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CAIE IGCSE Mathematics E2.1 Introduction to algebra Question Bank

Practise forming algebraic expressions from worded contexts and substituting given numbers into formulae, functions and tables.

Syllabus
2028–2030
Course
Mathematics 0580
Level
Extended

Exam points

  • write expressions in x from ticket, quantity or sharing information in a table
  • substitute values into formulae while handling powers and negative numbers correctly
  • evaluate expressions or functions to complete missing entries in a value table

Covered syllabus points

E2.1.1 Know that letters can be used to represent generalised numbers.E2.1.2 Substitute numbers into expressions and formulas.

E2.1 Introduction to algebra question 1

[Maximum number: 3]

Question (a)

(a)

Another club sells season tickets for individuals and for families. In 2018, the number of season tickets sold is in the ratio family: individual =2: 7.

[ 3 ]

Question (i)

(i)

The number of family season tickets sold is x.

Write an expression, in terms of x, for the number of individual season tickets sold.

[ 1 ]

Question (ii)

(ii)
Figure for Question (ii) — CAIE IGCSE Mathematics Extended

In 2019, the number of family season tickets sold increases by 12 and the number of individual season tickets sold decreases by 26.
Complete the table by writing expressions, in terms of x, for the number of tickets sold in 2019.

[ 2 ]

E2.1 Introduction to algebra question 2

[Maximum number: 2]

y=px2+ty=px^2+t

Find the value of y when p=3, x=2 and t=-13.

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