Rewrite as an algebraic equation(21A)
Summarise the information as an equation(real life example)[21A]
Solve problems presented in sentence form(21B)
Misc. Problems(21E)
Mixed Questions
100

I think of a number and add 2 to it. The result is 16.

x+2=16

100

Ahmed has x sons and 4 daughters. He has 6 children in total.

x+4=6

100

When a number is doubled, the result is 20. Find the number.

2x=20

x=10

100

Seraj bought 4  packets of nails from a hardware store. He used 10 nails to fix his gate, and put the remaining 50 nails in his toolbox. How many nails were there in each packet.

x-10=50

x=60

100

Rewrite as an algebraic equation. I think of a number, divide it by 4, then add the original number to the result. The final result is 20.

x/4+x=20

2x=80

x=40

200

I think of a number and divide it by 7. The result is 4.

x/7=4

200

Omar took x minutes to walk to the shops and the same amount of time to walk back. He spent 11 minutes at the shops, and the trip took 39 minutes in total.

2x+11=39

200

I think of a number, treble it, then subtract 8. The result is -5. Find the original number.

3x-8=-5

3x=3

x=1

200

One number is three times as large as another, and a third number is 13 less than the smaller one. The sum of the three numbers 42. Find the largest number.

y=3x

z=y-13

x+y+z=42

x+3x+3x-13=42

7x-13=42

7x=55

x=55/7

200

Rewrite as an algebraic equation. I think of a number, multily it by 5, then subtract 8. The result is 4 more than the original number.

5x-8=x+4

4x=12

x=3

300

I think of a number and add 6 to it, then divide it by 9. The result is 3.

(x+6)/9=3

300

Mohammed has mass x kg. Hayder is 6kg heavier than Mohammed. Their combined mass is 100kg.

2x+6=100

300

When 2 is subtracted from a number and the result is divided by 4, the final result is 8. What was the original number?

(x-2)/4=8

x-2=32

x=30

300

I am thinking of two numbers. One of the is 5 more than the other, and their sum is 53. What are the numbers.

x=5y 

x+y=53

x+(x+5)=53

2x+5=53

2x=48

x=24

300

A market stall has 13 bags of potatoes, and 11 lose potatoes on display. In total there are 141 potatoes at the stall. How many potatoes are in each bag?

x+11=141

x=130

400

I think of a number, divide it by 3, then add the original number to the result. The final result is 20.

x/3+x=20

400

Sarah has SARx in her bank account. Depositing SAR100 into her account would triple the amount of money in the account.

x+100=3x

400

When 5 is added to a number and the result is doubled, the final result is 8 more than the original number. What is the orignal number

x+5=x+8

2x=13

x=13/2

400

A Russian Blue ktten costs $150 more than a Manx kitten. 9 Russian Blue kittens and 8 Manx kittens cost $14,100 in total. Find the cost of a Russian Blue kitten.

x=y+150

9x+8(y+150)=14,100

9x+8y+1,200=14,100

9x+8y=12,900

x+y=179.1 

x=+179.1-y

400

Leanne cuts some roses in her front garden, and another 20 roses in her back garden. She uses one quarter of her roses to make bouquet of a dozen flowers. How many roses did Leanne cut in her front garden.

(x+20)/4=12

x+20=48

x=28

500

I think of a number, multiply it by 7, then subtract 6. The result is 5 more that the origanl number.

x xx7-6=x+5

500

Hatim is x years old. She is presently three times her brother's age. Four years from now, she will be twice her brother's age.

x+4=2(y+4)

500

When a number is halved and then 7 is added, the result is 4 more than the original number. Find the original number.

x/2+7=x+4

2x/2=-3

x=-3

500

A television costs $200 more than a digital radio. Together, they cost $378. Find the cost of the television.

x=y+200

x+y=378

2y+200=378

2y=178

y=89

500

Class A has 33 students and class B had 21 students. A number of students were moved from calss A to class B so the classes now have the same number of students. How many students were moved?

33-x=21+x

2x=12

x=6

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