AI verified by TopeyAlgebraKey Stage 3

Forming an equation from words

Forming an equation from words.

  • Let a letter represent the unknown number.
  • Translate the operations in order, and use the stated result to form an equation.
  • Solve by balancing both sides, then check the answer in the original situation.

Example 1

A number is multiplied by 2, then 3 is added. The result is 7. Form an equation and find the number.

Let represent the number. Write the operations in the stated order.

Example 2

A number is multiplied by 3, then 5 is subtracted. The result is 1. Form an equation and find the number.

Let represent the number. Write the operations in the stated order.

Your turn

Question 1

A number is multiplied by 4, then 7 is added. The result is 15. Form an equation and find the number.

Check answer
Let represent the number. Write the operations in the stated order.
Question 2

A number is multiplied by 5, then 9 is added. The result is 19. Form an equation and find the number.

Check answer
Let represent the number. Write the operations in the stated order.
Question 3

A number is multiplied by 6, then 11 is subtracted. The result is 1. Form an equation and find the number.

Check answer
Let represent the number. Write the operations in the stated order.
Question 4

A number is multiplied by 7, then 13 is added. The result is 27. Form an equation and find the number.

Check answer
Let represent the number. Write the operations in the stated order.
Question 5

A number is multiplied by 8, then 3 is added. The result is 19. Form an equation and find the number.

Check answer
Let represent the number. Write the operations in the stated order.
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