Algebra Worksheet-2

Algebra Worksheet-2

1. What must be subtracted from x⁴ + 2x² – 3x + 7 go get x³ + x² + x – 1 ?

(a) x⁴ – x³ + x² – 4x + 8             (b) x³ + x² – 4x + 8

(c) x⁴ – x³ + x² + 4x – 8              (d) x⁴ – x³ – x² + 4x – 8

2. The product of x²y and is equal to the quotient obtained when x² is divided by ______.

(a) 0                    (b) 1                    (c) x                    (d)

3. If (3x – 4)(5x + 7) = 15x² – ax – 28 then a = ______.

(a) 1                     (b) –1                  (c) –2                 (d) None of these

4. The product of two factors with unlike signs is ______.

(a) positive                                     (b) negative

(c) cannot be determined           (d) none of these

5. Subtracting x³ – xy² + 5x²y – y³ from –y³ – 6x²y – xy² + x², we get:

(a) 2y³ – 8x²y + 3xy² – 2x³        (b) 2x³ – 2xy² – x²y – 2y³

(c) –11x²y                                       (d) None of these

6. The value of 25x² + 16y² + 40xy at x = 1 and y = –1 is:

(a) 81                  (b) –49               (c) 1                     (d) None of these

7. Find the missing term in the following problem.

(a) 2xy                (b) –2xy             (c) 12xy              (d) –12xy

8. The value of is:

(a) 9                    (b) 6.66              (c) 1.176             (d) None of these

9. If then =_____.

(a) 2                    (b) 4                    (c) 6                    (d) 8

10. If then _____.

(a)               (b) 9                    (c)               (d) None of these

11. If 3x – 7y = 10 and xy = –1 then the value of 9x² + 49y² is:

(a) 58                  (b) 142                (c) 104                (d) –104

12. If a + b + c = 10 and a² + b² + c² = 36 then ab + bc + ca = ______.

(a) 136                (b) 64                 (c) 32                  (d) 68

13. If x – y = 4 and xy  = 21 then x³ – y³ = ______.

(a) 361                (b) 316                (c) –188             (d) None of these

14. (a + b)³ – (a – b)³ = ______.

(a) b³ + 3a²b                                  (b) 2(b³ + 3a²b)

(c) 2(a³ + 3ab²)                             (d) 0

15. The product of (4x – 3y) and (6x² + 12xy + 9y²) is:

(a) (4x – 3y)³                                 (b) (16x² + 12xy + 9y²)

(c) 64x³ – 27y³                              (d) None of these

Answer Key:

(1)-a; (2)-d; (3)-b; (4)-b; (5)-c; (6)-c; (7)-b; (8)-a; (9)-d; (10)-b; (11)-a; (12)-c; (13)-b; (14)-b; (15)-c