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Algebra Worksheet-12

Algebra Worksheet-12

 

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

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

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

 

  1. If x = 5 and y = x + 7 then, value of

(a) 65                  (b) 26                 (c) 17                   (d) 13

 

  1. If the value of 2x3 – 2x2 + x – a equals to 5, when x = 2, then the value of 'a' is

(a) 4                    (b) 5                    (c) 3                    (d) 6

 

  1. On simplification the product of given expression is

(a)                                       (b)

(c)                                       (d)

 

  1. By how much is a4 + 4a2b2 + b4 more than a4 – 8a2b2 + b2?

(a) 12 a2b2         (b) –12 a2b2      (c) 2a4 + 2b4     (d) 10a2b2

 

  1. If 2l – 3m = –1 and lm = 20, then the value of 4l2 + 9m2 is

(a) 239               (b) 240               (c) 241                (d) 361

 

  1. Degree of zero is

(a) 0                    (b) 1                    (c) 2                    (d) Not defined

 

  1. The value of (2.3 a5b2) × (1.2 a2b4), when a = 1 and b = 0.5 is

(a) 0.011625     (b) 0.043125     (c) 0.031825     (d) 0.041525

 

  1. The degree of (6x7 – 7x3 + 3x2 + 2x – 1) is .......

(a) 7                    (b) 6                    (c) 3                    (d) 5

 

  1. If 4l2 + (k + 10)lm + 25m2 is a perfect square, then the value of k is

(a) –9                 (b) 10                  (c) 0                    (d) 5

 

  1. The  factors of x4 + 4 are

(a) (x2 + 2) (x2 + 2)                      (b) (x2 + 2) (x2 – 2)

(c) (x2 – 2x + 2) (x2 + 2x + 2)   (d) Does not exist

 

(a)                  (b)                 (c) –81               (d) 81

 

  1. 184 is divided into two parts such that one-third of one part may exceed one - seventh of the other part by 8, then the greater part is

(a) 72                  (b) 110                (c) 112                 (d) 114

 

  1. If 7x + 3 = 17, what is the value of 7x – 3?

(a) 14                  (b) 11                   (c) 0                    (d) –3

 

  1. The sum of 4 consecutive integers is 70. Then the greatest among them is

(a) 19                  (b) 23                 (c) 17                   (d) 16

 

  1. The three even consecutive integers whose sum is 90 are

(a) 26, 30, 34   (b) 24, 32, 34   (c) 24, 28, 38   (d) 28, 30, 32

 

  1. 4 is added to a number and the sum is multiplied by 5. If 20 is subtracted from the product and the difference is divided by 8, the result is equal to 10. The number is

(a) 16                  (b) 12                  (c) 8                    (d) 20

 

  1. The value of x so that 0.5x – [0.8 – 0.2x] = 0.2 – 0.3x is

(a) 0.1                 (b) 1                    (c) 2                    (d) 3

 

  1. A number consists of two digits whose sum is 9. If 27 is added to the number, its digits are interchanged. Are the given steps to find the number true?

Step 1: Let the unit's digit be x

Step 2: Then, ten's digit = (9 – x)

∴ number = 10 × (9 – x) + x ⇒ 90 – 19x + x = (90 – 9x)

Step 3: Adding 27 to the number 90 – 9x we get 117 – 9x

Step 4: Number with digits interchanged is 10x + (9 – x) = 9x + 9

Step 5: 17 – 9x = 9x + 9

Step 6: Therefore unit's digit = 6 and ten's digit = 3

Step 7: Hence the number = 36.

(a) Yes                                             (b) No

(c) Can not say                              (d) Only step 1 and 2 are correct

 

  1. A person travelled th  of the distance by train, th  by bus and the remaining 15 km by boat. The total distance travelled by him was

(a) 90 km          (b) 120 km        (c) 150 km         (d) 180 km

 

Answer Key:

(1)-(c); (2)-(d); (3)-(b); (4)-(c); (5)-(a); (6)-(c); (7)-(d); (8)-(b); (9)-(a); (10)-(b); (11)-(c); (12)-(b); (13)-(c); (14)-(b); (15)-(a); (16)-(d); (17)-(a); (18)-(b); (19)-(a); (20)-(b)