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)  

 Jeevini bought 35 packages of light bulbs. She bought 69 light bulbs in all. Which equation, when solved, will tell how many light bulbs were in each package








(                    )




2)  

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 37 seashells left. Which equation, when solved, will show how many seashells washed out to sea








(                    )




3)  

Swathi bought a box of pushpins. She put 27 pushpins on the bulletin board and had 62 left. Which equation, when solved, will tell how many pushpins were in the box








(                    )




4)  

Kalai found 46 pretty agates near a lake. Amutha found some agates as well. When they put all of their agates together, Kalai and Amutha had 67 agates. Which equation, when solved, will show how many agates Amutha found








(                    )




5)  

When Selvan divided his stamp collection evenly onto 30 pages, there were 70 stamps on each page. Which equation, when solved, will tell how many stamps are in Selvan's stamp collection








(                    )




6)  

 Jeevini bought 29 packages of light bulbs. She bought 64 light bulbs in all. Which equation, when solved, will tell how many light bulbs were in each package








(                    )




7)  

Selvan collected 64 seashells on the beach. Then, some of the shells got caught in a wave and washed back out to sea. He has 42 seashells left. Which equation, when solved, will show how many seashells washed out to sea








(                    )




8)  

Selvanayaki bought a box of pushpins. She put 41 pushpins on the bulletin board and had 68 left. Which equation, when solved, will tell how many pushpins were in the box








(                    )




9)  

Raj found 20 pretty agates near a lake. Keerthi found some agates as well. When they put all of their agates together, Raj and Keerthi had 61 agates. Which equation, when solved, will show how many agates Keerthi found








(                    )




10)  

When Selvan divided his stamp collection evenly onto 29 pages, there were 67 stamps on each page. Which equation, when solved, will tell how many stamps are in Selvan's stamp collection








(                    )




 

1)  

 Jeevini bought 35 packages of light bulbs. She bought 69 light bulbs in all. Which equation, when solved, will tell how many light bulbs were in each package





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 light bulbs in each package.

69 = number of light bulbs
A = number of light bulbs in each package
35 = number of packages


This is the correct equation:

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

35 × A = 69
 



2)  

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 37 seashells left. Which equation, when solved, will show how many seashells washed out to sea





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 seashells washed out to sea.

 

65 = total number of seashells
G = number of seashells washed out to sea
37 = number of seashells left


This is the correct equation:

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

65G = 37

 



3)  

Swathi bought a box of pushpins. She put 27 pushpins on the bulletin board and had 62 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 C to represent the number of pushpins in the box.

 

C = number of pushpins in the box
62 = number of pushpins left
27 = 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

C 27 = 62

 



4)  

Kalai found 46 pretty agates near a lake. Amutha found some agates as well. When they put all of their agates together, Kalai and Amutha had 67 agates. Which equation, when solved, will show how many agates Amutha 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 Amutha found.

 

67 = total number of agates
H = number of agates Amutha found
46 = number of agates Kalai found


This is the correct equation:

(number of agates Kalai found) + (number of agates Amutha found) = total number of agates

46 + H = 67

 



5)  

When Selvan divided his stamp collection evenly onto 30 pages, there were 70 stamps on each page. Which equation, when solved, will tell how many stamps are in Selvan's stamp collection





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 total number of stamps.

 

A = total number of stamps
70 = number of stamps per page
30 = number of pages


This is the correct equation:

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

A ÷ 30 = 70

 



6)  

 Jeevini bought 29 packages of light bulbs. She bought 64 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 W to represent the number of light bulbs in each package.

64 = number of light bulbs
W = number of light bulbs in each package
29 = number of packages


This is the correct equation:

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

29 × W = 64
 



7)  

Selvan collected 64 seashells on the beach. Then, some of the shells got caught in a wave and washed back out to sea. He has 42 seashells left. Which equation, when solved, will show how many seashells washed out to sea





Answer: 3




SOLUTION 1 :

Remember:

A variable is a letter that represents an unknown number.

Solve:

 

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

 

64 = total number of seashells
J = number of seashells washed out to sea
42 = number of seashells left


This is the correct equation:

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

64J = 42

 



8)  

Selvanayaki bought a box of pushpins. She put 41 pushpins on the bulletin board and had 68 left. Which equation, when solved, will tell how many pushpins were in the box





Answer: 4




SOLUTION 1 :

Remember:

A variable is a letter that represents an unknown number.

Solve:

 

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

 

D = number of pushpins in the box
68 = number of pushpins left
41 = 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

D 41 = 68

 



9)  

Raj found 20 pretty agates near a lake. Keerthi found some agates as well. When they put all of their agates together, Raj and Keerthi had 61 agates. Which equation, when solved, will show how many agates Keerthi found





Answer: 3




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 Keerthi found.

 

61 = total number of agates
E = number of agates Keerthi found
20 = number of agates Raj found


This is the correct equation:

(number of agates Raj found) + (number of agates Keerthi found) = total number of agates

20 + E = 61

 



10)  

When Selvan divided his stamp collection evenly onto 29 pages, there were 67 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 I to represent the total number of stamps.

 

I = total number of stamps
67 = number of stamps per page
29 = number of pages


This is the correct equation:

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

I ÷ 29 = 67