Q. 1) Fill in the blanks:
(a) 5 added to -5 = ……….
(b) If x = 3, then 3x – 5 = ……….
(c) If x = 1 and y = 2, then 2x + 3y = ……….
(d) If 10x – 6 = 14, then x = ……….
(e) 4 less than a number x = ……….
Q. 2) Write an algebraic expression for each of the following:
(a) 3 subtracted from a number y.
(b) 5 is added to three times a number x.
(C) The sum of a number x and 4 is doubled.
(d) One fourth of a number x is added to one third of the same number.
Q. 3) Change the following statements using expressions into statements in ordinary language.
(a) A notebook costs ₹ p. A book costs ₹ 3p.
(b)Jaggu is z years old. His uncle is 4z years old and his aunt is (4z – 3) years old.
Q. 4) Pick out the solution from the values given in the bracket next to each equation.Show that the other values do not satisfy the equation.
(a) 5m = 60 (10, 5, 12, 15)
(b) n + 12= 20 (12, 8, 20, 0)
(c) p – 5 = 5 (0, 10, 5 – 5)
(d) q / 2 = 7 (7, 2, 10, 14)
Answers
Answer:
(a) 0
(b) x=3
3×3-5=9-5
= 4 ans
(c) x=1, y=2 then 2x+3y
2×1+3×2
2+6 = 8 ans
(d) 10x-6=14
10x = 14+6
10x = 20
x = 20/10 = 2 ans
Answer:
Q1)
1A) 5+(-5)=0
1B) 3(3) - 5 =
= [9-5]
= 4
1C) 2(1) + 3(2) =
= [2 + 6]
= 8
1D) 10x - 6 = 14
= 10x = (14 + 6) OR 10x - 6 + 6 = 14 + 6
= 10x = 20 10x = 20
= x = 20/10 10x/10 = 20/10
= x = 2 x = 2
Q2)
2A) y - 3
2B) 3x + 5
2C) (X + 4) x 2
2D) 1x/4 + 1x/3
Q3)
3A) Cost of notebook = Rupees P
Cost of book = Rupees (3 x P)
3B) Age of Jaggu = z
Age of his uncle = 4 x z
Age of his Aunt = (4z -3)
Q4)
4A) 5m = 60
= m = 60/5
= m = 12
4B) n + 12 = 20
= n = 20 - 12
= n = 8
4C) p - 5 = 5
= p = 5 + 5
= p = 10
4D) q/2 = 7
= q = 7 x 2
= q = 14