Algebra 2 Past Questions & Worked Solutions

If one number is t, then t(7-t)=10\implies t^2-7t+10=0. Since (t-2)(t-5)=0, the numbers are 2 and 5.

Exam-style UCE Mathematics questions on Algebra 2 with step-by-step worked solutions for Senior 1–4 candidates preparing for UNEB examinations.

3 questions available

Sample Questions

Worked Examples & Step-by-Step Solutions

Preview exam-style UCE Mathematics problems with full step-by-step solutions.

Sample Question 1: Solving quadratic equations by factorisation3 marks

Question

Solve $x^2-5x+6=0.$

Step-by-Step Worked Solution

Factorise: $(x-2)(x-3)=0.$ Therefore $\boxed{x=2\text{ or }x=3}.$

Sample Question 2: Quadratic word problem with sum and product4 marks

Question

Two numbers have sum $7$ and product $10$ . Find the numbers.

Step-by-Step Worked Solution

If one number is $t$ , then $t(7-t)=10\implies t^2-7t+10=0.$ Since $(t-2)(t-5)=0,$ the numbers are $\boxed{2\text{ and }5}.$