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Word Problems Involving Equations

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9.2Word Problems Involving Equations

Word Problems Involving Equations Revision Questions

1. . $240 are distributed equally among siblings where each of them receives $60. What is the equation used to calculate the number of siblings?

  1. 4x = 240
  2. 240/x = 60
  3. 240 - 60 = x
  4. 60 - x = 240

Correct Answer: B

2. . Three friends ate the same number of berries and at the end, 21 berries were left on the plate. What is the equation describing this situation?

  1. 3x + 21 = 0
  2. 3x - 21 = 0
  3. 3 + 21x = 0
  4. 3x = 21

Correct Answer: B

3. . The father is now 32 years old and his son and after four years, he will be 6 times older than his son. What is the equation used to calculate the actual age of the son?

  1. 32 = 6x + 4
  2. 6x + 4 = 32
  3. 6 · (x + 4) = 32 + 4
  4. 6x = 36 - 4

Correct Answer: C

4. . Two workers can paint the same number of houses in a month. If initially there were 41 houses to paint and after two months only 13 houses are still left unpainted, what is the number of houses each worker can paint in a month?

  1. 7
  2. 14
  3. 16
  4. 28

Correct Answer: A

5. . The perimeter of a square is 64 cm and it is 8 cm less than the perimeter of a rectangle, the length of which is 6 cm more than the square's side. What is the width of the rectangle?

  1. 15 cm
  2. 16 cm
  3. 21 cm
  4. 22 cm

Correct Answer: A

6. . The male vs female ratio in the staff of a company is M:F = 3:5. If the company has 56 employees in total, what is the number of female employees?

  1. 8
  2. 21
  3. 28
  4. 35

Correct Answer: D

7. . The output values of a data set in a database system relate to the input values through the equation

2x - 3y - 9 = 0

where the variable x represents the input values while y gives the output ones. What output value will appear on the screen if the user inserts 18 as input?

  1. 9
  2. 15
  3. 31.5
  4. 45

Correct Answer: A

8. . What sentence below describes the equation 3x - 5 = 16

  1. Three friends bought some cola cans for a picnic and after having consumed 5 cola cans they still have 16 cans left in the bag.
  2. Some friends decided to consume 3 cola cans per person when going to a picnic. However, they became thirsty and after having consumed 5 cola cans per person, they still have 16 cans left in the bag.
  3. Three friends bought 16 cola cans to consume in a picnic. They consumed 5 cola cans in total and the rest of cans are still in the bag.
  4. Three friends bought 21 cola cans to consume in a picnic. They consumed 5 cola cans per person and as a result, 16 cans are still in the bag.

Correct Answer: A

9. . Which of the following scenarios is NOT related to the equation

11 - 3x = 5
  1. A snail was on a wall 11 cm above the ground and after moving down for 3 minutes, it went 5 cm above the ground.
  2. A girl had 11 pages to read and after reading 3 pages per hour, now she has 5 more pages to read.
  3. 11 days ago, I had 5 flowers but now, I don't have them anymore because they decayed at a rate of 3 flowers per day.
  4. A few days ago, I started eating the chocolates my parents bought for my birthday. I eat 3 chocolates per day and from 11 chocolates that were initially, now I have 5 more to eat.

Correct Answer: C

10. . Two friends, Alice and Brenda share $120 among them at a rate A:B = 3:5. How much money does Alice have?

  1. $8
  2. $45
  3. $64
  4. $75

Correct Answer: D

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  6. Continuing learning equations - read our next math tutorial: Identities

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