Introduction
Good Morning learners
In this platform we will revise and learn about new important concepts in Algebraic expressions. The given task will help you recall what was done in grade 9 and will also act as guide on what you have to focus on in this topic. Make use of the notes and videos provided on this platform.
Watch this video to brief you about this topic:
Task
Gr9 MATHEMATICS TASK 4
Assessor: Mr L Matyhona Marks: 20
Instructions
• Answer all the questions
• Show all calculations, answers only will not be necessarily given full marks
• Write neatly and eligible
• Submit your answer sheet on or before 31/08/2021
QUESTION 1
Various questions are provided as possible answers to the following questions. Choose the correct answer and write only the letter (A-D).
1. 3𝑥^4 + 4𝑥^3 − 𝑥^2 − 5 is an example of a (2)
a) Monomial
b) Binomial
c) Polynomial
d) All of the above
2. ……….. is a polynomial consisting of two terms. (2)
a) Quadnomial
b) Pentanomial
c) Binomial
d) Monomial
3. (𝑥^2 + 4𝑥) is a good example of a (2)
a) Trinomial
b) Binomial
c) Unlike terms expression
d) None of the above
4. We can multiply two binomials using the following method: (2)
a) FOIL method
b) Elimination method
c) Substitution method
d) All of the above [8]
QUESTION 2
Given the following expression: 3𝑥 + 4𝑦
a) What is the coefficient of x variable? (2)
b) Give the second term of this expression. (2)
c) Multiply the given expression by 𝟐𝒙. What is the product? (3)
Show your working. [7]
QUESTION 3
Expand and fully simplify the following: 4(2𝑝 − 𝑞)^2 [5]
GOODLUCK
Process
Term 3 - Algebraic Expressions: Multiplying Binomials
Learners you are advised to watch the attached video to enhance your understanding on Algebraic expressions( which focuses on multiplying binomials). After the video, I have made a summary of notes of this topic. Please note, it is mandatory that you master the key terms and methods for calculations in order to pass this term.
Brief Summary:
Polynomials
Monomial: A polynomial consisting of one term.
Binomial: A polynomial consisting of two terms
Trinomial: A polynomial consisting of three terms.
Polynomial: An algebraic expression consisting of one or more terms.
Multiplication of Binomials
Consider the product : (a+b)(c+d)
We can use FOIL method to simplify this.
The method states that you must first multiply the first terms in each bracket. Then you multiply the outer terms, then the inner terms and finally the last terms.
Whenever a binomial is squared, the following direct method is useful:
- Square the first term
- Multiply the two expressions inside the brackets and then multiply by 2.
- Square the last term which will always be positive.
See the example:
Evaluation
Marking Guideline:
| Questions | What is expected from students | Marks |
| 1 | Multiple choice questions. Learners must choose correct answers for each sub-question (2 marks each correct answer). | 8 |
| 2 | Analyzing algebraic expression and correct calculations. | 7 |
| 3 | Expanding the expression correctly and using the correct method to simplify the expression. | 5 |
| Total | 20 |
Conclusion
Learners please make sure you understand the work posted for today. This is going to help you to understand basic calculations in simplifying the expressions. This topic prepares you for factorizing a binomial equation and other polynomials.
Go through the attached video to help you have a clue of what we will be doing in our next class.
Credits
The following will help you master this topic
Gr 9 Mind Action Series: Page 94-99
Gr 10 Mind Action Series: Page 54-56
Watch this video to master the squaring of Binomials. Feel free to pause the video and try to do some problems, then resume again to check your answers
Teacher Page
Please Students, note that this topic is very important and requires a lot of practice in order to understand it.
If you have any queries, please email me:
Thank you
Mr Matyhona L
(Mathematics Department)