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. 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. |
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