Algebraic Expressions Worksheet-2

Algebraic Expressions Worksheet-2

1. What must be subtracted from x⁴ + 2x² – 3x + 7 to 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 value of is _______.

(a) 9                    (b) 6.66              (c) 1.176             (d) 8

3. On multiplying 7x² by –6x³, we get product

(a) 42x⁵              (b) –42x            (c) –42x⁵           (d) 40x

4. The degree of polynomial 6x³ + 7x² + 10 is _____.

(a) 3                    (b) 2                    (c) 1                     (d) 4

5. If 0 < a < 1, then the value of   is _______.

(a) Greater than 2                        (b) Less than 2

(c) Greater than 4                        (d) Less than 4

6. The value of   is _______.

(a) 0                    (b) 0.1                 (c) 0.2                (d) 0.04

7. The remainder obtained when x⁶ + 3x² + 10 is divided by x³ + 1 is

(a) x² – 1            (b) x³ – 1            (c) 3x² + 11        (d) x³ + x

8. The degree of the polynomial 5x³ – 6x³y + 4y² – 8 is _______.

(a) 3                                                 (b) 4

(c) 2                                                 (d) Cannot be determined

9. The value of the product   and   at x = 1 is _____.

(a) 150                (b) 148               (c) 152                (d) 140

10. (9p – 5q)² + 180 pq is equivalent to _______.

(a) (5p + 9q)²                                (b) (6p – 9q)²

(c) (9p + 5q)²                                (d) (9p – 6q)

11. (3x – 5y)³ – (5x – 2y)³ + (2x + 3y)³ is equal to ______.

(a) (3x – 5y) (5x – 2y) (2x + 3y)

(b) 3(3x – 5y) (5x – 2y) (2x + 3y)

(c) (3x – 5y) (2y – 5x) (2x + 3y)

(d) –3(3x – 5y) (5x – 2y) (2x + 3y)

12. The value of the product (3x² – 5x + 6) and (–8x³) when x = 0 is ______.

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

13. If quotient = 3x² – 2x + 1, remainder = 2x – 5 and divisor = x + 2, then the dividend is

(a) 3x³ – 4x² + x – 3                    (b) 3x³ – 4x² – x + 3

(c) 3x³ + 4x² – x + 3                    (d) 3x³ + 4x² – x – 3

14. The product of xy and x³y³ is _______.

(a) xy                  (b) x³y³               (c) x⁴y⁴               (d) x²y²

15. If a + b + c = 9 and ab + bc + ca = 26, then value of a³ + b³ + c³ – 3abc is _____.

(a) 27

(b) 39

(c) (a + b)² – (a – b)³ 2(a³ + 3ab²)

(d) 729

Answer Key:

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