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Grade 5 Algebra Online Lessons: Questions and Answers
Solve the equations:
(a) 4x=12
(b) 9p=27
(c) 7x=28
(d) ¼z=3
(e) 𝑟6⁄=3
(f) 18⁄q=2
(4m 4s)
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1.
Ndunda bought x mangoes. He ate 3 of the mangoes. He was left with 11 mangoes. Form an equation to represent this information.
2.
Nafula had Sh x in her bag. Khahi had Sh 30. They had a total of Sh 70. Write an equation to represent the information.
3.
There were y eggs in a basket. Kimuli used 4 eggs to make a cake. There were 8 eggs remaining in the basket. Form an equation to show this information.
4.
Serah had some money in her bag. Her mother gave her Sh 100. She had Sh 350 altogether. Write an equation to represent this information.
5.
Mukundi had c goats. Kahua had 8 goats. They had 40 goats altogether. Form an equation on the total number of goats.
6.
There was some water in a drum. Waiku used 25 litres of the water. There were 50 litres remaining in the drum. Write an equation to represent this information.
7.
There were m people in a security meeting. Five more people came in for the meeting. There were 105 people altogether. Form an equation to show this information.
8.
Eight pupils were given r exercise books each. If they were given a total of 40 exercise books, form an equation.
9.
A charitable organization donated t water tanks to 12 welfare groups. Each group received 5 tanks. Form an equation to represent this information.
10.
There were some mangoes in a basket. The mangoes were shared equally among 3 children. Each child got 4 mangoes. Write an equation to represent this information.
11.
Murei had x balls. The balls were shared equally among 7 football clubs. Each club received 4 balls. Form an equation to represent this information.
12.
World Health Organisation donated p medical machines to 6 counties. Each county got 5 machines. Write an equation to represent the information.
13.
There were x pupils in a class. Each pupil got 3 books. The pupils were given a total of 60 books. Write an equation to represent this information.
14.
I think of a number x. I multiply the number by 9. The answer is 108. Form an equation.
15.
Kanini had x containers of milk. Each container held 5 litres of milk. The total amount of milk in the containers was 50 litres. Write an equation to represent this information.
16.
In a class there are 27 pupils. The number of girls is two times that of boys. Form an equation to represent this information.
17.
There are 21 fruits in a basket. The number of oranges is twice that of mangoes. Form an equation to represent this information.
18.
The price of a book and a pencil is Sh 120. The price of the book is thrice the price of the pencil. Form an equation to represent this information.
19.
Bekele and Mwendwa shared Sh 400. Bekele got three times of what Mwendwa got. Write an equation to represent this information.
20.
I think a number P. Multiply the number by 6, the answer will be 48. Form an equation to represent this information.
21.
In a book shelf are 36 exercise books. The number of squared exercise books is three times the number of ruled exercise books. Form an equation to represent this information.
22.
Solve the equations: (a) X+7=18 (b) y-4=8 (c) x+6=10 (d) x-8=13
23.
Solve the equations:(a) X+2=8(b) Y+4=10(c) p+6=18(d) b+10=32
24.
Solve the equations:(a) X-6=12(b) y-10=25(c) R-12=38(d) p-40=5
25.
Nkoroi had some money. His mother gave him Sh 50 more. He had a total of Sh 90. Form an equation and find the value of x.
26.
Sadia had p mangoes in her basket. She bought 9 more mangoes. She had a total of 16 mangoes. Find the value of p.
27.
Kalili had b cows. He sold 5 of the cows. He was left with 35 cows. Find the value of x.
28.
Gacega had p bags of rice. She donated 10 bags to a children home. She was left with 35 bags. Find the value of p.
29.
Sankole had x litres of milk. He bought eight more litres of milk. He had a total of 38 litres. Find the value of x.
30.
Solve the following equations:(a) Think of a number. Multiply the number by 2.The answer is 8. Find the number. (b) Think of a number. Divide the number by 6.The answer is 12.Find the number.
31.
Solve the equations:(a) 3x=9(b) 5y=25(c) 3w=63(d) ?y=3(e) ½b=9(f) 15/ p=4
32.
Solve the equations: (a) 4x=12(b) 9p=27(c) 7x=28(d) ¼z=3(e) ??6/=3(f) 18/q=2
33.
Find the value of the unknown in each of the following:(a) 15y=105(b) 8r=128(c)24z=360
34.
Muli is x years old. His father is three times as old as Muli. If the father is 72 years old, find the age of Muli.
35.
Job shared some fruits equally among 4 children. Each child got 3 fruits. How many fruits did Job share?
36.
The price of a pen was Sh P. Juliana bought 8 such pens. She paid Sh 320 for the pens. What was the price of one pen?
37.
A charitable organization had x bags of rice. The rice was shared equally among 16 families. Each family received 4 bags of the rice. How many bags of rice did the charity organization have?
38.
Solve the equations:(a) 2x+1=7(b) 3y-4=11(c) 15/p+1=3
39.
Solve the equations:(a) 2x+5=11(b) 4x+1=13
40.
Find the value of the un known.(a) 3y-4=17(b) 4y-3=21
41.
Solve the equations:(a) 7y+5=47(b) 8w-6=26(c) 9p+10=91
42.
Mulima had x trays of eggs in his shop. Each tray had 30 eggs. He sold 100 eggs. He was left with 20 eggs. How many trays of eggs did he have?
43.
Omari had 3 pawpaws more than Sabina. They had 13 pawpaws altogether. How many pawpaws did Sabina have?
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