Class 9 - Practice Level 3 - Linear Equations in Two Variables - Set 2

Total questions: 15

At what point do the lines $ \displaystyle 2x+y=6\,\text{and }x-\text{ y}=2$ intersect?

Topic: Intersection of Lines

(3, 0)

(1, 4)

(2, 0)

(3, 1)

None

What is the equation of a line passing through (2, 1) and parallel to the line $ \displaystyle y=3x+4$ ?

Topic: Writing Equations

$ \displaystyle y=3x-5$

$ \displaystyle y=3x-4$

$ \displaystyle y=3x+1$

$ \displaystyle y=-3x+1$

None

Which of the following points is a solution to the equation $ \displaystyle 4x-3y=9$ ?

Topic: Identifying Solutions

(3, 1)

(1, 2)

(2, 0)

(0, 3)

None

Solve the system of equation $ \displaystyle x-2y=1\,\text{and 2}x+\text{ y}=7$

Topic: Solving Systems of Equations

$ \displaystyle x=2,y=1$

$ \displaystyle x=3,y=1$

$ \displaystyle x=1,y=2$

$ \displaystyle x=2,y=3$

None

What is the y - intercept of the line represented by $ \displaystyle 3x+4y=12$ ?

Topic: Graphing Linear Equations

-3

None

Which of the following lines is parallel to the line $ \displaystyle y=-\frac{1}{2}\text{ }x+3,$ ?

Topic: Identifying Parallel Lines

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

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

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

$ \displaystyle y=-2x+3$

None

What is the equation of the line passes through the points (3, 7) and (6, -2) ?

Topic: Finding the Equation of a Line

$ \displaystyle y=-3x+16$

$ \displaystyle y=3x-16$

$ \displaystyle y=-3x+7$

$ \displaystyle y=3x+7$

None

Solve the system of equations $ \displaystyle 2x+3y=-13\text{ and -3}x-y=2$ ?

Topic: Solving Systems of Equations

$ \displaystyle x=1,y=-5$

$ \displaystyle x=4,y=1$

$ \displaystyle x=2,y=3$

$ \displaystyle x=1,y=2$

None

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

Topic: Identifying Intercepts

(2, 0)

(5, 0)

(10, 0)

(0, 5)

None

10.

What is the slope of the line passing through the points (2, 3) and (5, 7) ?

Topic: Slope of a Line

$ \displaystyle \frac{3}{4}$

$ \displaystyle \frac{4}{3}$

None

11.

If $ \displaystyle 6x-4y=8\text{ and }y=\text{2}x-1$, find the value of $\displaystyle x\text{ and }y$

Topic: Solving Linear equation

$ \displaystyle x=-2,y=-5$

$ \displaystyle x=3,y=2$

$ \displaystyle x=1,y=1$

$ \displaystyle x=2,y=1$

None

12.

Which of the following points lies on the line represented by $ \displaystyle y=3x-4$?

Topic: Graphing Linear Equations

(1, 1)

(2, 2)

(3, 6)

(4, 12)

None

13.

At what point do the lines $ \displaystyle y=-x+5\,\text{and }y=2x-1$ intersect ?

Topic: Intersection of Lines

(1, 2)

(2, 3)

(3, 4)

(4, 5)

None

14.

What is the equations of a line passing through (1, -1) with a slope of 2?

Topic: Writing Equations

$ \displaystyle y=2x-3$

$ \displaystyle y=2x-1$

$ \displaystyle y=x-1$

$ \displaystyle y=x+3$

None

15.

What is the slope of the line represented by the equation $ \displaystyle 4x+2y=8$ ?

Topic: Identifying Slope

-2

$ \displaystyle \frac{1}{2}$

$ \displaystyle -\frac{1}{2}$

None

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Class 9 - Practice Level 3 - Linear Equations in Two Variables - Set 2

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