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Y7 algebra word problems

Ketna Mistry

Created on November 10, 2021

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Solving word problems using algebra

1When 9 is subtracted from a number and then divided by 2, the answer is 4. What is the number?

  • 8
  • 17
  • 18

Pictorial representation

When 9 is subtracted from a number and then divided by 2, the answer is 4. What is the number?

2The length of a rectangle is twice that of the width. The perimeter of the rectangle is 24 cm. What is the width of the rectangle?

  • 6

Pictorial representation

  • 8
  • 4

The length of a rectangle is twice that of the width. The perimeter of the rectangle is 24 cm. What is the width of the rectangle?

2a

24

2a

2a

2a

3Marcus, Sally and Sammy decided to share 20 sweets. Marcus took 8 sweets and Sally took three times as many as Sammy. How many sweets did Sammy receive?

  • 4

Pictorial representation

  • 12
  • 3

Marcus, Sally and Sammy decided to share 20 sweets. Marcus took 8 sweets and Sally took three times as many as Sammy. How many sweets did Sammy receive?

20

Marcus Sammy Sally

20

4 If the sum of three consecutive numbers is 72, what is the largest number?

  • 23, 24, 25

Pictorial representation

  • 21, 22, 23
  • 24, 25, 26

If the sum of three consecutive numbers is 72, what is the largest number?

72

a+1

72

a-1

a-1

a+1

5 Andy is 2 times younger than his sister and his father is 25 years older than him. If the total of their ages is 53 years, what is Andy’s age and his father’s age?

  • 28

Pictorial representation

  • 7
  • 4

Andy is 2 times younger than his sister and his father is 25 years older than him. If the total of their ages is 53 years, what is Andy’s age and his father’s age?

+25

53

53

+ 25

5 Andy is 2 times younger than his sister and his father is 25 years older than him. If the total of their ages is 53 years, what is Andy’s age and his father’s age?

  • 28

Pictorial representation

  • 7
  • 4

5 Andy is 2 times younger than his sister and his father is 25 years older than him. If the total of their ages is 53 years, what is Andy’s age and his father’s age?

  • 28

Pictorial representation

  • 7
  • 4

Andy is 2 times younger than his sister and his father is 25 years older than him. If the total of their ages is 53 years, what is Andy’s age and his father’s age?

+25

53

53

+ 25