TMS3725 Assignment 4 solutions 2026
UNISA
Due: Tuesday, 25 August 2026, 11:00 PM
,Question 1: Formal Assessment Task
Grade: 10
Subject: Mathematics
Topic: Quadratic Equations
Total Marks: 35
Time: 45 minutes
Instructions
1. Answer all questions.
2. Show all calculations clearly.
3. Simplify all answers where necessary.
4. Use appropriate mathematical notation throughout.
5. Non-programmable calculators may be used where applicable.
Question 1: Knowledge
Answer the following questions.
1.1
State the general form of a quadratic equation.
(1)
1.2
Identify the values of 𝑎, 𝑏and 𝑐in the equation
4𝑥 2 − 7𝑥 + 2 = 0
(3)
1.3
Determine whether the following equation is quadratic. Give a reason for your answer.
5𝑥 2 + 9 = 0
(1)
[5 Marks]
, Question 2: Routine Procedures
Solve each quadratic equation by factorisation.
2.1
𝑥 2 + 9𝑥 + 20 = 0
(4)
2.2
2𝑥 2 − 8𝑥 = 0
(4)
[8 Marks]
Question 3: Complex Procedures
Solve the following equations using the most appropriate method.
3.1
Solve by completing the square.
𝑥 2 + 6𝑥 − 7 = 0
(5)
3.2
Solve using the quadratic formula.
3𝑥 2 − 5𝑥 − 2 = 0
(5)
[10 Marks]
Question 4: Problem Solving
A school plans to build a rectangular vegetable garden against an existing wall. The
length of the garden must be 5 metres longer than its width. The total area of the
garden must be 84 m².
UNISA
Due: Tuesday, 25 August 2026, 11:00 PM
,Question 1: Formal Assessment Task
Grade: 10
Subject: Mathematics
Topic: Quadratic Equations
Total Marks: 35
Time: 45 minutes
Instructions
1. Answer all questions.
2. Show all calculations clearly.
3. Simplify all answers where necessary.
4. Use appropriate mathematical notation throughout.
5. Non-programmable calculators may be used where applicable.
Question 1: Knowledge
Answer the following questions.
1.1
State the general form of a quadratic equation.
(1)
1.2
Identify the values of 𝑎, 𝑏and 𝑐in the equation
4𝑥 2 − 7𝑥 + 2 = 0
(3)
1.3
Determine whether the following equation is quadratic. Give a reason for your answer.
5𝑥 2 + 9 = 0
(1)
[5 Marks]
, Question 2: Routine Procedures
Solve each quadratic equation by factorisation.
2.1
𝑥 2 + 9𝑥 + 20 = 0
(4)
2.2
2𝑥 2 − 8𝑥 = 0
(4)
[8 Marks]
Question 3: Complex Procedures
Solve the following equations using the most appropriate method.
3.1
Solve by completing the square.
𝑥 2 + 6𝑥 − 7 = 0
(5)
3.2
Solve using the quadratic formula.
3𝑥 2 − 5𝑥 − 2 = 0
(5)
[10 Marks]
Question 4: Problem Solving
A school plans to build a rectangular vegetable garden against an existing wall. The
length of the garden must be 5 metres longer than its width. The total area of the
garden must be 84 m².
