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Algebraic Expressions Class 7 Math Worksheet – 50 Marks
Algebraic Expressions
(1) Identify monomials, binomials and trinomials. [6 × 1] = 6
(i) 9x2 – y2
(ii) p3 + p2q + pq2
(iii) (-m)3
(iv) xyz
(v) a + b – c
(vi) pq + qr + rq
(2) Add the terms to write an algebraic expression. [4 × 1] = 4
(i) a2, -b2, -c2
(ii) 2xy, 3yz, zx
(iii) -2lm, l, -mn, n
(iv) 5abc, 2bc, -8ab
(3) If P = x – 2y + z, Q = -2x + y + z and R = x + y – 2z then find. [6 × 1] = 6
(i) P – Q
(ii) Q – R
(iii) R – P
(iv) P – Q – R
(v) P – Q + R
(vi) P + Q – R
(4) What should be added to m7 – m6 + m5 – m4 + m3 – m2 + m + 1 to get m7 + m5 + m3 – 1? [1 × 2] = 2
(5) Simplify : [6 × 1] = 6
(i) 3a (a – 2b – 2c)
(ii) x (x + y – z)
(iii) pq (p + q)
(iv) 3m (m – n)
(v) 2a (a + b)
(vi) 2x (2y – 2z)
(6) Multiply : [4 × 1] = 4
(i) -4xy and -2yz
(ii) 4mn and 2m2n
(iii) 7a and -8
(iv) -6p2q and 3pqr2
(7) Simplify the following binomials by using the identity. [4 × 1] = 4
(i) (a + 1) (a + 2)
(ii) (2m + 3) (2m + 1)
(iii) (4x + 5) (4x – 1)
(iv) (3y – 1) (3y – 7)
(8) By using identity, find the square of the following binomials. [4 × 1] = 4
(i) a – b
(ii) 2m + 3n
(iii) 2a + 3b
(iv) 5x – 6y
(9) Factorize by using identity [4 × 1] = 4
(i) 4x2 – 25
(ii) 4p2 – 16q2
(iii) 9a2 – 16b2
(iv) 12x2 – y2
(10) Factorize the following expressions. [4 × 1] = 4
(i) x2y2 + 7xy – xy – 7
(ii) a2 + 5a – 2a – 10
(iii) p2 + 3p – 4p + 12
(iv) xa – yb ÷ ya – xb
(11) Factorize: [1 × 2] = 2
(i) 75 – 3(a – b)2
(ii) x2 – 26x + 169
(12) Simplify the following by using identity. [1 × 2] = 2
(i) (5a – 6) (5a + 7)
(ii) (2p – 5q)2
(13) What is a binomial? [1 × 1] = 1
(14) What is an algebraic identity? [1 × 1] = 1