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Students will learn about Graphical Representation of Linear Equations.
1. How to draw the graph of the linear equation that converts temperature in Fahrenheit to Celsius?
2. If temperature is given in Celsius, how to convert it to Fahrenheit?
3. If temperature is given in Fahrenheit, how to convert it to Celsius?
4. If the temperature is 0°C, what is the temperature in Fahrenheit, and
5. and if the temperature is 0°F, what is the temperature in Celsius?
6. Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, how to find it.
7. If two students together contribute some amount for relief fund, then how to write a linear equation and draw a graph of the linear equation?
8. Seven years ago, age of father is seven times his daughter’s age. Also, after three years from now, age of father will be three times his daughter’s age. How to represent this situation algebraically and graphically?
9. The cost of 2 kg. of apples and 1 kg of grapes is given. Further, the cost of 4 kg. of apples and 2 kg. of grapes is also given. How to representation this situation algebraically and geometrically?
10. The coach of a cricket team buys 3 bats and 6 balls for some amount. Later, she buys another bat and 3 more balls for some amount. How to represent this situation algebraically and geometrically?
Four equations and a figure are given. How to choose the equation whose graph is given in figure?
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After going through this course, the students will understand: Any equation which can be put in the form ax + by + c = 0, where a, b and c are real numbers, and a and b are not both zero, is called a linear equation in two variables. The highest power of x and y in the equation is 1. The number multiplied to variable is called coefficient. The geometrical (i.e., graphical) representation of a linear equation in two variables is a straight line. The solution of a linear equation is not affected when: (i) the same number is added to (or subtracted from) both the sides of the equation. (ii) you multiply or divide both the sides of the equation by the same non-zero number. A linear equation in two variables has infinitely many solutions.
How to draw the graph of the linear equation that converts temperature in Fahrenheit to Celsius? If temperature is given in Celsius, how to convert it to Fahrenheit? If temperature is given in Fahrenheit, how to convert it to Celsius? If the temperature is 0°C, what is the temperature in Fahrenheit, and and if the temperature is 0°F, what is the temperature in Celsius? Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, how to find it.
If two students together contribute some amount for relief fund, then how to write a linear equation and draw a graph of the linear equation?
Seven years ago, age of father is seven times his daughter’s age. Also, after three years from now, age of father will be three times his daughter’s age. How to represent this situation algebraically and graphically?
The cost of 2 kg. of apples and 1 kg of grapes is given. Further, the cost of 4 kg. of apples and 2 kg. of grapes is also given. How to representation this situation algebraically and geometrically?
The coach of a cricket team buys 3 bats and 6 balls for some amount. Later, she buys another bat and 3 more balls for some amount. How to represent this situation algebraically and geometrically?
Four equations and a figure are given. How to choose the equation whose graph is given in figure?