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Maths: A Student's Survival Guide by Jenny Olive

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Answers to the exercises

Chapter 1

Exercise 1.A.1

(1)

        (a) 8a + b + 3c (1b is written as just b.)

        (b) 5ab + 5a + 3b (since ab = ba.)

        (c) 5p + 5pq + 8q

        (d) 2x + 5y + 3xy

(2)

        (a) 23 = 8

        (b) 5a2 = 5 × 22 = 20

        (c) (5a)2 = 102 = 100

        (d) 12 = 1

        (e) 8 + 3 = 11

(3)

        (a) 6xy

        (b) 15x3y

        (c) 6a + 9b

        (d) 6a2 + 10ab

        (e) 6p3 + 4p2q + 2pq2

        (f) 6x3 + 4x3y + 2x2y2

Exercise 1.A.2

(1)

        (a) ab + cd = 2 × 3 + 4 × 5 = 6 + 20 = 26

        (b) ab2e = 2 × 32 × 0 = 0!

        (c) ab2d = 2 × 32 × 5 = 2 × 9 × 5 = 90

        (d) (abd)2 = (2 × 3 × 5)2 = 302 = 900

        (e) a(b + cd) = 2(3 + 4 × 5) = 2(3 + 20) = 46

        (f) ab2d + c3 = 2 × 32 × 5 ...

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