Solve for x:
(5x – 7)/3 – (2x + 4)/5 = 6
A) 7
B) 9
C) 11
D) 5
9(2x – 3) – 4(x + 7) = 5(3x – 2) + 11
A) 4
B) 5
C) 3
D) 2
Solve:
4/(x – 2) + 3/(x + 2) = 14/(x^2 – 4)
A) x = 3
B) x = 4
C) x = 5
D) No solution
2 – 3(4x – 5) = 5x + 19
A) -6
B) -5
C) -4
D) -3
7x/4 – 5/2 = 3x/8 + 6
A) x = 4
B) x = 8
C) x = 12
D) x = 6
If 3(x – 2) + 4(2x + 5) = 5(3x + k), find k
A) -1
B) 1
C) 2
D) -2
(x – 3)(2x + 1) = (x + 4)(x – 5)
A) x = 7
B) x = 9
C) x = 11
D) x = 5
x/5 + (x – 2)/3 = (7x + 1)/15
A) x = 1
B) x = 2
C) x = 3
D) x = 4
Solve for y:
4(2y – 3) – 5(3 – y) = 7y + 19
A) y = 2
B) y = 3
C) y = 4
D) y = 1
2x – 3 = (5x + 7)/4
A) x = -1
B) x = -3
C) x = 1
D) x = 3
Solve the system:
2x + 3y = 17
4x – y = 5
A) (x, y) = (4, 3)
B) (3, 4)
C) (5, 1)
D) (2, 3)
(3x – 5)/7 + (2x + 1)/3 = (4x – 2)/5
A) x = 5
B) x = 7
C) x = 9
D) x = 11
If 5(2m – 3) – 4(m + 7) = 3(4m – 5) – 31, find m
A) m = 4
B) m = 5
C) m = 3
D) m = 2
(x + 5)/2 – (x – 3)/4 = 9
A) x = 10
B) x = 12
C) x = 14
D) x = 16
Solve the system:
7a – 4b = 18
5a + 2b = 12
A) (a, b) = (2, -1)
B) (3, 1)
C) (4, -2)
D) (1, 2)
8(x – 2) – 3(2x + 5) = x + 7
A) x = 5
B) x = 6
C) x = 7
D) x = 8
(2k – 5)/3 – (k + 4)/2 = 7/6
A) k = 5
B) k = 7
C) k = 3
D) k = 1
(4x – 5)/(x + 3) = 2 – 7/(x + 3)
A) x = 4
B) x = 5
C) x = 7
D) x = 3
If 7(p – 2) + 3(2p + 1) = 4p + t, find t
A) 8
B) 12
C) 10
D) 14
5/(x – 1) + 3/(x + 1) = 16/(x^2 – 1)
A) x = 2
B) x = 3
C) x = 4
D) No solution
A number increased by 11 becomes 38. Find the number.
A) 26
B) 27
C) 28
D) 29
Twice a number plus 5 equals 31. Find the number.
A) 10
B) 11
C) 12
D) 13
A man bought 6 pens for ₹180. Price per pen?
A) 20
B) 25
C) 30
D) 40
A number when multiplied by 7 gives 84. Find the number.
A) 10
B) 11
C) 12
D) 14
A boy spent ₹60 and has ₹140 left. How much did he have?
A) 180
B) 190
C) 200
D) 220
A number minus 13 equals 42. Find the number.
A) 53
B) 54
C) 55
D) 56
A man bought 4 shirts for equal price. Total = ₹1600. Price per shirt?
A) 300
B) 350
C) 400
D) 450
The sum of two consecutive numbers is 55. Find the smaller number.
A) 26
B) 27
C) 28
D) 29
3 times a number is 45. Find the number.
A) 10
B) 12
C) 13
D) 15
A notebook costs ₹x. 5 notebooks cost ₹125. Find x.
A) 20
B) 22
C) 24
D) 25
A number divided by 4 gives 18. Find the number.
A) 60
B) 70
C) 72
D) 74
A boy is 5 years younger than his sister. Together they are 35. Boy’s age?
A) 12
B) 13
C) 14
D) 15
A shopkeeper sells 8 kg rice for ₹320. Price per kg?
A) 30
B) 35
C) 40
D) 45
A number increased by 25 becomes 60. Find the number.
A) 30
B) 32
C) 35
D) 36
A rectangle’s perimeter is 50 m. Length is 15 m. Find breadth.
