**Lesson Three**

**Class: JSS1**

**Topic: Simple Equations**

**Sub-Topic: Translation of word problems into mathematical statements.**

Word problems can be translated into mathematical statements and vice versa.

To translate word problems into mathematical statements, the meaning of the following words should be understood as shown in the table below.

word | Mathematical Translation |

Sum, plus, more than and add | + |

Difference, less than and Subtract | – |

Product, of and multiply | * |

Quotient and divide | / |

Result, outcome and answer | = |

Steps to translate word problems into mathematical statements are as follows:

- Let the unknown to any letter (alphabet)
- Translate the word problem to mathematical statement
- Solve the mathematical statement to get the unknown.

Example: Translate each of the following word problems into their respective mathematical statements.

- Add 6 to a number n
- Subtract 11 from a number k
- Add 7 to a number and then multiply by 3
- One- eighth of a number is added to one and a half. The result is 4.

*Solution*

- Given the number as n

Add 6 to n

= 6 + n

- Given the number as k

Subtract 11 from k

= k – 11

- Let the number be f

Add 7 to f

7 + f

Multiply by 3

3 * (7 + f)

= 21 + 3f

- Let the number be y

One- eighth of a number = 1/8 *y = 1/8y

Add 1/8y to 1½ = 1/8y + 1½

The result is 4

ie, 1/8y + 1½ = 4

__Translation of mathematical Statements to word problems__

It is a reverse process of translating word problems into mathematical statements.

Example: Translate the following equations into words.

- 3m = 9
- 2d + 11 = 21
- 5(6v + 1) = 41

*Solution*

- 3m = 9

Three times a certain number, gives 9

- 2d + 11 = 21

When 11 is added to two times a certain number, the result is 21.

- 5(6v + 1) = 41

Six times a certain number added to 1 is multiplied by 5. The result is 41.

__Assignment__

- Translate the following equations into words.
- 3y + 7 = 22
- 3f + 7 = 4f – 2

- Translate each of the following word problems into their respective mathematical statements.
- Subtract 5 from a number k and then multiply by 4.
- Audu had y books. He was given 5 more.
- A certain number is multiplied by 10 and 4 is subtracted. The result is 16.

N/B: *Always refers to New Concept Mathematics for JSS1 for further Studies.*

Submit it on Monday 25th May, 2020 via whatsApp @ 07035773326.

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