General Maths Algebra Paper

  1. Attempt the following: (5)
      1. Find the common difference (d) for the given A.P. 5, 10, 15, 20, .......
      2. In the linear equation x + y = 5, if x = 3  then find the value of y.
      3. The number (n) of notebooks and cost (P) of notebooks have direct variation between them. Write it symbolically.
      4. If a = 2, b = - 4 , c = 1 find b2 - 4ac.
      5. Write 12x - 24 = 5x2  in the general form.
  2. Attempt the following. (8)
      1. If tn = 3n + 5, then find the first two terms of the A.P.
      2. Determine whether (1, 4) is the solution of linear equation x + y = 5 or not.
      3. Solve x2 + 9x + 8 = 0 using factorization method.
      4. Express the following information in mathematical form using two variables x and y.
          1. Sum of two numbers is 57.
          2. Difference of the two numbers is 40.
  3. Attempt the following: (9)
      1. Solve the quadratic equation by factorization method: x2 + 10x + 24 = 0.
      2. Solve the simultaneous equation by method of elimination: x + y = 3; x - y = 1.
      3. Complete the following table in which n ∝  m:
n
3
4
5
-
7
m
12
16
-
24
-

  1. Attempt the following: (8)
      1. Find the sum of all odd natural numbers from 1 to 100.
      2. Solve: k + 5d = 31 ; 2x = 10 - 2c. Using the method of equating the coefficient.
  2. Attempt the following: (10)
      1. A farmer borrowed Rs. 8000 and agreed to repay with a total interest of Rs. 1360 in 12 monthly instalments, each instalment being less than the preceding one by Rs. 40. Find the amount of the first and the last instalments.
      2. Solve the following quadratic equation by completing square method: 5y2 - 4y - 1 = 0.