ALGEBRA WEEKLY TEST

CHAPTERS COVERED: #ARITHMETIC #PROGRESSION & #QUADRATIC #EQUATION 

MARKS: 30 

1. For each of the sequence, find the next four terms. 1, 2, 4, 7, 11, .....

2. Find the first three terms of the sequences for which S_n is given below: S_n = n²(n + 1) 

3. Form the quadratic equation if one of the root is  3 – 2√ 5 [Ans.]

4. Find the sum of the first n natural numbers and hence find the sum of first 20natural numbers.

5. Mary got a job with a starting salary of Rs. 15000/- per month. She will get an incentive of Rs. 100/- per month.

6. Which of the following are quadratic equations ?  11 = – 4x² – x³          [Ans.]

7. In each of the examples given below determine whether the values given against each of the quadratic equation are the roots of the equation or not.   x² + 3x – 4 = 0,  x = 1, –2, – 3 [Ans]

8. Solve the following quadratic equations by completing square.  x² + 8x + 9 = 0 [Ans]

9. Find the value of discriminant of each of the following equations : x² + 4x + 1 = 0   [Ans]

10. Find the value of k for which given equation has real and equal roots : (k – 12)x² + 2 (k – 12)x + 2 = 0  [Ans.]