A box has x marbles. After giving away 11, 4 marbles remain. Which equation correctly represents the situation?

  • x – 11 = 4
  • x + 11 = 4
  • x/11 = 4
  • 11x = 4
  • x - 11 = 4


Rina has x pencils and buys 7 more. Now she has 21 pencils. Which equation correctly represents the situation?

  • 7x = 21
  • x + 7 = 28
  • x + 7 = 21
  • x – 7 = 21
  • x + 7 = 21

A bus fare is 8 taka per student. For x students, the total fare is 104 taka. Which equation correctly represents the situation?

  • x/8 = 104
  • 8x = 104
  • x – 8 = 104
  • x + 8 = 104
  • 8x = 104

Sam’s age is x. His brother is 3 years older and is 15 years old. Which equation correctly represents the situation?

  • x – 3 = 15
  • x + 3 = 15
  • x + 3 = 18
  • 3x = 15
  • x + 3 = 15

A number x is divided equally among 5 students. Each student gets 11. Which equation correctly represents the situation?

  • x + 5 = 11
  • 5x = 11
  • x/5 = 11
  • x – 5 = 11
  • x/5 = 11

Each packet has 4 stickers. There are x packets and 40 stickers altogether. Which equation correctly represents the situation?

  • x – 4 = 40
  • x + 4 = 40
  • 4x = 40
  • x/4 = 40
  • 4x = 40

A box has x marbles. After giving away 4, 5 marbles remain. Which equation correctly represents the situation?

  • 4x = 5
  • x – 4 = 5
  • x/4 = 5
  • x + 4 = 5
  • x - 4 = 5

Rina has x pencils and buys 11 more. Now she has 19 pencils. Which equation correctly represents the situation?

  • x + 11 = 30
  • x – 11 = 19
  • x + 11 = 19
  • 11x = 19
  • x + 11 = 19

A bus fare is 12 taka per student. For x students, the total fare is 84 taka. Which equation correctly represents the situation?

  • 12x = 84
  • x/12 = 84
  • x – 12 = 84
  • x + 12 = 84
  • 12x = 84


Sam’s age is x. His brother is 5 years older and is 11 years old. Which equation correctly represents the situation?

  • 5x = 11
  • x – 5 = 11
  • x + 5 = 11
  • x + 5 = 16
  • x + 5 = 11

A number x is divided equally among 8 students. Each student gets 16. Which equation correctly represents the situation?

  • 8x = 16
  • x + 8 = 16
  • x – 8 = 16
  • x/8 = 16
  • x/8 = 16

Each packet has 6 stickers. There are x packets and 90 stickers altogether. Which equation correctly represents the situation?

  • 6x = 90
  • x/6 = 90
  • x + 6 = 90
  • x – 6 = 90
  • 6x = 90

A box has x marbles. After giving away 6, 8 marbles remain. Which equation correctly represents the situation?

  • 6x = 8
  • x – 6 = 8
  • x + 6 = 8
  • x/6 = 8
  • x - 6 = 8

For f(x)=log(x – 1) + 1/(x + 5), which conditions must be satisfied? Select all correct options.

  • x ≥ 1
  • x = 1
  • x < 1
  • x ≠ -5
  • x = -5
  • x > 1
  • x ≠ -5
  • x > 1

For f(x)=log(x – 8) + 1/(x + 3), which conditions must be satisfied? Select all correct options.

  • x < 8
  • x > 8
  • x = -3
  • x = 8
  • x ≥ 8
  • x ≠ -3
  • x > 8
  • x ≠ -3

For f(x)=log(x – 8) + 1/(x + 5), which conditions must be satisfied? Select all correct options.

  • x > 8
  • x = -5
  • x < 8
  • x ≥ 8
  • x = 8
  • x ≠ -5
  • x > 8
  • x ≠ -5

For f(x)=log(x – 8) + 1/(x + 8), which conditions must be satisfied? Select all correct options.

  • x ≥ 8
  • x = 8
  • x > 8
  • x = -8
  • x ≠ -8
  • x < 8
  • x > 8
  • x ≠ -8

For f(x)=log(x – 7) + 1/(x + 7), which conditions must be satisfied? Select all correct options.

  • x = -7
  • x ≥ 7
  • x ≠ -7
  • x > 7
  • x = 7
  • x < 7
  • x ≠ -7
  • x > 7


For f(x)=log(x – 1) + 1/(x + 1), which conditions must be satisfied? Select all correct options.

  • x > 1
  • x = 1
  • x = -1
  • x ≥ 1
  • x ≠ -1
  • x < 1
  • x > 1
  • x ≠ -1

For f(x)=log(x – 5) + 1/(x + 4), which conditions must be satisfied? Select all correct options.

  • x > 5
  • x < 5
  • x ≠ -4
  • x ≥ 5
  • x = 5
  • x = -4
  • x > 5
  • x ≠ -4

For f(x)=log(x – 7) + 1/(x + 8), which conditions must be satisfied? Select all correct options.

  • x < 7
  • x = 7
  • x = -8
  • x > 7
  • x ≥ 7
  • x ≠ -8
  • x > 7
  • x ≠ -8

For f(x)=log(x – 8) + 1/(x + 8), which conditions must be satisfied? Select all correct options.

  • x ≠ -8
  • x ≥ 8
  • x < 8
  • x = -8
  • x > 8
  • x = 8
  • x ≠ -8
  • x > 8