Match the following and select the correct option.
Column I
Column II
(i) r= 13
(P) 2(x + 7) = 3 (x –10)
x :-3 2x+1
(0)
-- +7=
5 3
(ii) r= 3
(R) 9(x + 14) = 27
(S) 12x = 7x + 15
(111) x = 44
(iv)x= -11
Choose the best option
Answers
Answer:
Question 1:
Get the algebraicexpressions in the following cases using variables, constants and arithmetic operations.
(i) Subtraction of z from y.
(ii) One-half of the sum of numbers x and y.
(iii) The number z multiplied by itself.
(iv) One-fourth of the product of numbers p and q.
(v) Numbers x and y both squared and added.
(vi) Number 5 added to three times the product of number m and n.
(vii) Product of numbers y and z subtracted from 10.
(viii)Sum of numbers a and b subtracted from their product.
ANSWER:
(i) y − z
(ii)
(iii) z2
(iv)
(v) x2 + y2
(vi) 5 + 3 (mn)
(vii) 10 − yz
(viii) ab − (a + b)
Page No 234:
Question 2:
(i) Identify the terms and their factors in the following expressions
Show the terms and factors by tree diagrams.
(a) x − 3 (b) 1 + x + x2 (c) y − y3
(d) (e) − ab + 2b2 − 3a2
(ii) Identify terms and factors in the expressions given below:
(a) − 4x + 5 (b) − 4x + 5y (c) 5y + 3y2
(d) (e) pq + q
(f) 1.2 ab − 2.4 b + 3.6 a (g)
(h) 0.1p2 + 0.2 q2
ANSWER:
(i)
(a)
(b)
(c)
(d)
(e)
(ii)
Row
Expression
Terms
Factors
(a)
− 4x + 5
− 4x
5
− 4, x
5
(b)
− 4x + 5y
− 4x
5y
− 4, x
5, y
(c)
5y + 3y2
5y
3y2
5, y
3, y, y
(d)
xy + 2x2y2
xy
2x2y2
x, y
2, x, x, y, y
(e)
pq + q
pq
q
p, q
q
(f)
1.2ab − 2.4b + 3.6a
1.2ab
− 2.4b
3.6a
1.2, a, b
− 2.4, b
3.6, a
(g)
(h)
0.1p2 + 0.2q2
0.1p2
0.2q2
0.1, p, p
0.2, q,