Back to Course

JSS1: MATHEMATICS - 2ND TERM

0% Complete
0/0 Steps
  1. Algebraic Processes | Week 1
    4 Topics
    |
    1 Quiz
  2. Simplification of Algebraic Expressions | Week 2
    4 Topics
    |
    1 Quiz
  3. Simplification of Algebraic Expressions 2 (Use of Brackets) | Week 3
    4 Topics
    |
    1 Quiz
  4. Simple Equations | Week 4
    1 Topic
    |
    1 Quiz
  5. Simple Equations II | Week 5
    3 Topics
    |
    1 Quiz
  6. Plane Shapes I | Week 6
    5 Topics
    |
    2 Quizzes
  7. Plane Shapes II | Week 7
    7 Topics
    |
    1 Quiz
  8. Plane Shapes III | Week 8
    7 Topics
    |
    1 Quiz
  9. Decimal and Percentages I | Week 9
    2 Topics
    |
    1 Quiz
  10. Decimal and Percentages | Week 10
    3 Topics
    |
    1 Quiz



  • Follow us

Lesson Progress
0% Complete

First, we need to translate word problems into equations with variables. Then, we need to solve the equation(s) to find the solution(s) to the word problem.

Example 1

1. What number when added to 8 gives 15?
2. Segun thinks of a number, subtracts 7 from it and the result is 11. What is the number?
3. When a number is multiplied by 4, the result is 24. What is the number?

Solution

1. Let the number added to 8 that gives 15 be x

i.e. \( \scriptsize x \: + \: 8 = 15 \)

This statement is true if  x =  7

The number added is 7

\( \scriptsize 7 \: + \: 8 = 15 \: is \: true \)

2. Let y be the number you subtract 7 from to get 11.

i.e. \( \scriptsize y \: – \: 7 = 11 \)

The statement is true if y = 18

The number is 18

\( \scriptsize 18 \: – \: 7 = 11 \)

3. Let z be the number you multiply by 4 to get 24.

i.e. \( \scriptsize z \: \times \: 4 = 24 \)

This statement is true if  z = 6

The number is 6.

Example 2

A woman is twice as old as her daughter. The woman is x years old.

a. How old is the daughter?
b. How old were they 5 years ago?
c. How old will the woman be in 15 years’ time?

Solution

a. If the woman is x years old, then her daughter is \( \frac{x}{2} \: \scriptsize years.\) 

b. 5 years ago, the woman was (x  –  5) years and the daughter was \( \left( \frac{x}{2} \scriptsize \: – \: 5 \right ) \: \scriptsize years\)

c. In 15 years’ time the woman will be (x  +  15) years.

Responses

Your email address will not be published. Required fields are marked *