**Q. 1.** Solve the equation 2x + 1 = x – 2 & represent the solution on :

- The number line
- Cartesian plane

**Q. 2.** The linear equation that converts the Fahrenheit to Celsius is as follows :-

- Draw the graph of the linear equation .
- If the temperature is 950F , what is the temperature in Celsius .
- Is there a temperature which is numerically the same in both Fahrenheit and Celsius ? If yes, find it.

**Q. 3.** Express the following information in the form of linear equation :

- In a one day International cricket match between India & Srilanka played in Nagpur, two Indian batsman together scored 176 runs .
- The cost of a notebook is twice the cost of a pen.

**Q. 4.** Find two solutions for each of the following equations :

- 4x + 3y = 12
- 2x + 5y = 0
- px + y = 3

**Q. 5.** Express each of the following linear equation in the standard form & hence find the values of a, b & c in each case :

- 2x + 3y = (c) 2x = -5y

**Q. 6.** Check which of the following are solutions of the equation x – 2y = 4.

- (1,1)
- (4,0)

**Q. 7.** (a). How many solutions does the following linear equation & why ?

3x – y + 5 = 0

Find the value of k, if x = 2, y = 1 is a solution of the equation 2x + 3y = k.

**Q. 8.** (a). Given the point (1,2), find the equation of a line on which it lies. How many such equations are there ?

Give an equation of two lines passing through (2,14). How many more Such lines are there & why ?

**Q. 9. **Draw the graph of each of the following linear equation in two variables :

- 3 = 2x + y
- y = 3x

**Q. 10. **The taxi fare in the city is as follows : For the first kilometer, the are is Rs. 8 & for the subsequent distance it is Rs. 5 per km. Write a linear equation for this information & draw its graph .