Cambridge International Mathematics

92 Algebra (Equations and inequalities) (Chapter 3)

4 Solve forx: a 7 x¡5=4(x+4) b

x

2

+2x=

3 x¡ 1

4

5 Represent the following inequalities on a number line:

a ¡ 16 x< 3 b x< 0 or x> 3

6 Solve forxand show the solutions on a number line:

a 2 x+7< 22 ¡ 3 x b 5(x+4)> 5 ¡2(3¡x)

7 Translate into linear equations butdo not solve:

a When a number is increased by 11 and the result is doubled, the answer is 48.

b The sum of three consecutive integers is 63.

8 When 7 times a certain number is decreased by 11 , the result is 31 more than the number. Find the

number.

9 I have 25 coins consisting of 5 -cent and 50 -cent pieces. If the total value is$7: 10 , how many

5 -cent coins do I have?

10 Solve forx: a x^4 =16 b

7

x

=

x

3

Review set 3B

1 Solve forx: a 10 ¡ 3 x=¡ 14 b

3 x+5

4

=8

2 Solve forx: a

x

2

=

3

8

b

1 ¡ 3 x

4

=

x¡ 2

2

3 Solve forx: a 2(x¡2)¡5(x+3)=¡ 5 b 3(2¡x)=x¡ 11

4 Solve forx: a

5

3 x

=

3

2

b

2 x+1

3

¡

4 ¡x

6

=¡ 2

5 Represent the following inequalities on a number line:

a ¡ 2 <x< 2 b x 6 ¡ 5 or x>¡ 1

6 Solve forxand show the solutions on a number line:

a 3(x¡4) 6 x+6 b 7 ¡2(x¡3)>5(3¡ 2 x)

7 Translate into linear equations, butdo not solve.

a Four times a number is equal to the number plus 15.

b The sum of two consecutive odd integers is 36.

8 Five more than a certain number is nine less than three times the number. Find the number.

9 Solve forx: a x^3 =64 b

x

11

=

¡ 5

x

10 Clara, Dean and Elaine were candidates in an election in which 1000 people voted. Elaine won the

election, receiving 95 more votes than Dean, and 186 more votes than Clara. How many votes did

Dean receive?

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Y:\HAESE\IGCSE01\IG01_03\092IGCSE01_03.CDR Friday, 12 September 2008 1:52:28 PM PETER