Simplify 6a^2b/9ab^2.

Cancel the common factors 3ab: 6a^2b/9ab^2=\frac{2a{3b}}, a,b≠0.

Senior 1 · UCE Mathematics

Algebra 1 Past Questions & Worked Solutions

Expand and collect like terms: 6x-7=2x+10, so 4x=17 and therefore x=\frac{17{4}}.

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

3 questions available

Sample Questions

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

Sample Question 1: Solving linear equations with grouping symbols3 marks

Question

Solve $3(2x-1)-4=2(x+5).$

Step-by-Step Worked Solution

Expand and collect like terms: $6x-7=2x+10,$ so $4x=17$ and therefore $\boxed{x=\frac{17}{4}}.$

Sample Question 2: Simplifying algebraic fractions with common factors2 marks

Question

Simplify $\frac{6a^2b}{9ab^2}.$

Step-by-Step Worked Solution

Cancel the common factors $3ab$ : $\frac{6a^2b}{9ab^2}=\boxed{\frac{2a}{3b}},\qquad a,b\ne0.$