Sample of Gr. 11 Notes
| Exercise 2.1 |
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Sketch the following graphs by using the dual intercept
method: |
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y = x - 2
2. y = 5 - x
3. y = 2x + 7 |
4. |
y = 3x - 5
5. x - y + 3 = 0
6. 3x + 4y - 5 = 0 |
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| 2.1.2 Relationship between points.
- AS 11.2.1, AS 11.2.3 |
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Study the table below: |
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| x | 1 | 2 | 3 | 8 | b |
| y | 4 | 5 | 6 | a | 103 |
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How can you calculate the value of y if you know the value of x? |
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Compare : 4 = 1 + 3, 5 = 2 + 3,
6 = 3 + 3 |
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We conclude that y is 3 more than x for any value of x - we
write y = x + 3 |
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The relationship in words: y is 3 more than x OR
y is equal to the sum of x and 3 |
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The relationship in symbols: y = x + 3 |
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Now use this formula to calculate the values of a and b. |
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y = x + 3 : a = 8 + 3
103 = b + 3 |
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= 11
103 - 3 = b |
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100 = b |
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Are our calculated values correct? We said the relationship
is: y is 3 more than x. |
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Now: 11 is 3 more than 8 and 103 is 3 more as 100. We
conclude that our values are correct.
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| Exercise 2.2 |
| 1. |
Study the tables below. Write down in words and in symbols the
relationship between x and y |
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and then calculate the values represented by the
letters: |
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| 1.1 |
| x | 1 | 2 | 6 | 8 | b |
| y | 4 | 3 | -1 | a | -4 |
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1.2 |
| x | 1 | 3 | 6 | 9 | d |
| y | -4 | -2 | 1 | c | 11 |
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| 1.3 |
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