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Class 8 Algebra: Forming and Solving Equations Questions and Answers
What is the value of x in the equation x+3(x+3) =23?
A.
8
1
2
B. 8
C.
3
1
2
D. 5
(3m 12s)
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1.
For every Orange Kiptoo gets, Onyango gets twice as many while Dinka gets four less than Onyango. Ninety six oranges were given to them. How many did Dinka get? A. 36 B. 40 C. 28 D. 20
2.
In a kiosk, a pen costs twice as much as a pencil and exercise book costs three times as much as the pen. Amina bought 2 pens for sh4. She also bought 2 pencils and 3 exercise books. How much did she pay altogether? A. Sh 24 B. Sh 15 C. Sh 18 D. Sh 20
3.
The length of the base of a triangle is (4x+6) cm. The height is 5 cm. If the area of the triangle is 40 cm2, what is the actual length of the base? A.
2
1
2
cm B. 8 cm C. 10 cm D. 16 cm
4.
Three cars, two matatus and a bus were used to transport pupils to an agricultural show. Each car transported 5 pupils. Each matatu transported five times as many pupils as one car. The bus transported three times as many pupils as one matatu. What was the total number of pupils transported to the show? A. 215 B. 105 C. 115 D. 140
5.
Saadia bought 3 books and 2 pens. The cost of a book was half that of a pen. He paid a total of sh. 45.50. What was the cost of the pen? A. Sh.13.00 B. Sh. 6.50 C. Sh.9.10 D. Sh.18.20
6.
At a sports meeting the number of women was 100. The number of boys was three times that of women and 80 more than that of men. The number of girls was 20 more than that of men. What was the total number of people at the meeting? A. 460 B. 500 C. 860 D. 1100
7.
Mother spent sh 15 to buy an exercise book, a pencil and a ruler. The cost of a pencil was
1
3
the cost of an exercise book. The cost of a ruler was sh 1.00 more than the cost of an exercise book. How much did the pencil cost? A. Sh 2 B. Sh 5 C. Sh 6 D. Sh 7
8.
Akinyi has y bananas. This is three times as many bananas as Waithera has. They have 36 bananas altogether. Which of the following equations correctly represents the information given? A. 3y + y =36 B.
y
+
y
3
C. y+y+3=36 D. y+
y
3
=36
9.
Omolo, Kiprono and Kaman picked mangoes for sale. Omolo picked 150 mangoes, Kiprono picked half as many as Omolo while Kaman picked 100 less than what both Omolo and Kiprono picked. If the mangoes were sold at fifty cents each, how much money did the three boys get altogether? A. Sh 400.00 B. Sh 175.00 C. Sh 162.50 D. Sh 137.50
10.
A fundraising function was attended by men, women and children. There were 500 men and twice as many women. A total of sh 37500 was raised. If each man contributed sh 20 and each women sh 15, what was the amount contributed by the children? A. Sh 15000 B. Sh 12500 C. Sh 25000 D. Sh 23750
11.
What is the size of angle XZY in the triangle below? A.
28
0
B.
44
0
C.
36
0
D.
40
0
12.
A certain meeting was attended by 1835 people. The number of men was twice that of children and 15 less than that of women. How many women attended the meeting? A. 713 B. 755 C. 728 D. 743
13.
The cost of a GHC book was sh x while that of Kiswahili was sh 5 less. A mathematics book cost a quarter of the total cost of GHC and Kiswahili books. Limara spent spent sh 300 to buy the three books.which one of the following equations correctly represents the information given?
14.
Mumo is two years older than Temu and three years younger than Ndeti. The sum of their ages is 64 years. If Mumo’s age is m, which one of the equations below can be used to find Mumo’s age? A. 3m+1=64 B. 3m-1=64 C. 3m-5=64 D. 3m+5=64
15.
Three boys contribute some money to buy a text book. Onyango contributed one quarter, Rono one third and Njoroge one sixth of the price. They then found that sh 90 was still needed in order to buy the book. What was the price of the book? A. Sh 120 B. Sh 210 C. Sh 270 D. Sh 360
16.
The number of children in a town is twice that of women. There are 320 more women than men. If there are 4360 children, how many men are there in the town? A. 1860 B. 2180 C. 2500 D. 8400
17.
At a rally, the number of men was three times that of women. The children were 357 fewer than women. There were 863 children. How many more men than women attended the rally? A. 1220 B. 2440 C. 3660 D. 4880
18.
A factory hires men and women workers every week. It hires 5 times as many men as women. Each worker is paid sh. 450 per week. How much money altogether were the workers paid in the week that 51 women were hired? A. 22950 B. 25200 C. 114750 D. 137700
19.
Otieno had sh. 4 more than Njuguna. Njuguna had sh y and Juma had one third of what Otieno had. They had a total of sh. 100. Which of the following equations correctly represents the information given? A.
2
1
3
y+
4
4
3
=100 B. 7y-16=300 C. 7y+12=300 D. 3y+16=300
20.
During a celebration, there were 90 men present. They were 50 more women than men and twice as many children as a adults. What was the total attendance? A. 260 B. 420 C. 460 D. 690
21.
The length of a rectangle is (2x+8) cm and the width is (x-2) cm. if the perimeter is 84 cm. what is the value of the length? A. 12 cm B. 32 cm C. 40 cm D. 60 cm
22.
Njeri scored a total of 171 marks in mathematics, Kiswahili and English tests. The score in mathematics was twice that of Kiswahili and that of English was three marks more than that of Kiswahili. If the score for English was x, which one of the equations below should be used to find the value of x? A. 4x-9=171 B. 4x+3=171 C. 4x-6=171 D. 4x+9=171
23.
