Linear Equations in Two Variables

Which of the function(s) above are linear?

• Function I, only

• Function II, only

• Function I and Function II, only

• Function I, Function II, and Function III

Which equations represent linear functions?

• Equations 1 and 2, only

• Equations 1 and 4, only

• Equations 2 and 3, only

• Equations 1, 3, and 4, only

The equation y = 3x + 5 has _____

• A unique solution

• Only two solutions

• Three solutions

• Infinitely many solutions

The graph of the linear equation 2x + 3y = 6 cuts the y - axis at the point _____

• (2 ,0)

• (0 ,3)

• (3 ,0)

• (0, 2)

If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation____

• Changes

• Remains the same 

• Changes in case of multiplication only

• Changes in case of division only

Which equation represents the following graph?

• y = 3x + 2

• y = -2x + 3

• y = 2x + 3

• y = -3x + 2

The graph of linear equation x + y = 2, cuts the y-axis at:

• a. (2,0)

• b. (0,2)

• c. (0,1)

• d. (1,1)

If (2 ,0) is a solution of the linear equation 2x + 3y = k, then the value of k is_____

• 4

• 5

• 6

• 2

The graph of the line x = 6 is a line___

• parallel to x -axis at a distance of 6 untis from origin

• parallel to y-axis at a distance of 6 units from the origin

• making an intercept 6 on the x-axis

• making an intercept 6 on both the axis

The solution of equation x-2y = 4 is:

• (0,2)

• (2,0)

• (4,0)

• (1,1