Q1. Two solutions of this equation 2x + y = 1 are

- (0, 1) and (1, 0)
- (0, 1) and (1/2, 0)
- (2, 0) and (1, 2)
- (2, 3) and (4, 5)

**Q2. The Equation y = – 5, in two variables can be written in the form of ax + by + c = 0 as**

- 1.x + 0.y -5 = 0
- 0.x + 1.y -5 = 0
- 0.x + 1.y + 5 = 0
- 1.x + 0.y + 5 = 0

**Q3. The number of lines passing through (3, 5) are:**

- 1
- 2
- Infinite

**Q4. A line intercepts the x axis at (-7, 0), so its x intercept is**

- 7
- -7
- 0
- None

**Q5. Which of the following pair is a solution of the equation 2x – 3y = 7**

- (5,1)
- (1,5)
- (0,2)
- (2,-3)

**Q6. The positive solution of equation ax + by + c = 0 always lie in the:**

- I
^{st}quadrant - 2
^{nd}quadrant - 3
^{rd}quadrant - 4
^{TH}quadrant

**Q7. Which of the following is a solution of the equation 4x + 3y = 16?**

- (2, 3)
- (1, 4)
- (2, 4)
- (1, 3)

**Q8. Equation of x-axis is:**

- x = 0
- y = 0
- y = x
- x = 1

**Q9. For what value of k, x = 2 and y = -1 is a solution of x + 3y – k = 0?**

- -1
- 2
- -2
- 3

**Q10. An equation of the type ————- represents a line passing through the origin.**

- y = m + x
- y = m + x + 1
- y = mx
- x = m – y

**Q11. 14 If -0.25x + 1.3 = -0.55x – 0.2 , then x**

- -5
- -2
- 5
- 2

**Q12. A linear equation in one variable is an equation of the form ………..**

- ax + b = 0, where a, b , c are real numbers
- ax = c, where a and c are real numbers
- by = c, where band c are real number
- All of above

**Q13. Which of the following points lies on the line 3x + 2y = 6?**

- (1, 2)
- (2, 3)
- (3, 0)
- (0, 3)

**Q14. Four times B’s age exceeds A’s age by twenty years.**

- 5B – 3A = 25
- 4B – A = 20
- 3B – 2A = 18
- 5B – 7A = 16

**Q15. If a linear equation has solutions (-2,2), (0,0) (2,-2) then it is of the form:**

- y – x = 0
- x + y = 0
- -2x + y = 0
- -x + 2y = 0

**Q16. The value of k if x = 2, y = 1 is a solution of the equation 2x – k = – 3y is:**

- 7
- 6
- -7
- 5

**Q17. The linear equation 5x – y = 2x – 1 has**

- 2 solutions
- a unique solution
- no solution
- Infinitely many solutions

**Q18. The graph of ————— is a straight line parallel to y axis.**

- x + a = y
- x = a
- x = ay
- x – a = y

**Q19. The speed x of train A is twice the speed y of the train B. Express this in the form of a linear eQuation.**

- x = y/2
- x = 2y
- x = y + 2
- x = y – 2

**Q20. Which of these points does not lie on the graph of y = -x + 3?**

- 9,-6
- 3,0
- -2,5
- 2,2

**Q21. A linear equation in two variables has how many solutions?**

- One
- Two
- Infinite
- Not possible

**Q22. The x and y intercepts of the line 2y = 3x**

- 2 and 3
- 3 and 2
- 0 and 0
- 0 and 2

**Q23. The graph of the equation of the form y=mx is a line which always passes through:**

- (0, m)
- (x, 0)
- (0, y)
- (0, 0)

**Q24. For a line y = mx to pass through the origin, what are the possible values of m?**

- Any real value
- Only positive real values
- Only negative real values
- Only rational numbers

**Q25. The line ax + by = ab makes intercepts on the x and y axis.**

- a and b
- b and a
- a and ab
- b and ab

**Q26. Two intersecting straight lines have**

- only one point in common.
- Infinitely many points in common
- Two points in common
- No points in common

**Q27. The number of line(s) passing through a point (3,4) is (are):**

- Only one
- Two
- Infinite
- Three

**Q28. The line x = 3 is**

- A horizontal line
- A vertical line
- A line passing through origin
- A line meeting both x and y axis

**Q29. Which of these points does not lie on the graph of y = -x + 3?**

- 9,-6
- 3,0
- -2,5
- 2,2

**Q30. Which of the following is not a linear equation?**

- ax + by + c = 0
- 0x + 0y + c=0
- 0x + by + c = 0
- ax + 0y + c = 0

**Q31. (2,-3) is a solution of 3x + 4y + k = 0. So, the value of k must be**

- -4
- 4
- 6
- -6

**Q32. The number of girls x in a class is 5 less than twice the number of boys y of the same class. The linear equation in two variables for this information is**

- x + 5 = 2y
- x + 2y = -5
- 2y – x = -5
- 2x – y = 5

**Q33. The value of m, if a = 3 and b = 1 is the solution of equation 2a + 3b = m is:**

- 8
- 7
- 10
- 9

**Q34. ——————- is the equation of y-axis.**

- y = 0
- x = 0
- y = 1
- y = -1

**Q35. Which of the following statement is true for the linear equation y = 2x + 7**

- There is no solution
- Only two solution is possible
- A Unique
- There are infinitely many solutions.

**Q36. A line is parallel to the x – axis and 2 units below its so its equation must be**

- x + 2 = 0
- x – 2 = 0
- y + 2 = 0
- y – 2 = 0

**Q37. If the point (2, -1) lies on the graph of the equation 3x + ky = 4, then the value of k is**

- 1
- -1
- 2
- -2

**Q38. The point lying on the equation 2x – y = 5 is:**

- (2, -1)
- (6, 1)
- (-3, 1)
- (3, 4)

**Q39. For two lines 2x + y = 1 and x – y = 2 if the x coordinate of the common point is 1 what is the y coordinate?**

- 2
- 3
- -1
- -2

**Q40. The value of k if x = 2, y = 1 is a solution of equation 2x – k = – 3y is:**

- 7
- 6
- -7
- 5