©TeeJay Publishers General Homework for Book 3G Ch 7 - algebra

this is Chapter Seven page 41

Exercise 2

1. Copy each of the following and simplify :-

(a) 6 x a (b) 7 x p (c) g x 8

(d) w x y (e) c x c (f) 5a x b

(g) 4k x k (h) 4p x 5q (i) 3y x 7y

Exercise 3

1. Copy each expression and multiply out the brackets :-

(a) 3(a + 2) (b) 5(b – 3) (c) 9(p – 1)

(d) 8(x + y) (e) 10(a – b) (f) 6(x + y + 1)

(g) 5(v – w – 1) (h) 4(3x + 5) (i) 7(3p – 7)

(j) 200(3v – 4) (k) 2(8x + 5y + 3) (l) 3(2a – b + 9)

2. Multiply out the brackets and then simplify (Show all working) :-

(a) 3(x + 2) + 2 (b) 5(p + 1) + 7 (c) 2(w + 8) – 10

(d) 2(x + 6) + x (e) 8(w – 1) – 7w (f) 4 + 2(b + 5)

(g) 8 + 5(x – 1) (h) 3(a + 3) + 2(a + 5) (i) 9(w + 2) + 3(w – 5)

(j) 2(x + 2) + 3(x + 1) + 20 (k) 5(x + 4) + 3(x + 1) – 22 (l) 3(2m + 4) + 2(6 – 3m)

Exercise 1

1. Copy each of the following and then give a simplified answer below each one :-

(a) 2x + 5x (b) 9x – 4x (c) 6x + x

(d) 4x – x (e) 6x + 5x + x (f) 4x + 6x – x

(g) 15p – 7p + 4p (h) f + f – f (i) 12q – 5q – q

(j) 8t – t – 6t (k) 19d – d – 18d (l) 80m – 30m – 20m

2. Copy each of the following and then give a simplified answer below each one :-

(a) 4x + 6x + 3x – 8x (b) 6y – y + 4y – 7y (c) 3x + 2 + 7x

(d) 3p + 5 + p + 3 (e) 2y + 4 – y – 4 (f) 3p + 2s + 8p + 9s

(g) 8x + z – x + 9z (h) 7p + q + 3p + q + p + 4q (i) 2p2 + 2q2 – p2 – q2

Algebra HomeworkChapter 7

©TeeJay Publishers General Homework for Book 3G Ch 7 - algebra

this is Chapter Seven page 42

Exercise 4

1. Find the value of x by solving these equations :-

(a) x + 2 = 5 (b) x + 8 = 10 (c) x + 5 = 12

(d) x + 12 = 13 (e) x – 1 = 5 (f) x – 2 = 20

(g) x – 10 = 3 (h) x – 40 = 0 (i) x + 9 = 9

(j) x – 7 = 0 (k) x + 25 = 26 (l) x – 100 = 200

2. Find the value of x, given :–

(a) 3x = 18 (b) 4x = 12 (c) 5x = 50

(d) 9x = 45 (e) 6x = 42 (f) 2x = 11

(g) 4x = 10 (h) 8x = 0 (i) 10x = 55

Exercise 5

1. Find the value of each letter by solving these equations :-

Set down your working carefully.

(a) 2s + 3 = 5 (b) 4d + 3 = 11 (c) 3f + 1 = 13

(d) 5w + 3 = 43 (e) 2e – 1 = 9 (f) 6g – 3 = 15

(g) 7g – 2 = 19 (h) 7b – 5 = 2 (i) 10f – 5 = 15

(j) 8h – 3 = 53 (k) 3k + 3 = 30 (l) 3a – 8 = 19

(m) 9d – 9 = 0 (n) 6y – 9 = 21 (o) 7p – 11 = 38

Exercise 6

1. Solve these equations by multiplying out the brackets first :-(use the method shown to you by your teacher)

(a) 2(x + 5) = 12 (b) 3(x + 2) = 18 (c) 4(y + 1) = 8

(d) 3(p + 3) = 24 (e) 7(w + 2) = 49 (f) 6(m + 2) = 60

(g) 3(a – 1) = 9 (h) 2(x – 3) = 6 (i) 2(p – 2) = 20

(j) 4(g – 6) = 4 (k) 7(x – 1) = 0 (l) 10(x – 30) = 100

Exercise 7

1. Solve these equations using the method shown to you by your teacher :-

(a) 3x + 1 = 2x + 5 (b) 2x + 6 = x + 6 (c) 6x + 3 = 4x + 9

(d) 4x – 1 = 3x + 7 (e) 8x – 12 = 7x + 18 (f) 4x + 8 = 2x + 10

(g) 3x + 1 = x + 11 (h) 7x – 2 = 5x + 6 (i) 7x + 2 = 4x + 8

(j) 7x + 3 = 2x + 18 (k) 8x – 4 = 2x + 32 (l) 10x – 8 = 2x + 40

©TeeJay Publishers General Homework for Book 3G Ch 7 - algebra

this is Chapter Seven page 43

Exercise 8E

1. Copy the following and enter a “ < “ sign, a ” > ” sign or an “ = ” sign in the correct place :–

(a) 5 .... 3 (b) –2 .... 1 (c) 0 .... –4

(d) 2·1 .... 1·9 (e) 64 .... (9 x 7) (f) –11 .... –12

2. In this question, you can choose x from the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8 :–

Solve

(a) x > 5, —> (so x = ...) (b) x ≤ 3 (c) x > 7

(d) x ≤ 8 (e) x < 4·3 (f) x ≥

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3 12

3. Solve these inequalities, leaving your answers like :- x > 3.(Show all your working carefully)

(a) x + 2 > 7 (b) x + 5 > 12 (c) x + 3 ≤ 9

(d) 4x < 24 (e) 5x > 45 (f) 2x ≤ 11

(g) 2x + 3 > 13 (h) 3x – 5 < 10 (i) 4x + 7 ≥ 17