chapter 4.1 i algebraic expressions enhance.doc
Transcript of chapter 4.1 i algebraic expressions enhance.doc
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Unknown Important Concept ‘An unknown is a quantity whose value has not been determined’
4.1.1Example Exercise
1. Azmi bought some durians
Solution:
The unknown is the number of durian.
1.
2.
3.
4.
5.
There were a lot of people in the fun fair.Solution:
Mr.Tan lost a large amount of money when he dropped his walletSolution:
A number of students are studying in the library.Solution:
My father bought a few kilograms of rambutans yesterday.Solution:
Ketty gained a few kilograms of weight during the holidaysSolution:
Algebraic term identifying algebraic terms with one unknown.
Important concept: ‘An algebraic term with one unknown is the product of a number and an unknown’
4.1.2EXAMPLE EXERCISE
is the multiplication of the number 6 with the unknown
1.
2.
Determine the algebraic term with one unknown for each of the following.3eSolution:
-5tSolution:
Algebraic Expressions 1
CHAPTER 4 4.1 ALGEBRAIC EXPRESSION I, II, III
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EXERCISE EXERCISE
3. 0.8tSolution:
4. 80wSolution
Identify Coefficients in given algebraic term Important concept: ‘ the number is known as the coefficient of the unknown’
4.1.3EXAMPLE EXERCISE
1.
2.
3.
: 6 is the coefficient of
: -3 is the coefficient of
: is the coefficient of
because
: is the coefficient of
1.
2.
3.
4.
5.
Solution:
Solution:
Solution:
Solution:
Solution:
Identify Like Algebraic Term and Unlike algebraic Term. Important concept: Like term : are term have that same unknowns Unlike term : are term that have different unknowns
4.1.4EXAMPLE EXERCISE
Like Term:
and same
and unknowns
and
Unlike Term :
1.
2.
3.
4.
Determine the term in each of the following pairs of term given below like terms or unlike terms.
Solution:
Solution:
Solution:
Algebraic Expressions 2
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and different
and unknowns
and
5.
Solution:
Solution:
Algebraic ExpressionsImportant concept: group all the like terms together add/subtract the coefficient of the terms leave the terms as your answer
4.1.5EXAMPLE EXERCISE
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2.
3.
4.
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2.
3.
4.
Simplify the following algebraic expressions.
EXERCISE EXERCISE
5. 6.
An algebraic term in two or more unknowns is a product of two or more
unknowns and a number.4.1.6
Algebraic Expressions 3
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EXAMPLE EXERCISE
1.
= The coefficient of is 5 = The coefficient of is = The coefficient of is
1.
2.
3.
4.
Write the unknowns in the following algebraic terms.
Solution:
Solution :
Solution:
5tSolution:
Finding the product of two algebraic terms.4.1.7
EXAMPLE EXERCISE
1.
2.
1.
2.
3.
4.
Solution:
Solution:
Solution:
Solution:
Algebraic Expressions 4
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3.
4.
5.
6.
Solution:
Solution:
EXERCISE EXERCISE
7.
9.
Solution:
Solution:
8.
10.
Solution:
Solution:
Expanding single brackets and two brackets.4.1.8
EXAMPLE EXERCISE
Algebraic Expressions 5
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1.
2.
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Expanding single brackets 1.
2.
3.
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EXERCISE EXERCISE5.
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8.
EXAMPLE EXERCISE
Algebraic Expressions 6
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1.
2.
Expanding two brackets; 9.
10.
11.
12.
EXERCISE EXERCISE13.
15.
14.
16.
EXAMPLE EXERCISE
3.17.
Algebraic Expressions 7
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4.18.
19.
20.
:
)6( 2
Solution
qp
Factorising Algebraic Expressions.4.1.9
EXAMPLE EXERCISE
Algebraic Expressions 8
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6.
EXAMPLE EXERCISE
Algebraic Expressions 9
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7.
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Questions based on examination format
Algebraic Expressions 10
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4. Factorize
Algebraic Expressions 11
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15. The length of a football field (4h-3) m and its width is (3h +2) m. The perimeter of the field, in m, is
16.If and , find the value of
17.Find the value of when and
18.Tickets to a circus for child is RM and for an adult is RM . The total price of tickets for 10 children and 2 adults, in RM, is
19.The value of when and
is
Algebraic Expressions 12
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PAST YEAR SPM QUESTIONS.
November 20031.
A. C. B. D.
November 20042.
A. C. B. D.
November 2005
3. A. C. B. D.
Jun 2006
4. (y + x)(2y - x) =A. 2y2 - xy + x2 C. 2y2 + xy - x2
B. 2y2 - xy - x2 D. 2y2 + xy - x2
November 20065. 3x2 - x(1 - x) =
A. 2x2 - 1 C. 4x2 - 1B. 2x2 - x D. 4x2 - x
Jun 2007
6. (x – y) (5x + 3y) – x(x – y) = A. 4x2 –xy -3y2 C. 4x2 –xy + 3y2
B. 4x2 -3xy – 3y2 D. 4x2 -3xy + 3y2
November 2007
7. (2x –y)2 – x ( x – y) =
Algebraic Expressions 13
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A.3x2 - 3xy + y2 C. 3x2 + xy –y2
B. 3x2 - 5xy + y2 D. 3x2 - 5xy –y2
November 2008
8. 5pq – 2( 1 – pq) =A. 3pq - 2 C. 6pq - 2B. 4pq - 2 D. 7pq - 2
ANSWERS
Chapter 4 Algebraic Expressions
Algebraic Expressions 14
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4.1.1 1. ‘a lot of people’ 2. ‘a large amount of money’ 3. ‘a number of students’ 4. ‘a few kilograms of rambutans 5. ‘a few kilograms’4.1.2 1.e 2.t 3.t 4.w 4.1.3 1. 8 2. 0.65 3.-13
4.
5. -1
4.1.4 1.unlike terms 2.like terms 3.unlike terms 4.like terms 5. like terms
4.1.5 1.-3y 2. -7n 3. -4w-9x 4. -4k-3 5. 10v-d 6. -3u-15
4.1.6 1.a and b 2. p and q 3. x, y and z 4. t4.1.7 1. 2. 3. 4. 5. 6. 7. 8.
Algebraic Expressions 15
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9.
10.
4.1.8
4.19
Algebraic Expressions 16
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Examination Format Questions1. C 11. C2. B 12. C3. D 13 D4. A 14. B5. D 15 D6. C 16 A7. D 17 D8. A 18 B9. A 19 C10. C 20 B
SPM Past year questions. 1. A 2. B 3. B 4. C 5. D 6. A 7. A 8. D
Algebraic Expressions 17