Algebraic Expressions Worksheet-3

Algebraic Expressions Worksheet-3

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

(a) 81                  (b) –49               (c) 1                     (d) 2

2. Subtract 3pq(p – q) from 2pq(p + q).

(a) –p²q + 5pq²                             (b) –5pq² + 9p²q

(c) p²q – 5pq²                                (d) 4pq – p²q

3. Which of the following expression is a polynomial?

(a)                               (b)

(c) 3x²y –2xy + 5x⁴                      (d)

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

(a) 1                     (b) –1                  (c) –2                 (d) 0

5. The value of (55)³ – (75)³ + (20)³ is _______.

(a) –247500     (b) 251750         (c) 125320         (d) 12345

6. If x + y = 6 and 3x – y = 4, then (x – y) is equal to ______.

(a) –1                  (b) 0                    (c) 2                    (d) 4

7. What must be added to x³ + 3x – 8 to get 3x³ + x² + 6?

(a) 2x³ + x² – 3x + 14                  (b) 2x³ + x² + 14

(c) 2x³ + x² – 6x – 14                  (d) x³ + x² + 14

8. What must be added to x² + 5x – 6 to get x³ – x² + 3x – 2?

(a) x³ – 2x² – 2x – 4                    (b) x³ + 2x² – 2x + 4

(c) x³ – 2x² – 2x + 4                    (d) x³ + x

9. can be expressed as ______.

(a) 0                    (b) a + b + c      (c) 1                     (d) –(a + b + c)

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

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

11. The quotient when 8x²y² – 6xy² + 10x²y³ is divided by 2xy is _____.

(a) 4xy – 3y + 5xy²                       (b) 4xy + 3y – 4xy²

(c) 8xy + 3y – 5xy²                       (d) 4xy – 3y – 5xy²

12. The value of (x + 3)³ – (x – 3)³ is _____.

(a) 0                    (b) 1 – x³            (c) 3x² – 5         (d) 18x² + 54

13. The product of (4x – 3y) and (16x² + 12xy + 9y²), is ______.

(a) (4x – 3y)³                                 (b) (16x² + 12xy + 9y²)²

(c) 64x³ – 27y³                              (d) (x – y)²

14. If   then

(a)               (b) 9                    (c)               (d) 8

15. A factor of x³ – 1 is _____.

(a) x – 1                                          (b) x² + x + 1

(c) Both x – 1 and x² + x + 1      (d) x + 1

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

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

17. If x – y = 4 and xy = 21, then x³ – y³ = _______.

(a) 361                (b) 316                (c) –188             (d) 360

18. The product of by is _______.

(a)             (b) x²yz               (c) 6x²yz             (d) xyz

19. Which of the following is not a polynomial in x?

(a)                        (b) x² – 5x + 6

(c)                    (d) 3x + 11

Answer Key:

(1)-c; (2)-a; (3)-c; (4)-b; (5)-a; (6)-a; (7)-a; (8)-c; (9)-b; (10)-d; (11)-a; (12)-d; (13)-c; (14)-b; (15)-c; (16)-c; (17)-b; (18)-b; (19)-a