MIP1502
ASSIGNMENT 1
DUE DATE: 21 APRIL 2026
, MIP1502 ASSIGNMENT 1 2026
DUE 21 APRIL 2026
QUESTION 1
1.1 The study guide distinguishes between an unknown (in a number sentence)
and a variable (in a functional relationship). Consider the following two
mathematical statements:
Statement A: 5𝑘𝑘 − 10 = 25
Statement B: 𝑦𝑦 = 5𝑘𝑘 − 10
1.1.1 In Statement A (5𝑘 − 10 = 25), the symbol 𝑘 is an unknown. It represents a
specific single value that we must find to make the equation true.
In Statement B (𝑦 = 5𝑘 − 10), the symbol 𝑘 is a variable. It can take any value from a
domain of input values, and each different value of 𝑘 produces a corresponding output
value for 𝑦. This describes a functional relationship.
The study guide makes exactly this distinction: an unknown belongs to a number
sentence/equation; a variable belongs to a functional relationship.
1.1.2 1.1.2 Which statement represents a 'specific value', and which statement
represents a 'domain of input values'?
Statement A represents a specific value.
Statement B represents a domain of input values
ASSIGNMENT 1
DUE DATE: 21 APRIL 2026
, MIP1502 ASSIGNMENT 1 2026
DUE 21 APRIL 2026
QUESTION 1
1.1 The study guide distinguishes between an unknown (in a number sentence)
and a variable (in a functional relationship). Consider the following two
mathematical statements:
Statement A: 5𝑘𝑘 − 10 = 25
Statement B: 𝑦𝑦 = 5𝑘𝑘 − 10
1.1.1 In Statement A (5𝑘 − 10 = 25), the symbol 𝑘 is an unknown. It represents a
specific single value that we must find to make the equation true.
In Statement B (𝑦 = 5𝑘 − 10), the symbol 𝑘 is a variable. It can take any value from a
domain of input values, and each different value of 𝑘 produces a corresponding output
value for 𝑦. This describes a functional relationship.
The study guide makes exactly this distinction: an unknown belongs to a number
sentence/equation; a variable belongs to a functional relationship.
1.1.2 1.1.2 Which statement represents a 'specific value', and which statement
represents a 'domain of input values'?
Statement A represents a specific value.
Statement B represents a domain of input values
