Algebraic Expressions and Identities
20 solved questions from Class 8 Mathematics, each with the full working. Tap any question to see the step-by-step solution.
- 1 Find the zeroes of the quadratic polynomial x² - 5x + 6. medium MCQ Zeroes of Polynomial
- 2 What is the degree of a non-zero constant polynomial? medium MCQ Degree of Polynomial
- 3 Solve for x: 2x + 5 = 15. medium MCQ Linear Equations
- 4 Find the discriminant (D) of x² - 4x + 4 = 0. medium MCQ Quadratic Discriminant
- 5 If the roots of ax² + bx + c = 0 are real and equal, what is D? medium MCQ Nature of Roots
- 6 Expand (a + b)². medium MCQ Algebraic Identities
- 7 Factorise x² - 9. medium MCQ Difference of Two Squares
- 8 Solve pair of equations: x + y = 10 and x - y = 4. medium MCQ Pair of Linear Equations
- 9 What is the degree of a quadratic polynomial? medium MCQ Degree of Polynomial
- 10 If x = 2 is a root of x² - kx + 10 = 0, find k. medium MCQ Roots of Equation
- 11 What is the domain, range, or fundamental theorem introduced in 'Algebraic Expressions and Identities' (Class 8 Mathematics)? medium MCQ Functions & Theorems
- 12 What is the derivative or integral formula associated with 'Algebraic Expressions and Identities'? medium MCQ Calculus & Formulae
- 13 How do you find the solution set or optimum value in 'Algebraic Expressions and Identities'? medium MCQ Problem Solving & Optimization
- 14 Simplify the expression (4p^2 + 3p) - (p^2 - 5p + 2) and choose the correct simplified form. easy MCQ 1 mark Simplification of polynomial expressions
- 15 Solve the equation (x^2 - 5x + 6)/(x - 2) = x - 1, finding all real solutions. hard 4 marks Simplifying rational expressions
- 16 A quadratic equation has roots 3 and 7. Write the equation and compute its discriminant. medium 3 marks Root–coefficient relationships
- 17 Factorise the quadratic 4x^2 - 20x + 25 medium 3 marks Factoring perfect square trinomials
- 18 For the quadratic equation x^2 + px + q = 0, the sum of its roots is 5 and the product of its roots is -6. Find the values of p and q. hard 4 marks Vieta's formulas for quadratic equations
- 19 Expand and simplify (2x + 5)(x - 3) easy 2 marks Expanding binomials
- 20 After performing polynomial division of x^3 - 3x^2 + 3x - 1 by x - 1, what is the quotient? hard MCQ 4 marks Polynomial long division