Algebraic Expressions
21 solved questions from Class 7 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' (Class 7 Mathematics)? medium MCQ Functions & Theorems
- 12 What is the derivative or integral formula associated with 'Algebraic Expressions'? medium MCQ Calculus & Formulae
- 13 How do you find the solution set or optimum value in 'Algebraic Expressions'? medium MCQ Problem Solving & Optimization
- 14 Simplify the algebraic expression (3a^2b - 2ab^2) + (4ab^2 - a^2b) and choose the correct simplified form. medium MCQ 2 marks Combining like terms
- 15 For what value of k does the rational expression (x^2 - kx + 9)/(x - 3) simplify to a linear polynomial with no remainder? Find the value of k. hard 3 marks Remainder theorem for rational expressions
- 16 Expand the product (2x + 3)(4x - 5). easy 1 mark Expansion of binomials
- 17 Find the domain of the algebraic expression (x^2 - 9)/(x - 3). medium 2 marks Domain of rational expression
- 18 Factorise the polynomial x^4 - 5x^2 + 4 completely. hard 4 marks Factorisation of biquadratic
- 19 Which is the correct simplification of the expression 5p^2q - 3pq^2 + 2pq^2 - 4p^2q? easy MCQ 1 mark Simplification of algebraic expression
- 20 For which value of r does (x^2 + r x + 9)/(x + 3) reduce to a linear polynomial with no remainder? hard 3 marks Rational expression simplification
- 21 Expand the product (3m - 2n)(4m + 5n). medium 2 marks Distributive property (expansion)