Cambridge International Mathematics

Sets (Chapter 2) 69 4 The Venn diagram alongside is the most general case for three events in the same sample spaceU. On separat ...

70 Sets (Chapter 2) Method 2: Example 13 Self Tutor In a senior class all 29 students take one or more of biology, chemistry and ...

Sets (Chapter 2) 71 EXERCISE 2F 1 A survey was conducted with a group of teenagers to see how many liked going to the cinema (C) ...

72 Sets (Chapter 2) 9 Joe owns an automotive garage which does car services and mechanical repairs. In one week 18 cars had serv ...

Sets (Chapter 2) 73 2 Suppose U=fxjx 612 ,x 2 Z+g and A=fmultiples of 3612 g. a ShowAon a Venn diagram. b List the setA^0 : c Fi ...

74 Sets (Chapter 2) 3 Show this information on a Venn diagram: a U=f 10 , 11 , 12 , 13 , 14 , 15 g, A=f 10 , 12 , 14 g, B=f 11 , ...

Algebra (Equations and inequalities) 3 Contents: A Solving linear equations [2.3] B Solving equations with fractions [2.3] C For ...

76 Algebra (Equations and inequalities) (Chapter 3) SIDES OF AN EQUATION Theleft hand side(LHS) of an equation is on the left of ...

Algebra (Equations and inequalities) (Chapter 3) 77 Example 1 Self Tutor The inverse operation for+7 is¡ 7. Solve forx: 3 x+7=22 ...

78 Algebra (Equations and inequalities) (Chapter 3) Example 4 Self Tutor Solve forx: 4 x+3 5 =¡ 2 4 x+3 5 =¡ 2 ) 5 £ (4x+3) 5 =¡ ...

Algebra (Equations and inequalities) (Chapter 3) 79 Example 5 Self Tutor Solve forx: 5(x+1)¡ 2 x=¡ 7 5(x+1)¡ 2 x=¡ 7 ) 5 x+5¡ 2 ...

80 Algebra (Equations and inequalities) (Chapter 3) Summary Step 1: If necessary,expandanybracketsandcollect like terms. Step 2: ...

Algebra (Equations and inequalities) (Chapter 3) 81 Example 8 Self Tutor Solve forx: 2 x+3 4 = x¡ 2 3 2 x+3 4 = x¡ 2 3 fLCD=12g ...

82 Algebra (Equations and inequalities) (Chapter 3) Example 10 Self Tutor Solve forx: 3 x+1 x¡ 1 =¡ 2 3 x+1 x¡ 1 = ¡ 2 1 fLCD=x¡ ...

Algebra (Equations and inequalities) (Chapter 3) 83 g 2 x¡ 7 3 ¡1= x¡ 4 6 h x+1 3 ¡ x 6 = 2 x¡ 3 2 i x 5 ¡ 2 x¡ 5 3 = 3 4 j x+1 ...

84 Algebra (Equations and inequalities) (Chapter 3) With practice you will find that you can combine the steps, but you should n ...

Algebra (Equations and inequalities) (Chapter 3) 85 3 Write an equation for each of the following: a Peter is buying some outdoo ...

86 Algebra (Equations and inequalities) (Chapter 3) Example 15 Self Tutor If twice a number is subtracted from 11 , the result i ...

Algebra (Equations and inequalities) (Chapter 3) 87 6 When one quarter of a number is subtracted from one third of the number, t ...

88 Algebra (Equations and inequalities) (Chapter 3) EXERCISE 3E 1 Solve forx, giving your answers correct to 3 significant figur ...