A) 5
B) 10
C) 12
D) 15
A number multiplied by 6 gives 90. Find the number.
A) 12
B) 14
C) 15
D) 16
A boy bought 3 burgers for ₹150. Price of one burger?
A) 40
B) 45
C) 50
D) 55
A man had ₹500. After spending ₹x, he has ₹280 left. Find x.
A) 200
B) 210
C) 220
D) 230
A car travels 180 km at 60 km per hour. Time taken?
A) 2
B) 2.5
C) 3
D) 3.5
A number minus 8 becomes 33. Find the number.
A) 38
B) 40
C) 41
D) 45
The sum of two numbers is 70. One is 3 times the other. Find the smaller.
A) 10
B) 12
C) 14
D) 15
A man bought 7 apples for ₹189. Price per apple?
A) 25
B) 27
C) 28
D) 30
A number increased by 19 becomes 50. Find the number.
A) 28
B) 29
C) 30
D) 31
A shopkeeper sells 12 chocolates for ₹240. Price of 1 chocolate?
A) 15
B) 18
C) 20
D) 22
A boy scored 40, 48, 52. What must he score in 4th test to get average 50?
A) 52
B) 55
C) 58
D) 60
A father is 3 times older than his son. Their total age is 48. Find son’s age.
A) 10
B) 11
C) 12
D) 14
A number divided by 5 equals 14. Find the number.
A) 60
B) 65
C) 70
D) 75
A bag contains x chocolates. After giving away 18 chocolates, 24 remain. Find x.
A) 36
B) 40
C) 42
D) 44
A number multiplied by 9 gives 108. Find the number.
A) 11
B) 12
C) 15
D) 18
A man spent one-third of his money and still has ₹160 left. How much did he have?
A) 180
B) 200
C) 240
D) 300
A number added to 18 gives 45. What is the number?
A) 23 B) 27 C) 30 D) 33
A rectangle has a perimeter of 56 cm. If its length is 18 cm, what is its breadth?
A) 10 cm B) 8 cm C) 12 cm D) 6 cm
Rita is 4 years older than her brother. Their total age is 28. What is Rita’s age?
A) 10 B) 12 C) 14 D) 16
A square has a perimeter of 48 m. What is the length of one side?
A) 10 m B) 11 m C) 12 m D) 14 m
A shopkeeper sold pens for ₹20 each and earned ₹260. How many pens did he sell?
A) 10 B) 11 C) 12 D) 13
A number minus 7 equals 21. Find the number.
A) 25 B) 26 C) 27 D) 28
The breadth of a rectangle is half of its length. If the perimeter is 60 cm, what is the length?
A) 10 cm B) 15 cm C) 20 cm D) 30 cm
Meena is twice as old as her daughter. The sum of their ages is 45. What is Meena’s age?
A) 25 B) 28 C) 30 D) 32
A number multiplied by 8 gives 96. What is the number?
A) 10 B) 12 C) 14 D) 16
The perimeter of a square is 64 cm. What is its area?
A) 256 cm² B) 324 cm² C) 144 cm² D) 196 cm²
A man earns ₹1500 per day and spends ₹300 per day. How many days will he take to save ₹6000?
A) 4 B) 5 C) 6 D) 7
The difference between two numbers is 13. Their sum is 47. What is the greater number?
A) 15 B) 20 C) 30 D) 33
A number divided by 5 gives 18. What is the number?
A) 80 B) 85 C) 90 D) 95
The length of a rectangle is 3 times its breadth. If the area is 192 cm², find the breadth.
A) 6 B) 8 C) 10 D) 12
A book costs ₹45. How many books can be bought for ₹540?
A) 10 B) 12 C) 14 D) 16
A number is 5 less than thrice another number. Their sum is 40. Find the smaller number.
A) 5 B) 7 C) 8 D) 10
Twice a number plus 9 equals 41. Find the number.
A) 12 B) 14 C) 16 D) 18
A square field has an area of 196 m². What is the length of one side?
A) 12 m B) 13 m C) 14 m D) 16 m
A father is 5 times as old as his son. After 6 years, he will be 3 times the son’s age. What is the son’s age now?
A) 4 B) 5 C) 6 D) 7
A taxi charges ₹50 fixed plus ₹12 per km. If the total fare is ₹194, how many km were traveled?
A) 10 B) 11 C) 12 D) 14