Back to Course

JSS2: MATHEMATICS - 2ND TERM

0% Complete
0/0 Steps
  1. Transactions in the Homes and Offices | Week 1
    8 Topics
    |
    1 Quiz
  2. Expansion and Factorization of Algebraic Expressions | Week 2
    4 Topics
    |
    1 Quiz
  3. Algebraic Expansion and Factorization of Algebraic Expression | Week 3
    4 Topics
    |
    1 Quiz
  4. Algebraic Fractions I | Week 4
    4 Topics
    |
    1 Quiz
  5. Addition and Subtraction of Algebraic Fractions | Week 5
    2 Topics
    |
    1 Quiz
  6. Solving Simple Equations | Week 6
    4 Topics
    |
    1 Quiz
  7. Linear Inequalities I | Week 7
    4 Topics
    |
    1 Quiz
  8. Linear Inequalities II | Week 8
    2 Topics
    |
    1 Quiz
  9. Quadrilaterals | Week 9
    2 Topics
    |
    1 Quiz
  10. Angles in a Polygon | Week 10
    4 Topics
    |
    1 Quiz
  11. The Cartesian Plane Co-ordinate System I | Week 11
    3 Topics
    |
    1 Quiz
  12. The Cartesian Plane Co-ordinate System II | Week 12
    1 Topic
    |
    1 Quiz



Lesson Progress
0% Complete

Topic Content:

  • Expressions with Brackets

In Algebra, letters stand for numbers. The number can be whole, positive or negative. To solve algebraic expressions containing brackets, we solve the brackets first e.g. 

a. \( \scriptsize 5x \: + \: (4x \: – \: 3x) \)

The bracket contains the expression 4x – 3x which is equal to x

4x – 3x = x

We can then solve the whole equation since we have solved what was in the brackets

\( \scriptsize 5x \: + \: (4x \: – \: 3x) \\ \scriptsize = 5x \: + \: x \\ = \scriptsize 6x \)

b. \( \scriptsize 9x \: – \: (5x \: + \: 2x)\)

The bracket contains the expression 5x + 2x which is equal to 7x

5x + 2x = 7x

We can then solve the whole equation since we have solved what was in the brackets

\( \scriptsize 9x \: – \: (5x \: + \: 2x) \\ \scriptsize 9x \: – \: 7x \\ = \scriptsize 2x \)

Rules for Removing Brackets in Algebraic:

Remember:

\( \scriptsize + \: \times \: – \: = \: \: – \) (plus times minus = minus)

\( \scriptsize – \: \times \: + \: = \: \: – \) (minus times plus = minus)

\( \scriptsize – \: \times \: – \: = \: \: + \) (minus times minus = plus)

\( \scriptsize + \: \times \: + \: = \: \: + \) (plus times plus = plus)

(i) “+ sign before a bracket multiplies everything within the bracket and hence does not change the sign of terms in the bracket e.g. 

 

You are viewing an excerpt of this Topic. Subscribe Now to get Full Access to ALL this Subject's Topics and Quizzes for this Term!

Click on the button "Subscribe Now" below for Full Access!

Subscribe Now

Note: If you have Already Subscribed and you are seeing this message, it means you are logged out. Please Log In using the Login Button Below to Carry on Studying!

Responses

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

error: Alert: Content selection is disabled!!