ALGEBRA WEEKLY TEST

CHAPTERS COVERED: #ARITHMETIC PROGRESSION & #QUADRATIC EQUATION 

MARKS: 30 

1. Find the first five terms of the following sequences, whose nth terms are given.  t_n = 4n – 3

2. Which of the following lists of numbers are Arithmetic Progressions? Justify.  1, 3, 6, 10, ..... 

3. Find the twenty fifth term of the A. P. : 12, 16, 20, 24, ..... 

4. Find four consecutive terms in an A.P. whose sum is 12 and the sum of 3rd and 4th term is 14.

5. What will be her salary after 20 months? [Ans.]

6. Write the following quadratic equations in standard form ax² + bx + c = 0.  7 – 4x –x² = 0  [Ans]

7. Solve the following quadratic equations by  factorization method.  x² – 5x + 6 = 0 [Ans.]

8. Solve the following quadratic equations by using formula. m² – 3m – 10 = 0 [Ans]

9. Determine the nature of the roots of the following equations from their  discriminants : y² – 4y – 1 = 0 [Ans.]

10. Form the quadratic equation if its roots are : 5 and – 7     [Ans.]