Algebraic Expressions Worksheet-1

Algebraic Expressions Worksheet-1

1. The degree of constant polynomial is _______.

(a) 1                     (b) 2                    (c) 0                    (d) 3

2. If  then is _______.

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

3. The product of two factors with unlike signs is _______.

(a) Positive                                     (b) Negative

(c) Cannot be determined (d) None of these

4. The quotient when (–56 mnp²) is divided by (7 mnp) is _______.

(a) –8 p              (b) 8 mnp          (c) 8 p                 (d) 8 m

5. On dividing  8x²y³ by –2xy, we get quotient _______.

(a) –4xy²           (b) 4xy²              (c) 4x²y³             (d) 4xy

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

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

7. The value of is _______.

(a) 1                     (b) 10                  (c) 100                (d) 20

8. If 2x + y = 5, then 4x + 2y is equal to _______.

(a) 5                    (b) 8                    (c) 9                    (d) 10

9. Subtract x³ – xy² + 5x²y – y³ from  –y³ – 6x²y – xy² + x³.

(a) 2y³ – 8x²y + 3xy² – 2x³        (b) 2x³ – 2xy² + x2^y – 2y³

(c) –11x²y                                       (d) xy

10. The product of (x² + 3x + 5) and (x² – 1) is _____.

(a) x⁴ + 3x³ – 4x² – 3x – 5         (b) x⁴ + 3x³ + 4x² – 3x – 5

(c) x⁴ + 3x³ + 4x² + 3x – 5         (d) x⁴ + x³ + x + 5

11. On dividing 29x – 6x² – 28 by 3x – 4, we get quotient ______.

(a) –2x + 7        (b) 2x – 7           (c) 2x + 7           (d) 2x

12. If then the value of y is _____.

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

13. If the product of two numbers is 10 and the sum is 7, then the larger of the two numbers is _____.

(a) –2                 (b) 2                    (c) 5                    (d)

14. Find the missing term in the following problem.

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

15. The difference of the degrees of the polynomials 3x²y² + 5xy⁷ – x⁶ and 3x⁵ – Ax³ + 2 is

(a) 2                    (b) 3                    (c) 1                     (d) 0

Answer Key:

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