SSC BOARD PAPERS IMPORTANT TOPICS COVERED FOR BOARD EXAM 2024

### 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 Sn is given below: Sn = n2(n + 1)

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

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.]