# Algebra Worksheet-1

Algebra Worksheet-1

1. Which option shows like terms?

(a) 2xy , 4xy2    (b) 2yx2, 4xy     (c) 3x2y, 4x2y    (d) 5x2y, 2y2x

1. Identify like terms.

(a) 3a3b2, b6                                   (b) 3a2b3, 9a2b3

(c) 3ab3, 3a2b2                              (d) All of these

1. Collect like terms : 8y – 4 + 2 – y.

(a) 7y2 – 2         (b) 9y – 2           (c) 7y – 2           (d) 9y – 6

1. Combine like terms : 9a4b5 – 3a4b5 – 4a4b5 + a4b5

(a) 2a4b5            (b) a4b5              (c) –3b4a3          (d) 3a4b5

1. Combine like terms : 6x2 – 5x2 – 4x2

(a) –3x2             (b) 3x2                (c) 5x2                 (d) –3x5

1. Identify like terms.

(a) 5x3y5, 9x2y4, 2x3y3                (b) xy2, 4x5y5, 5x3y5

(c) xy, 9x3y4, 2x3y3                      (d) x3y5, 4x3y5, 7x3y5

1. Combine like terms. b – 3ab – 8b + 3

(a) 9b – 3ab + 3                           (b) 10b – 3ab

(c) 3 – 10b                                     (d) –7b – 3ab + 3

1. Combine like terms. 11y2x + y – 7y2x

(a) 18y2x + y     (b) 4y2x + y       (c) 5y2x               (d) 4y2x + y2

1. 3xy + 2y − xy + x – y + 2x = ?

(a) 4xy + 3x + y                            (b) 2xy + 3x + y

(c) xy + x + 3y                               (d) xy + x + y

1. The length of a rectangle is y cm. The width is 3 more than twice of the length. Find the perimeter of the rectangle.

(a) 6y2 + 6         (b) 6y2 + 3         (c) 6y + 6           (d) 4y2 + 3

1. Solve the equation. 12 = y ÷ 3

(a) 9                    (b) 4                    (c) 36                  (d)

1. Find the value of t.

(a) 4                    (b) 3                    (c) 12                  (d) 8

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

X – (–4) = –12

(a) 16                  (b) –48              (c) 3                    (d) –16

1. Jennifer is five times as old as Susan. In seven years, Jennifer will be only three times as old as Susan. How old are Jennifer and Susan now?

(a) Susan is 9 yrs old, and Jennifer is 27 yrs old.

(b) Jennifer is 7 yrs old, and Susan is 35 yrs old.

(c) Susan is 7 yrs old, and Jennifer is 35 yrs old.

(d) Susan is 5 yrs old, and Jennifer is 20 yrs old.

1. Solve: 3(y – 2) = –5 – 2(y + 8)

(a) y = 5.4         (b) y = –3          (c) y = 6             (d) y = –3

1. Rohit’s age  is 3 year less than twice the age of Mohit. Which of these expressions could be used to calculate Rohit's age if Mohit’s age is represented by m.

(a) m – 3           (b) 2m + 3         (c) 2m – 3         (d) 3m – 2

1. Simplify: 5(2b – 4) + (–4b + 2)

(a) 14b – 18       (b) 6b – 18        (c) 6b + 22        (d) 6b + 18

1. Which expression represent the following. 2y + 2

(a) two more than twice a number

(b) two more than a number squared

(c) a number squared more than two

(d) the sum of two numbers multiplied by three

1. Determine the value of ab2 + 2y, if a = 1.25, b = 1.2 and y = 8.5.

(a) 10.3              (b) 1.8                 (c) 17                   (d) 18.8

1. The cost of one tent is Rs. 1700. Mrs. Anuradha purchased n number of tents and paid 4% sale-tax on her total purchase. Which equation that can be used to find c, the total amount she paid for her purchase?

(a) c = 1700n + 68 n                    (b) c = 1700 + 1700 n

(c) c = 6800 + 4 n                        (d) c = 1700n + 68

Answer Key:

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