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Linear Equations Class 7 Math Worksheet – 30 Marks
Linear Equations
(1) Distribute an amount of Rs. 400 between Rahul and Ankit such that Rahul gets Rs.50 more than twice as much as Ankit gets. [1 × 3] = 3
(2) Solve the following equations. [6 × 1] = 6
(i) 11a – 2 = 20
(ii) 1/4a = 2
(iii) m + 1 = 5
(iv) a – 5/4 = 7
(v) 5m/2 = 10
(vi) a – 7 = – 15
(3) A father’s age is twice his daughter’s age but 18 years ago the father’s age was 4 times his daughter’s age. Calculate their ages. [1 × 3] = 3
(4) Sourav bought 5 Cakes. He gave Rs. 500 to the shopkeeper. The shopkeeper returned him Rs. 250. For how much did he buy one Cake? [1 × 3] = 3
(5) Find the solutions of the following equations. [5 × 1] = 5
(i) 12m – 3 = 5(2m + 1)
(ii) m – 2/3m + 4 = 1/7
(iii) 5m – 3 = 3m – 5
(iv) 4m + 3/3 = m + 7/2
(v) m – 1/m – 2 = 4/3
(6) Solve each of the following equations. [5 × 1] = 5
(i) 1/3 (a – 3) + 2/3 = 1/3 (4a – 3) + 7/2
(ii) 2a + 3 = 5a + 7
(iii) 5a – 5/3 = 3a – 2/3
(iv) 2 – 3/2 a = 5/2 (1 – a)
(v) 3(3a – 1) – 8(a + 3/2) = 0
(7) What is a linear equation? [1 × 1] = 1
(8) Define the linear equation in one variable. [1 × 1] = 1
(9) The sum of three consecutive numbers is 75. [1 × 1] = 1
(10) Three times a number is 15. [1 × 1] = 1
(11) A number divided by 5 gives 9 less than twice the number. [1 × 1] = 1