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Algebra Worksheet-9

Algebra Worksheet-9

 

  1. Write as an algebraic expression.

The sum of y and 10 is 3 more than n.

(a) (y + 10) = n + 3                      (b) (y + 10) – 3 = n

(c) (y + 3) = n + 10                       (d) (y + 10) + 3 = n

 

  1. Write an algebraic expression for the following statement.

[Hint: Let y be the first number.]

The sum of three consecutive  whole numbers.

(a) y + 2y + 3y                               (b) 3y + 1

(c) y + (y + 1) + (y + 2)                (d) y + y + y

 

  1. The statement “one-fourth of a number y, decreased by thirty-six” is represented by which of these expressions?

(a) 2d4 – 13                                    (b) 4y – 36

(c) d2 – 13                                      (d) d – 13

 

  1. Evaluate the following algebraic expression for b = 4.

3(2b – 2) + (–b + 1)

(a) 33                  (b) 15                  (c) 21                   (d) 12

 

  1. What value of x will make the following equation true?

(a) 50                  (b) 25                  (c) 32                  (d) 60

 

  1. Deepak made a total of Rs. 130 by selling 5 magazines and 6 coupon books. He sold each coupon book for Rs. 12.50. Which equation can you use to find the cost, c, of each magazine?

(a) 5 + c + Rs. 12.50 × 6 = 130

(b) 6c + Rs. 12.50 × 5 = 130

(c) 5c + Rs. 12.50 × 6 = 130

(d) c + Rs. 12.50 × 6 = 130 – 5c

 

  1. Write as an algebraic expression. Number of hours in d weeks.

(a) 168 + d                                      (b) 22 ÷ n = 9  

(c)                               (d) 168d

 

  1. The sum of a number y and 3, multiplied by 5 is 30. Find that number.

(a) 3                     (b) 5                     (c) 6                     (d) 9

 

  1. Which equation best represents the data shown in the table?

x       -        y

3       -        –4

–1     -        4

6       -        –31

–2    -        1

(a) y = y2 + 5                                  (b) y = –x2 + 3

(c) y = –2x2 – 5                             (d) y = –x2 + 5

 

  1. Evaluate 4y + 12 for y = 3.

(a) 12                   (b) 19                  (c) 24                  (d) 28

 

  1. y3 + 3y for y = 7.

(a) 343               (b) 346               (c) 245                (d) 364

 

  1. Write as an algebraic expression.

The square of a number d decreased by 13.

(a) d4 – 13         (b) 2d4 – 13       (c) d2 – 13                   (d) d – 13

 

  1. Write the following statement as a variable expression.

The number of kilograms  in g quintal.

(a)                  (b)                   (c) 100g             (d)

 

  1. Evaluate the following algebraic expression for a = 2 and b = 3.

9b3 + a – 6ab

(a) 209               (b) 245               (c) 207               (d) –7

 

  1. Evaluate: a3 + 4a for a = 4

(a) 64                  (b) 80                 (c) 48                  (d) 60

 

  1. Write as an algebraic expression.

The product of y and z, increased by 5.

(a) 5z + 5           (b) yz + 5           (c) 5yz + y          (d) 5y + z

 

  1. Write as an algebraic expression.

Seven more  than three times a number.

(a) 3n – 7           (b) 7n + 3          (c) 3n + 3           (d) 3n + 7

 

  1. Write as an algebraic expression.

Jaya is n years old. In 9 years she will be 22.

(a) 9 + 22 = n                                (b) 22 + n = 9

(c) n + 9 = 22                                (d) 22 ÷ n = 9

 

  1. Evaluate the following expression for y = 6 and b = 3.

(a) 41                  (b) 27                  (c) 40                  (d) 26

 

  1. If then the value is

(a) 23                  (b) 27                  (c) 25                  (d) 29

 

Answer Key:

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