Three factories Buka, Sakono and Rama produce sugar in one hundred kilogramme bags daily. Buka produces three times as much as Rama. Sakono produced two times as much as Rama. If Sakono produces 500 bags, how many tones altogether do the three factories produce daily? A. 50 B. 75 C. 150 D. 300
24.
In a function, the number of women was twice that of men. The number of children was half the total number of men and women. The function was attended by 270 people. How many children attended the function? A. 90 B. 120 C. 180 D. 60
25.
The length of a rectangle is represented by the expression (2x+8) cm and its width by the expression (x-6) cm. If the perimeter is 58 cm, what is the actual length of the rectangle? A. 3 cm B. 9 cm C. 26 cm D.
45
1
3
cm
26.
Three pupils Furaha, Gitahi and Komen contributed a total of sh 400 for a party. Furaha contributed sh 30 more than Gitahi while, Komen contributed three times as much as Furaha. If Komen contributed sh x, which one of the equation below can be used to find Komen’s contribution? A. 5x-90=1200 B.
1
2
3
x-30=400 C. 5x+90=1200 D. 7x-30=400
27.
In a triangle below EFG line EF=EG, angle EFG=
4
x
0
and angle EGH=
5
x
0
. What is the value of angle FEG? A.
20
0
B.
80
0
C.
100
0
D.
120
0
28.
Sara bought pawpaws , oranges and mangoes. The number of pawpaws bought was 8 more than the number of oranges. The number of mangoes was twice the total number of oranges and pawpaws. The total number of fruits bought was 48. If the number of oranges was x, which of the following equations below can be used to find the number of oranges bought? A. 3x+24=48 B. 6x+16=48 C. 6x+24=48 D. 4x+16=48
29.
Four children bought 53 oranges altogether. Nekoye bought x oranges and Kamau bought 9 oranges more than Nekoye. Fatuma bought twice as many oranges as Nekoye. Atieno bought as many oranges as both Kamau and Fatuma bought . Which one of the following equations can be used to find the number of oranges Nekoye bought? A. 5x+22=53 B. 5x+18=53 C. 7x+9=53 D. 7x+18=53
30.
A youth group organized a film show to raise funds. Two hundred and eighty men attended the film show. The number of women who attended was half the number of men, while the number of youths was three times the number of both men and women. The charges were sh 50 per adult and sh 20 per youth. How much money was raised? A. Sh 46200 B. Sh 37800 C. Sh 25200 D. Sh 21000
31.
The number of women passengers in a bus was w. The number of children in a bus was three times that of men passengers but was 6 more than that of women. Which one of the following expression shows the total number of passengers in the bus? A.
2
1
3
w+8 B.
2
1
3
-8 C.
2
1
3
+12 D. 5w+24
32.
Kamau, Wasike and Omollo sell newspapers. One day Omollo sold 20 newspapers more than Wasike who sold 10 newspapers more than Kamau. The total number of newspapers they sold that day was 140. If Wasike sold y newspapers, which one of the following equations can be used to find the number of newspapers sold by Wasike? A. 3y+10=140 B. 3y+30=140 C. 3y+20=140 D. y+30=140
33.
There were m men in a bus. The number of children in the bus was three times that of men but eleven more than that of women. The total number of women, men and children in the bus was 45. Which one of the equations below can be used to find the number of men that were in the bus? A. 5m-11=45 B. 4m+11=45 C. 7m+11=45 D. 7m -11=45
34.
Ahmed earns sh. 560,500 per year. Oloo earns three times as much as Alice. Alice earns twice as much as Ahmed. How much money, altogether do they all earn in a year? A. Sh. 1121000 B. Sh.3363000 C. Sh.4484000 D. Sh.5044500
35.
Mwende had mangoes. She ate 5 and shared the remaining among her 6 friends. She however found that she needed 2 more mangoes if each of the friends was to get 4 mangoes. How many mangoes had she at the beginning? A. 22 B. 27 C. 29 D. 31
36.
Pupils in classes 5,6,7 and 8 were to raise funds for a party. Class 7 raised sh. X while class 5 raised
1
3
of what class 7 raised. Class 6 raised sh. 100 less than the total amount raised by both class 5 and 7. Class 8 raised sh.200 more than class 7. If the total amount raised was sh. 6900, which one of the following equations can be used to find the amount raised by each class?
37.
At a sports meeting the number of men was 200. The number of girls was three times that of men and 120 more than that of women. The number of boys was 30 more than that of girls. What was the total number of people at the meeting? A. 719 B. 1850 C. 1910 D. 2150
38.
The perimeter of a rectangle is 24 cm. The length of the rectangle is 2 cm more than the width. What is the area of the rectangle? A.
15
c
m
2
B.
20
c
m
2
C.
35
c
m
2
D.
143
c
m
2
39.
A football match was attended by 42000 men. The number of women who attended was 27000 less than the number of men and 12000 more than the number of children. The entrance fee for adults was sh. 100 and for children was sh. 50. How much money was collected altogether? A. Sh.11700000 B. Sh.7500000 C. Sh.7050000 D. Sh. 5850000
40.
Muli obtain a total score of 180 marks in English, Mathematics and Science. His score in English was half the score obtained in Mathematics. The score in mathematics was 10 more than the score obtained in science. If the score obtained in science is represented by x, which one of the equations below can be used to get the value of x?
41.
What is the value of x in the equation x+3(x+3) =23? A.
8
1
2
B. 8 C.
3
1
2
D. 5
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