Class 9 - Practice Level 3 – Linear Equations in two variables - set - 1

Total questions: 15

The line represented by the equation $ \displaystyle 3x-4y=12$ intersects the y-axis at which point?

Topic: Graphing Linear Equations

(0,-3)

(0,-4)

(0,3)

(0,-1)

None

Solve the system of equations: $ \displaystyle 2x+3y=7$ and $ \displaystyle 3x-4y=-6.$

Topic: Solving Systems of Equations

$ \displaystyle x=2,y=1$

$ \displaystyle x=2,y=-1$

$ \displaystyle x=-1,y=3$

$ \displaystyle x=1,y=-1$

None

Which of the following pairs of lines are parallel?

$ \displaystyle 2x+3y=5$ and $ \displaystyle 4x+6y=10$

$ \displaystyle 2x+3y=5$ and $ \displaystyle 2x-3y=5$

x-y=1 and x +y=1

$ \displaystyle 3x+y=4$ and $ \displaystyle y=-3x+4$

None

At what point do the lines $ \displaystyle x+2y=4$ and $ \displaystyle 3x-y=5$ intersect?

Topic: Finding Points of Intersection

(1,2)

(2,1)

(3,1)

(1,3)

None

Which of the following pairs of lines are perpendicular?

Topic: Perpendicular Lines

$ \displaystyle y=\frac{2}{3}x+1\text{ and }y=-\frac{3}{2}x+4$

$ \displaystyle y=2x+3\text{ and }y=-\frac{1}{2}x-1$

$ \displaystyle y=-x+1\text{ and }y=x-1$

$ \displaystyle y=x+2\text{ and }y=-x-2$

None

The lines $ \displaystyle 3x+4y=15$ and $ \displaystyle 4x-3y=-5$ intersect at:

Topic: Graphical Solutions

(1,3)

(0,4)

(1,2)

(3,0)

None

What is the equation of line passing through the points (2,-3) and (4,1)

Topic: Writing Equations

$ \displaystyle y=2x-7$

$ \displaystyle y=-2x+1$

$ \displaystyle y=2x+3$

$ \displaystyle y=-x-1$

None

What is the x-intercept of the line represented by $ \displaystyle 2x+5y=10$?

Topic: Identifying Intercepts

(5,0)

(2,0)

(0,5)

(0,2)

None

Which of the following lines is parallel to the line $ \displaystyle 4x-5y=20$?

Topic: Equations of parallel Line

$ \displaystyle 4x-5y=10$

$ \displaystyle 4x+5y=20$

$ \displaystyle 5x+4y=20$

$ \displaystyle 5x+4y=10$

None

10.

Which of the following points does not lie on the line represented by $ \displaystyle y=\frac{1}{2}x+3?$

Topic: Graphing Linear Equations

(2,4)

(4,5)

(0,3)

(6,4)

None

11.

At what point do the lines $ \displaystyle y=x+4\text{ and }y=x+4$ intersect?

Topic: Intersection of Lines

(5,9)

(2,5)

(3,1)

(1,2)

None

12.

What is the equation of a line passing through (1,1) with a slope of $ \displaystyle -2$?

Topic: Writing Equations

$ \displaystyle y=-2x+3$

$ \displaystyle y=-2x+1$

$ \displaystyle y=2x+1$

$ \displaystyle y=2x-1$

None

13.

Solve the system of equation: $ \displaystyle x+y=5\text{ and }2x-3y=-5.$

Topic: Solving Systems of Equations

$ \displaystyle x=2,y=3$

$ \displaystyle x=3,y=2$

$ \displaystyle x=1,y=4$

$ \displaystyle x=4,y=1$

None

14.

What is the slope of the represented by the equation $ \displaystyle 5x+2y=10$?

Topic: Identifying Slope

$ \displaystyle \frac{5}{2}$

$ \displaystyle -\frac{5}{2}$

$ \displaystyle \frac{2}{5}$

$ \displaystyle -\frac{2}{5}$

None

15.

Which of the following points lies on the line represented by $ \displaystyle y=-3x+2?$

Topic: Graphing Linear Equations

(1,-1)

(0,2)

(2,-4)

(3,-7)

None

1 out of 15

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Class 9 - Practice Level 3 – Linear Equations in two variables - set - 1

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