MIP1502 Assignment 1 Semester 1 2026 – Due 24 April 2026

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MIP1502 Assignment 1 Semester 1 2026 – Due 24 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 Explain the conceptual difference in the role of the symbol 𝑘𝑘 in statement
A compared to statement B.
(2)

1.1.2 Which statement represents a ‘specific value’, and which statement
represents a ‘domain of input values’?
(2)
1.2 You are observing a Grade 6 class. A learner, Sam, writes the equation
𝑃𝑃 + 𝑆𝑆 = 20
to represent the sentence: “There are 20 people in the room, consisting of
Professors (P) and Students (S).”
However, when asked to represent the sentence “There are six times as many
students as professors,” Sam writes 6𝑆𝑆 = 𝑃𝑃.
This is a famous error known as the ‘reversal error’. Explain why Sam’s logic is
flawed. (Hint: Test his equation with numbers—if there are 2 professors, how
many students should there be, and does his equation work?)
(4)
1.3 Consider the inequality: 5 − 3𝑥𝑥 ≥ −4.

1.3.1 Solve for 𝑥𝑥, ensuring you explicitly show the inverse operations.
(3)