Inside Collection (Textbook): Algebra
CLASS ASSIGNMENT1
1.Can you still do the following with integers?
1.1: -8 - 12 + 8
1.2: 7 - (+8) - (-6)
1.3: 15 - (-9) + (+7)
1.4: 2(-6) - 5(-6)
1.5: 50 - 70 + 15
2. WOW! Look at this! Quite easy….
2.1 2a + 2a = (yes, they are alike; I can add)
2.2 3a - 6y + 7a + 15y = (look for like terms)
3a + 7a =
-6y + 15y =
(now write the answer alongside the question)
2.3 Add the following expressions together:
2.3.1: 6a - 7b - 9c ; -7a + 15b - 29c
2.3.2: -9a² - 16a + 17b ; -17a² -40 ; -29b + 30
3. How about subtracting? Look at the following example:Subtract 6 from 15 . How would you write this? 15 - (+6) = 15 - 6 = 9
Explanation: (-) x (+) = (-) THEREFORE: 15 - 6
Look at the following: Subtract -6a + 5b from 16a - 3b
It will look like this: 16a - 3b - (-6a + 5b)
= 16a - 3b + 6a - 5b (multiply (-) within the brackets)
= 16a + 6a - 3b - 5b
= 22a - 8b
3.1 Calculate each of the following:
3.1.1 Subtract the second from the first: -7a + 3 ; 6a - 9
3.1.2 Subtract -7a² - 5a + 8 from 18a² - 15
3.1.3 Reduce -15
HOMEWORK ASSIGNMENT1
1. Add the following expressions together: -3p² - 2p - 5 ; 6p² + 8 ; -15p - 28
2. Subtract -5p² - 3p from 8 - 7a²
3. Subtract 6a - 8y from 1
4. 3a^{3} + 6a - 7a - 5 - 2(8a^{3} - 4a² + 17a + 8) - 15a
5. Increase 6p + 15y - 3a by -13y - 18p + 34a
6. By how much is -8a² + 6a bigger than 15a² + 3a - 5 ?
7. By how much is 4a² - 5a + 1 smaller than 16a² + 3a - 7 ?
8. What must be added to 5a² + 3a to get -3a + 6 ?
Assessment
Assessment of myself: | by myself: | Assessment by Teacher: | |||||||||||||
I can… | | | | 1 | 2 | 3 | 4 | Critical Outcomes | 1 | 2 | 3 | 4 | |||
Identify like terms in an expression; (Lu 2.8.1; 2.8.2) | Critical and creative thinking | ||||||||||||||
Add like terms together; (Lu 2.8.2; 2.8.4) | Collaborating | ||||||||||||||
Subtract like terms from each other; (Lu 2.8.2; 2.8.4) | Organising en managing | ||||||||||||||
Add and subtract constant values; (Lu 2.8.4) | Processing of information | ||||||||||||||
Add a range of expressions together; (Lu 2.8.2; 2.8.4; 2.8.6) | Communication | ||||||||||||||
Subtract a range of expressions from each other. (Lu 2.8.2; 2.8.4; 2.8.6) | Problem solving | ||||||||||||||
Independence | |||||||||||||||
good average not so good
Comments by the learner: | My plan of action: | My marks: | ||||||
I am very satisfied with the standard of my work. | < | Date: | ||||||
I am satisfied with the steady progress I have made. | Out of: | |||||||
I have worked hard, but my achievement is not satisfactory. | Learner: | |||||||
I did not give my best. | > |
Comments by parents: | Comments by teacher: | |
Parent signature: Date | Signature: Date: |
= -7a +3 – 6a + 9
= -13a + 12
= 18a^{ 2} – 15 + -7a^{ 2} + 5a – 8
= 25a^{ 2} + 5a – 23
= -15x^{2} – 7x + 20 + -6x^{2} – 76
= -9x^{2} – 7x – 56
1. 3p^{2} – 17p – 25
2. 8 – 7a^{2} – (-5p^{2} – 3p)
= 8 – 7a^{2} + 5p^{2} + 3p)
-2a^{2} + 3p + 8
3. 1 – (6a – 8y) = 1 – 6a + 8y
4. 3a^{3} + 6a – 7a – 5 – 16a^{3} + 8a^{2} – 34a – 16 – 15a
= -13a^{3} + 8a^{2} – 50a – 21
5. 24p + 28y – 37a
6. -23a^{2} + 3a + 5
7. 12a^{2} + 8a – 8
8. -6a + 6 – 5a^{2}