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Practice Time 5D
(c) Number of
figure 1 2 3 4 25 100 n 1. S. No. Terms Irreducible Factors
formed
(a) 4xyz 4, x, y, z
Number of
2
matchsticks 5 8 11 14 77 302 3n+2 –3x y –3, x, x, y
used
2 2
(b) 8a b 8, a, a, b, b
3. (a) 4n (b) 5n (c) 4n + 2 (d) 5n + 2 (e) 4n + 1
4. 100x cm 5. 54n pages 6. 50b mangoes –4 –4
7. (2x + 10) oranges (c) 7 7
8. (n – 4) years 9. (l + 5) laddoos 10. (8x + 100) litres
Quick Check –2pq –2, p, q
2 4
x y z (d) 7x 2 7, x, x
Practice Time 5B –11x –11, x
1. (a) Constant: − 1 3 3
2
(b) Constant: 0; variable: x (e) 3p 3, p
(c) Constant: –4 –4pq –4, p, q
(d) Constant: 11; variable: x, z q q
(e) Constant: 11; variable: a
(f) Constant: 1; variable: x, y, z –5 –5
(g) Constant: 29; variable: p, q (f) –3a b –3, a, a, b
2
1
(h) Constant: ; variable: a 2
3 2ab 2, a, b, b
2. (a) p q (b) x y (c) 3a b c (d) 8m 3 –6ab –6, a, b
3 3
2 2
2 3
3 3 2
2 2 3
(e) 120m n l (f) 28x y z (g) 10584a b 5 5
9 11
3. (a) x × x × y × y × y (b) x × x × y × y × z × z × z
(c) 2 × 7 × p × p × q × q (d) 3 × 3 × p × q × r × r × r 2. (a) 6bc (b) 7z (c) 2r (d) −2
(e) 2 × 2 × 3 × m × m × n × n × n (f) 3 × 5 × a × a × a × b × b 5
(g) 2 × 2 × 2 × 2 × x × x × y × y × y × z × z × z 3. S. No. Terms Numerical Coefficients Coefficient of x
(h) 2 × 2 × 2 × 2 × 2 × m × m × n × n × p × p × p
4. `x y 5. `a b c (a) –xyz –1 –yz
3 4
2 2 2
Quick Check 1 1 1
x + 2p – 13 (b) − xy 2 − 7 − y 2
7
7
Life Skills
10(x + y) –2xy –2 –2y
Practice Time 5C (c) 6x 6 6
1. (a) (x + 4) cm (b) (x – 3) cm (c) 2(4x+2y), 8xy – 2xy z –2 – 2y z
2
2
(d) `(5x + 2y)
2 3
2 3
2. (a) 5 + y (b) z – 3 (c) 4x (d) 6 (d) xy z 1 y z
n –x –1 –1
(e) 4z (f) 3x + 4 (g) (y + z) –11 (h) x(7 + y)
4. S. No. Terms contains xy Coefficient of y 2
(z + 4 ) ab x
(i) 5x – 4y (j) (k) (l) + yz (a) –xy 2 –x
3 c + 2 y
(m) –8y + 5 (b) 7xy 1
3. (a) The number y is added to three times the number x. (c) 3x y, –15xy , –2xy –15x, 7
2
2
(b) The sum of the numbers a and b is multiplied by 4.
(c) The product of 2, x and y is subtracted from 100. 5. S. No. Like Terms Unlike terms
(d) 7 is divided by the difference between 5 and x.
(e) 11 is multiplied to the quotient of a by b. 2 2 − 3 2
2
(f) The product of 4, a and c is subtracted from the square of b. (a) ab,− 2 ab, 2 ab –a bc
4. (a) A book costs three times a notebook’s cost.
(b) Tony has eight times more marbles in a box than on a table. ab , 4ab 2
2
(c) The students in the school are 20 times the number of students in
our class. (b) 2xy, –xy, 4yx
(d) Jaggu’s uncle’s age is four times jaggu’s age and his aunt is three
years younger than his uncle. −1
(e) The number of dots is five times the number of rows. −3yz, 2 zy
5. 265 – x – y. 6. P = 3a 7. D = 2r
8. The perimeter P of a triangle is sum of all its sides a, b, and c. (c) 4xy , –3y x, –7y x – 4xyz, 3x yz
2
2
2
2
9. 6 l 10. 12 l
2 2 2
2
2
2
2
11. (a) x + 5 (b) x – 3 (c) 6x (d) 6x – 2 (e) 5 + 3x (d) p qr , 4p qr 2 p q r , –8p qr
Quick Check 6. (a) Binomial (b) Trinomial (c) Monomial (d) Binomial
(a) –3, –3n, –3m (b) –4, –4qr, –4pr, –4pq, –4r (e) Monomial (f) Trinomial (g) Trinomial (h) Binomial
2
Quick Check (i) Monomial (j) Trinomial (k) Binomial (l) Trinomial
11, –24, 1 : x, 11x, –24x; –24y, 11y, y 7. 10x + 50 8. 3x + 16
359 Answers