Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics

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Unit 7 Brain Teaser | Algebraic Identities | Class-8 DAV Secondary Mathematics

Q1. Tick the correct option.

(i) The factor of (1-6z+9z^2) are

(a) (1+3z)(1-3z) (b) (z+3)^2 (c) (3z-1)^2 (d) (z-3)^3

Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics

(ii) Which of the following is an algebraic identity?

Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics

(iii) Factorized form of y^2 + 3y + y + 3 is

Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics

(iv) Factorized form of p^2 – 17p – 38 is

Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics

(v) A side of the square with area (4x^2 + 12x + 9) square units is

Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics

Q1B. Answer the following questions.

Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics

Q2. Find the following products using a suitable identity:

Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics

Q3. Express the following as square of a binomial and evaluate for the given values:

Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics

Q4. Simplify the following:

Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics

Q5. Evaluate the following by using suitable identity:

Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics

Q6. Evaluate x if

Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics

Q7. Factorise the following expressions:

Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics

Q8. If x+1/x = 8, find the value of x2+ 1/x2.

Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics

Q9. If a-1/a = 5, find the value of a2+1/a2.

Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics

Q10. Find the value of (a+1/a).

Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics

Q11. Find the value of (x-1/x).

Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics

Q12. Simplify

Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics

Q13. If 3x-4y = 10 and xy = -1, find the value of 9x^2 + 16y^2.

Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics

Q14. If 5x – 2y = 7 and xy = 2, find the value of (5x + 2y)^2.

Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics

Q15. Find the value of (a-1/a).

Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics
Chapter 7 | Algebraic Identities | Class-8 DAV Secondary Mathematics

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