Question

. Fill in the blanks: 4x1/2=2M
1. An equation of the type y = mx represents a line passing through ___________
2. Every point on the graph of a linear equation in two variables is a _______ of the linear equation.
3. A linear equation in two variables has ________ solutions.
4. The graph of every linear equation in two variables is a ________
II. Choose the correct answers: 4x1/2=2M
1. Which of the following is the equation of a line Parallel to y-axis?
[ ]
a) y = - 2 b) y = 0 c) x = a 2. What is the equation of x – axis?
d) y = a
[ ] 3. For which condition does the equation ax+by+c=0 represent a linear equation
a) x = 0 b) x = - 2 c) y = 0
d) y = - 2
in two variables? a) a ≠ 0 , b = 0 c) a ≠ 0 , b ≠ 0
b) a = 0 , b = 0
[ ] [ ]
d) a = 0 , b ≠ 0
4. How many lines passing through the point (0, 0)
a) only one b) two c) infinitely many
III. Solve the following problems: 6x1=6M
d) three
1. The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.
2. Find four different solutions of the equation x + 2y = 6.
3. Find the value of k, if x = 2, y = 1 is a solution of the equation 2x + 3y = k.
4. If the point (3, 4) lies on the graph of equation 3y = ax + 7, find the value of ‘a’.
5. Here is a linear equation that converts Fahrenheit to Celsius is F = (9/5)C + 32. If the temperature is – 400C then what is the temperature in Fahrenheit?
6. If the point (2p, p – 3) lies on the equation 3x+2y+12=0 then find the value of p.

Answer 1

Step-by-step explanation:

1. The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.

2. Find four different solutions of the equation x + 2y = 6.

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

4. If the point (3, 4) lies on the graph of equation 3y = ax + 7, find the value of ‘a’.

5. Here is a linear equation that converts Fahrenheit to Celsius is F = (9/5)C + 32. If the temperature is – 400C then what is the temperature in Fahrenheit?

6. If the point (2p, p – 3) lies on the equation 3x+2y+12=0 then find the value of p.