Scroll:Algebra >> Write equations to represent word problems >> mcq (3774)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

 Chellamal bought 31 packages of light bulbs. She bought 67 light bulbs in all. Which equation, when solved, will tell how many light bulbs were in each package








(                    )




2)  

Thamarai bought a box of pushpins. She put 20 pushpins on the bulletin board and had 69 left. Which equation, when solved, will tell how many pushpins were in the box








(                    )




3)  

Selvan found 47 pretty agates near a lake. Nandini found some agates as well. When they put all of their agates together, Selvan and Nandini had 68 agates. Which equation, when solved, will show how many agates Nandini found








(                    )




4)  

When Balaji divided his stamp collection evenly onto 49 pages, there were 63 stamps on each page. Which equation, when solved, will tell how many stamps are in Balaji's stamp collection








(                    )




5)  

Kalai collected 66 seashells on the beach. Then, some of the shells got caught in a wave and washed back out to sea. He has 35 seashells left. Which equation, when solved, will show how many seashells washed out to sea








(                    )




6)  

 Pavi bought 34 packages of light bulbs. She bought 60 light bulbs in all. Which equation, when solved, will tell how many light bulbs were in each package








(                    )




7)  

Parveen bought a box of pushpins. She put 30 pushpins on the bulletin board and had 64 left. Which equation, when solved, will tell how many pushpins were in the box








(                    )




8)  

Sriram found 24 pretty agates near a lake. Chellamal found some agates as well. When they put all of their agates together, Sriram and Chellamal had 70 agates. Which equation, when solved, will show how many agates Chellamal found








(                    )




9)  

When Selvan divided his stamp collection evenly onto 49 pages, there were 70 stamps on each page. Which equation, when solved, will tell how many stamps are in Selvan's stamp collection








(                    )




10)  

Aravindh collected 65 seashells on the beach. Then, some of the shells got caught in a wave and washed back out to sea. He has 39 seashells left. Which equation, when solved, will show how many seashells washed out to sea








(                    )




 

1)  

 Chellamal bought 31 packages of light bulbs. She bought 67 light bulbs in all. Which equation, when solved, will tell how many light bulbs were in each package





Answer: 2




SOLUTION 1 :

Remember:

A variable is a letter that represents an unknown number.

Solve:

You can use the variable G to represent the number of light bulbs in each package.

67 = number of light bulbs
G = number of light bulbs in each package
31 = number of packages


This is the correct equation:

(number of packages) × (number of light bulbs in each package) = number of light bulbs

31 × G = 67
 



2)  

Thamarai bought a box of pushpins. She put 20 pushpins on the bulletin board and had 69 left. Which equation, when solved, will tell how many pushpins were in the box





Answer: 2




SOLUTION 1 :

Remember:

A variable is a letter that represents an unknown number.

Solve:

 

You can use the variable W to represent the number of pushpins in the box.

 

W = number of pushpins in the box
69 = number of pushpins left
20 = number of pushpins on the bulletin board


This is the correct equation:

(number of pushpins in the box) (number of pushpins on the bulletin board) = number of pushpins left

W 20 = 69

 



3)  

Selvan found 47 pretty agates near a lake. Nandini found some agates as well. When they put all of their agates together, Selvan and Nandini had 68 agates. Which equation, when solved, will show how many agates Nandini found





Answer: 4




SOLUTION 1 :

Remember:

A variable is a letter that represents an unknown number.

Solve:

 You can use the variable a to represent the number of agates Nandini found.

 

68 = total number of agates
O = number of agates Nandini found
47 = number of agates Selvan found


This is the correct equation:

(number of agates Selvan found) + (number of agates Nandini found) = total number of agates

47 + O = 68

 



4)  

When Balaji divided his stamp collection evenly onto 49 pages, there were 63 stamps on each page. Which equation, when solved, will tell how many stamps are in Balaji's stamp collection





Answer: 4




SOLUTION 1 :

Remember:

A variable is a letter that represents an unknown number.

Solve:

 You can use the variable K to represent the total number of stamps.

 

K = total number of stamps
63 = number of stamps per page
49 = number of pages


This is the correct equation:

(total number of stamps) ÷ (number of pages) = number of stamps per page

K ÷ 49 = 63

 



5)  

Kalai collected 66 seashells on the beach. Then, some of the shells got caught in a wave and washed back out to sea. He has 35 seashells left. Which equation, when solved, will show how many seashells washed out to sea





Answer: 4




SOLUTION 1 :

Remember:

A variable is a letter that represents an unknown number.

Solve:

 

You can use the variable W to represent the number of seashells washed out to sea.

 

66 = total number of seashells
W = number of seashells washed out to sea
35 = number of seashells left


This is the correct equation:

(total number of seashells) (number of seashells washed out to sea) = number of seashells left

66W = 35

 



6)  

 Pavi bought 34 packages of light bulbs. She bought 60 light bulbs in all. Which equation, when solved, will tell how many light bulbs were in each package





Answer: 4




SOLUTION 1 :

Remember:

A variable is a letter that represents an unknown number.

Solve:

You can use the variable Y to represent the number of light bulbs in each package.

60 = number of light bulbs
Y = number of light bulbs in each package
34 = number of packages


This is the correct equation:

(number of packages) × (number of light bulbs in each package) = number of light bulbs

34 × Y = 60
 



7)  

Parveen bought a box of pushpins. She put 30 pushpins on the bulletin board and had 64 left. Which equation, when solved, will tell how many pushpins were in the box





Answer: 1




SOLUTION 1 :

Remember:

A variable is a letter that represents an unknown number.

Solve:

 

You can use the variable Q to represent the number of pushpins in the box.

 

Q = number of pushpins in the box
64 = number of pushpins left
30 = number of pushpins on the bulletin board


This is the correct equation:

(number of pushpins in the box) (number of pushpins on the bulletin board) = number of pushpins left

Q 30 = 64

 



8)  

Sriram found 24 pretty agates near a lake. Chellamal found some agates as well. When they put all of their agates together, Sriram and Chellamal had 70 agates. Which equation, when solved, will show how many agates Chellamal found





Answer: 1




SOLUTION 1 :

Remember:

A variable is a letter that represents an unknown number.

Solve:

 You can use the variable a to represent the number of agates Chellamal found.

 

70 = total number of agates
X = number of agates Chellamal found
24 = number of agates Sriram found


This is the correct equation:

(number of agates Sriram found) + (number of agates Chellamal found) = total number of agates

24 + X = 70

 



9)  

When Selvan divided his stamp collection evenly onto 49 pages, there were 70 stamps on each page. Which equation, when solved, will tell how many stamps are in Selvan's stamp collection





Answer: 3




SOLUTION 1 :

Remember:

A variable is a letter that represents an unknown number.

Solve:

 You can use the variable B to represent the total number of stamps.

 

B = total number of stamps
70 = number of stamps per page
49 = number of pages


This is the correct equation:

(total number of stamps) ÷ (number of pages) = number of stamps per page

B ÷ 49 = 70

 



10)  

Aravindh collected 65 seashells on the beach. Then, some of the shells got caught in a wave and washed back out to sea. He has 39 seashells left. Which equation, when solved, will show how many seashells washed out to sea





Answer: 4




SOLUTION 1 :

Remember:

A variable is a letter that represents an unknown number.

Solve:

 

You can use the variable K to represent the number of seashells washed out to sea.

 

65 = total number of seashells
K = number of seashells washed out to sea
39 = number of seashells left


This is the correct equation:

(total number of seashells) (number of seashells washed out to sea) = number of seashells left

65K = 39