Algebra Worksheet-8

Algebra Worksheet-8

1. Algebraic expression for the statement: 6 times a taken away from 40.

(a) 6a – 40        (b) 40a – 6        (c) 40 – 6a        (d) 0

2. ‘6 less than ten times a’ is written as

(a) 6 – 10a         (b) 10a – 6        (c) 10ac              (d) 6 < 10 × a – 6

3. What is the value of ax² + bx + c at

(a) a                    (b) b² – 4ac       (c) c                     (d) 0

4. The degree of 4x²y⁴z⁶ is

(a) 2                    (b) 12                  (c) 4                    (d) 6

5. What is the zero of the binomial ax + b?

(a) 0                    (b)                   (c)                 (d)

6. Simplify x²y³ – 1.5x²y³ + 1.4x²y³

(a) 0.9x²y³         (b) –0.9x²y³      (c) 0.9                (d) –0.9

7. The degree of a trinomial ax⁵ – bx⁴ + c is

(a) 9                    (b) 5                    (c) 4                    (d) 1

8. Simplify (a³ – 2a² + 4a – 5) – (–a³ – 8a + 2a² + 5)

(a) 2a³ + 7a² + 6a – 10                (b) 2a³ + 7a² + 12a – 10

(c) 2a³ – 4a² + 12a – 10              (d) 2a³ – 4a² + 6a – 10

9. By how much is a⁴ + 4a²b² + b⁴ more than a⁴ – 8a²b²  + b⁴?

(a) 12a²b²          (b) –12a²b²       (c) 2a⁴ + 2b²     (d) None

10. By how much is x⁴ – 4x²y² + y⁴ less than x⁴ + 8x²y² + y⁴ ?

(a) –12x²y²        (b) 12x²y²           (c) –12xy           (d) 12xy

11. Write the following algebraic expression in ascending order

x – x⁸ + x² – 1.7x¹⁰ + 1.4x⁸ – 7.8x² + 4 – 9x

(a) 4 – 8x – 6.8x² + 0.4x⁸ – 1.7x¹⁰

(b) –1.7x¹⁹ + 0.4x⁸ – 6.8x² – 8x + 4

(c) 4 – 6.8x – 8x² + 0.4x⁸ – 1.7x¹⁰

(d) None of these

12. Add

(a)               (b)

(c)             (d) None

13. What is the missing term in the following product:

(2a³ – 3) (5a³ – 2) = 10a³ + ____ + 6

(a) 19a³              (b) –19a³           (c) 16a³               (d) –17a³

14. The product of and is

(a)                         (b)

(c)                         (d)

15. Simplify the following expression: x(y – z) – y(z – x) – z(x – y)

(a) 2x(y – z)      (b) 2y(z – x)      (c) 2x(z – y)      (d) None

16. Find the expression that makes the solution table true.

y       -        Solution

12     -        13

20     -        15

36     -        19

32     -        18

(a) 2y² + 5         (b)          (c)  y³ + 3y         (d) d⁴ – 13

Answer Key:

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