Algebra Worksheet-1

Algebra Worksheet-1

1. Which expression is equivalent to y⁴y³?

(a) y⁴y⁴               (b) y⁵y²               (c) y⁶y²                          (d) y²y²

2. Simplify: 5(1 – 3y)

(a) 1 – 15y          (b) 5 – 3y           (c) 5 – 15y          (d) 5 – 8y

3. The length of a rectangle is y + 1 and the width is y. If the perimeter is 50 centimeters, what is the value of y?

(a) 8 cm             (b) 48 cm          (c) 18 cm           (d) 12 cm

4. Simplify: (3y) × (2y)

(a) 4y                  (b) 6y²                (c) y²                   (d) 5y²

5. Find the value of y.

y – 5 = 7

(a) 12                  (b) 2                    (c) 4                    (d) 3

6. Which expression is equivalent to 3y (y + 6)?

(a) 4y + 18         (b) 3y² + 18       (c) 3y² + 9         (d) 3y² + 18y

7. What is y, if 6y = 78?

(a) 72                  (b) 12                  (c) 13                  (d) 16

8. Find the value of b

3b – 12 = –18

(a) 10                  (b) –6                 (c) –10               (d) –2

9. Find the value of x.

9x + 60 = 11x

(a) 30                 (b) 3                    (c) 20                  (d) 6

10. The price of a camera is p Rs. The camera is on sale for 20% off. Which expression below will calculate the amount of the discount being offered on the camera?

(a) 20p               (b) p – 2p          (c) p – 0.2p       (d) 0.2p

Answer Key:

1. (b)
2. (c)
3. (d)
4. (b)
5. (a)
6. (d)
7. (c)
8. (d)
9. (a)
10. (d)

Algebra Worksheets-2

1. Number of variables in a simple linear equation

(a) two                (b) one                (c) 0                    (d) none

2. Power of variable in a simple equation

(a) 0                    (b) one                (c) two                (d) none

3. Number of sides on either side of equation in simple equation is

(a) three             (b) two               (c) 0                    (d) none

4. The equation for the statement: ‘half of a number added to 10 is 15’.

(a)                               (b)

(c)                            (d)

5. Equation for the statement: ‘thrice the length of a room is 340 metres’.

(a) 3l = 430                                   (b) 3l  = 340

(c) 3 + l = 340                               (d) none

6. The method of finding solution by trying out various values for the variable is called

(a) error method                          (b) trial and error method

(c) testing method                        (d) checking method

7. Value of x in

(a) +28               (b) –28              (c) +14                (d) –14

8. Number to be added on LHS equation to find the value of ‘y’ is (elimination method)

y – 8 = 6.

(a) –8                 (b) +8                 (c) 0                    (d) –6

9. To get the value of p .............. is to be multiplied on either side of equation (method of elimination).

(a) –4                 (b) 4                    (c) 1                     (d) 0

10. To get the value of ‘a’, .............. to be divided on either side of equation 6a = 30 (elimination method).

(a) –6                 (b) +30              (c) +6                 (d) 0

Answer Key:

1. (b)
2. (b)
3. (b)
4. (b)
5. (b)
6. (b)
7. (c)
8. (b)
9. (b)
10. (c)

Algebra Worksheets-3

1. In value of x is

(a) –12               (b) +36               (c) +12                (d) –36

2. In 6(2a – 1) + 8 = 14, the value of ‘a’ is

(a) –1                  (b)               (c)                (d) + 1

3. 6x – 1 = 2x + 9 value of x

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

4. If six times a number is 48 then the number is

(a) –8                 (b) 1                    (c) 48                  (d) 8

5. Ramu’s father is thrice as old as Ramu. If father’s age is 45 years then Ramu’s age is:

(a) 45 yrs           (b) 30 yrs           (c) 15 yrs            (d) 10 yrs

6. A number is multiplied by 6 and 12 is added to the product. The result is 84. Then the number is

(a) –12               (b) 72                  (c) +12                (d) –72

7. The length of side of an equilateral triangular garden whose perimeter is 66 m is

(a) 66 m             (b) 11 m              (c) 3 m               (d) 22 m

8. In the given figure magnitude of angles shown are

(a) 40º, 135º                                 (b) 45º, 130º

(c) 45º, 135º                                  (d) 180º

9. The length of a rectangle is 12 m and its area is 72 m. Then the breadth equals to

(a) 72 m             (b) 60 m            (c) 6 m               (d) 9 m

10. Ages of two friends are in the ratio 2 : 1. If the sum of their ages is 51 then their ages are

(a) 34 yrs, 20 yrs                          (b) 34 yrs, 17 yrs

(c) 20 yrs, 10 yrs                           (d) 30 yrs, 15 yrs

Answer Key:

1. (c)
2. (d)
3. (d)
4. (d)
5. (c)
6. (c)
7. (d)
8. (c)
9. (c)
10. (b)

Algebra Worksheets-4

1. In  the value of a is

(a) 122                (b) –16               (c) 16                  (d) 0

2. If a = b then ax = .............

(a) b + x             (b) bx                  (c) b – x              (d) b ÷ x

3. If a = b then a + x =..............

(a) b + x             (b) bx                  (c) b – x             (d) b ÷ x

4. If p = q then px = ...............

(a) q                    (b) qx                  (c) q + x             (d) 0

5. In  the value of p is

(a) –9                 (b) +6                 (c) +9                 (d) 0

6. In a piggy bank the number of 25 paise coins are five times the number of 50 paise coins. If there are 120 coins find the amount in the bank?

(a) Rs. 25           (b) Rs. 10           (c) Rs. 35           (d) Rs. 40

7. Half of a number is added to 18 then the sum is 46. The number is

(a) 92                  (b) 56                  (c) 65                  (d) 0

8. The algebraic expression for the statement: ‘Product of x and a subtracted from the product of b and y’.

(a) ax – by         (b) x + a – by    (c) by – ax         (d) xa – b – y

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

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

10. ‘6 less than ten times a’ is written as

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

Answer Key:

1. (c)
2. (b)
3. (a)
4. (b)
5. (c)
6. (c)
7. (b)
8. (c)
9. (c)
10. (b)