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isaiahst573
23.01.2020 •
Mathematics
What is the incorrect rounding for 53.864
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Ответ:
Ответ:
Example:
Add 3x + 4 by x + 5.
(x + 5) + (3x + 4) Write, with brackets, as sum.
x + 5 + 3x + 4 Remove brackets, with care.
4x + 9 Collect like terms.
In this exercise, add the two given expressions:
1. 7a + 3 and a + 2
2. 5x – 2 and 6 – 3x
3. x + ½ and 4x – 3½
4. a2 + 2a + 6 and a – 3 + a2
5. 4a2 – a – 3 and 1 + 3a – 5a2
C Subtracting expressions
Study the following examples very carefully:
Subtract 3x – 5 from 7x + 2.
(7x + 2) – (3x – 5)
Notice that 3x – 5 comes second, after the minus.
7x + 2 – 3x + 5
The minus in front of the bracket makes a difference!
4x + 7
Collecting like terms.
Calculate 5a – 1 minus 7a + 12: (5a – 1) – (7a + 12)
5a – 1 – 7a – 12
–2a – 13
D Mixed problems
Do the following exercise (remember to simplify your answer as far as possible):
1. Add 2a – 1 to 5a + 2.
2. Find the sum of 6x + 5 and 2 – 3x.
3. What is 3a – 2a2 plus a2 – 6a?
4. (x2 + x) + (x + x2) = . . .
5. Calculate (3a – 5) – (a – 2).
6. Subtract 12a + 2 from 1 + 7a.
7. How much is 4x2 + 4x less than 6x2 – 13x?
8. How much is 4x2 + 4x more than 6x2 – 13x?
9. What is the difference between 8x + 3 and 2x +1?
Use appropriate techniques to simplify the following expressions:
1. x2 + 5x2 – 3x + 7x – 2 + 8
2. 7a2 – 12a + 2a2 – 5 + a – 3
3. (a2 – 4) + (5a + 3) + (7a2 + 4a)
4. (2x – x2) – (4x2 – 12) – (3x – 5)
5. (x2 + 5x2 – 3x) + (7x – 2 + 8)
6. 7a2 – (12a + 2a2 – 5) + a – 3
7. (a2 – 4) + 5a + 3 + (7a2 + 4a)
8. (2x – x2) – 4x2 – 12 – (3x – 5)
9. x2 + 5x2 – 3x + (7x – 2 + 8)
10. 7a2 – 12a + 2a2 – (5 + a – 3)
11. a2 – 4 + 5a + 3 + 7a2 + 4a
12. (2x – x2) – [(4x2 – 12) – (3x – 5)]
Here are the answers for the last 12 problems:
1. 6x2 + 4x + 6
2. 9a2 – 11a – 8
3. 8a2 + 9a – 1
4. – 5x2 – x + 17
5. 6x2 + 4x + 6
6. 5a2 – 11a + 2
7. 8a2 + 9a – 1
8. – 5x2 – x – 7
9. 6x2 + 4x + 6
10. 9a2 – 13a – 2
11. 8a2 + 9a – 1
12. – 5x2 + 5x + 7
Activity 2
To multiply certain polynomials by using brackets and the distributive principle
[LO 1.2, 1.6, 2.7]
A monomial has one term; a binomial has two terms; a trinomial has three terms.
A Multiplying monomials.
Brackets are often used.
Examples:
2a × 5a = 10a2
3a3 × 2a × 4a2 = 24 a6
4ab × 9a2 × (–2a) × b = –36a4b2
a × 2a × 4 × (3a2)3 = a × 2a × 4 × 3a2 × 3a2 × 3a2 = 126a8
(2ab2)3 × (a2bc)2 × (2bc)2 = (2ab2) (2ab2) (2ab2) × (a2bc) (a2bc) × (2bc) (2bc) = 32a7b10c4
Always check that your answer is in the simplest form.