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CLASS ASSIGNMENT 1
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 2 a + 2 a = (yes, they are alike; I can add)
2.2 3 a - 6 y + 7 a + 15 y = (look for like terms)
3 a + 7 a =
-6 y + 15 y =
(now write the answer alongside the question)
2.3 Add the following expressions together:
2.3.1: 6 a - 7 b - 9 c ; -7 a + 15 b - 29 c
2.3.2: -9 a ² - 16 a + 17 b ; -17 a ² -40 ; -29 b + 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 -6 a + 5 b from 16 a - 3 b
It will look like this: 16 a - 3 b - (-6 a + 5 b )
= 16 a - 3 b + 6 a - 5 b (multiply (-) within the brackets)
= 16 a + 6 a - 3 b - 5 b
= 22 a - 8 b
3.1 Calculate each of the following:
3.1.1 Subtract the second from the first: -7 a + 3 ; 6 a - 9
3.1.2 Subtract -7 a ² - 5 a + 8 from 18 a ² - 15
3.1.3 Reduce -15 $x$ ² - 7 $x$ + 20 by -6 $x$ ² + 76
HOMEWORK ASSIGNMENT 1
1. Add the following expressions together: -3 p ² - 2 p - 5 ; 6 p ² + 8 ; -15 p - 28
2. Subtract -5 p ² - 3 p from 8 - 7 a ²
3. Subtract 6 a - 8 y from 1
4. 3 a ^{3} + 6 a - 7 a - 5 - 2(8 a ^{3} - 4 a ² + 17 a + 8) - 15 a
5. Increase 6 p + 15 y - 3 a b y -13 y - 18 p + 34 a
6. By how much is -8 a ² + 6 a bigger than 15 a ² + 3 a - 5 ?
7. By how much is 4 a ² - 5 a + 1 smaller than 16 a ² + 3 a - 7 ?
8. What must be added to 5 a ² + 3 a to get -3 a + 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 : |
= -7 a +3 – 6 a + 9
= -13 a + 12
= 18 a ^{2} – 15 + -7 a ^{2} + 5 a – 8
= 25 a ^{2} + 5 a – 23
= -15 x ^{2} – 7 x + 20 + -6 x ^{2} – 76
= -9 x ^{2} – 7 x – 56
1. 3 p ^{2} – 17 p – 25
2. 8 – 7 a ^{2} – (-5 p ^{2} – 3 p )
= 8 – 7 a ^{2} + 5 p ^{2} + 3 p )
-2 a ^{2} + 3 p + 8
3. 1 – (6 a – 8 y ) = 1 – 6 a + 8 y
4. 3 a ^{3} + 6 a – 7 a – 5 – 16 a ^{3} + 8 a ^{2} – 34 a – 16 – 15 a
= -13 a ^{3} + 8 a ^{2} – 50 a – 21
5. 24 p + 28 y – 37 a
6. -23 a ^{2} + 3 a + 5
7. 12 a ^{2} + 8 a – 8
8. -6 a + 6 – 5 a ^{2}
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