Linear Equations in One Variable

Class 8


TEST - 1

Instructions:

  • Each correct answer carries the specified marks.
  • No negative marking.
  • Show all workings clearly.
Total Marks: 40                                                                                           Max. Time: 2 hours                

Section A: Multiple Choice Questions (10 marks)

1. What is the solution of the equation 3x + 5 = 17?

   - A) x = 4                                                                                                                       - C) x = 12

   - B) x = 6                                                                                                                       - D) x = 20

2. If 2(x + 3) = 14, what is the value of x?

   - A) 4                                                                                                                              - C) 6  

   - B) 5                                                                                                                                D) 7

3. Solve for x in the equation 2x - 8 = 10.

   - A) x = 4                                                                                                                       - C) x = 9

   - B) x = 6                                                                                                                       - D) x = 11

4. - 2x = ?          

   - A) (4x - 1)(2x - 1)x                                                                                          - C) 3(2x + 5)2

   - B) ( 2x2 + 1)(2x - 1)                                                                                         - D) None of These

5. What is the solution of 3(2x - 1) = 15?

   - A) x = 2                                                                                                                       - C) x = 4

   - B) x = 3                                                                                                                       - D) x = 5

6. If 4x + 7 = 31, what is the value of x?

   - A) 6                                                                                                                              - C) 4

   - B) 5                                                                                                                              - D) 3

7. Solve for x in the equation 3(2x - 4) = 30.

   - A) x = 5                                                                                                                       - C) x = 7

   - B) x = 6                                                                                                                       - D) x = 8

8. What is the value of x in the equation (3/4)x + 5 = 11?

   - A) 8                                                                                                                              - C) 10

   - B) 9                                                                                                                              - D) 11

9. Find the value of x if 5(x - 2) = 25.

   - A) 7                                                                                                                              - C) 9

   - B) 8                                                                                                                              - D) 10

10. If (x/3) - 4 = 7, what is the value of x?

    - A) 33                                                                                                                           - B) 31

    - C) 29                                                                                                                             D) 27

    -

 

Section B: Short Answer Questions (10 marks)

 

1. Solve the equation 2x - 3 = 7.

2. Find the value of x if (3/5)(4x + 6) = 9.

3. Solve for x in 3(x - 2) = 4(x + 1).

4. If the sum of three consecutive integers is 63, what are the integers?

5. Find the value of x in (2/3)x - 5 = (1/2)(x + 6).

 

Section C: Word Problems (20 marks)

 

1. Jane is three times as old as her sister. The sum of their ages is 32. How old are Jane and her sister?

 

2. A box contains a total of 48 chocolates. If  3/4th of the chocolates are milk chocolates, how many milk chocolates are there in the box?

 

3. The sum of two numbers is 45. If one number is 9 less than twice the other, find the numbers.

 

4. A bakery sells a total of 80 pastries. If of the pastries are croissants, how many croissants

are there in the bakery?





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