r – 5r – r2f) 6s – 4s – s2g) 8x – 5x – 3x2h) 5x – 6x + 3x2i) 6y – 8y + 9y2j) z – 3z +4z

Simplify this expression3x2 + 2x -x2 + x2 +4x + 5x2 Like terms in x: 2x + 4x = 6xLike terms in x2: 3x2 -x2 +5x2 = 8x2 So, 3x2 + 2x -x2 + x2 +4x + 5x2 = 6x + 8x2