Linear Equation
1 ) The sum of the digits of a two-digit number is 7. When the digits are reversed, the number is increased by 27. Find the number.
2 ) A passenger jet took three hours to fly 1800 miles in the direction of the jetstream. The return trip against the jetstream took four hours. What was the jet's speed in still air and the jetstream's speed?
3 ) These circles are identical. What is the value of x ?
4 ) Solve for x using these two equations: 2x + 6 = y; y - x = 2
5 ) The perimeter and the area of this shape are equal. What is the value of x?
6) Shobo’s mother’s present age is six times Shobo’s present age . Shobo’s age five years from now will be one third of his mother’s present age . What are their present ages ?
7)There is a narrow rectangular plot , reserved for a school in A Mahuli village . The length and breadth of the plot are in the ratio 11:4 . At the rate of Rs. 100 per meter it will cost the village panchayat Rs. 75000 to fence the plot . What rare the dimensions of the plot ?
8)Solve the following equations and check your results :
1 . 3x = 2x + 18
2 . 5t-3 = 3t-5
3 . 5x + 9 = 5 = 3x
4 . 4z = 3 = 6 = 2x
5 . 2x- 1 = 14 – x
9 )The organizers of an essay competition decide that a winner in the competition gets a prize of Rs. 100 and a participant who does not win get a prize of Rs. 25 . The total prize money distributed is Rs . 3000 . Find the number of winners , if the total number of participants is 63 .
10 ) The sum of three consecutive multiples of 8 is 888 . Find the multiples
2 ) A passenger jet took three hours to fly 1800 miles in the direction of the jetstream. The return trip against the jetstream took four hours. What was the jet's speed in still air and the jetstream's speed?
3 ) These circles are identical. What is the value of x ?
4 ) Solve for x using these two equations: 2x + 6 = y; y - x = 2
5 ) The perimeter and the area of this shape are equal. What is the value of x?
6) Shobo’s mother’s present age is six times Shobo’s present age . Shobo’s age five years from now will be one third of his mother’s present age . What are their present ages ?
7)There is a narrow rectangular plot , reserved for a school in A Mahuli village . The length and breadth of the plot are in the ratio 11:4 . At the rate of Rs. 100 per meter it will cost the village panchayat Rs. 75000 to fence the plot . What rare the dimensions of the plot ?
8)Solve the following equations and check your results :
1 . 3x = 2x + 18
2 . 5t-3 = 3t-5
3 . 5x + 9 = 5 = 3x
4 . 4z = 3 = 6 = 2x
5 . 2x- 1 = 14 – x
9 )The organizers of an essay competition decide that a winner in the competition gets a prize of Rs. 100 and a participant who does not win get a prize of Rs. 25 . The total prize money distributed is Rs . 3000 . Find the number of winners , if the total number of participants is 63 .
10 ) The sum of three consecutive multiples of 8 is 888 . Find the multiples