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

Total questions: 25

The graph of which of the following equations will be a line parallel to the x-axis ?

Topic: Graphing Linear Equations

$ \displaystyle y=3$

$\displaystyle x=3$

$ \displaystyle y=3x+1$

$\displaystyle y=2x+5$

None

If $ \displaystyle 4x+y=13\text{ and }x-y=2$ , what are the values of $ \displaystyle x\text{ and y}$ ?

Topic: Solving Linear equation

$ \displaystyle x=3,\text{ y=1}$

$ \displaystyle x=2,\text{ y=3}$

$ \displaystyle x=4,\text{ y=2}$

$ \displaystyle x=5,\text{ y=1}$

None

At the point do the lines $ \displaystyle y=2x-1\text{ and}\ y=-3x+4$ intersect ?

Topic: Intersection of Lines

(1, 3)

(2, 5)

(3, 7)

(0, 1)

None

Which pair of equations represents parallel lines ?

Topic: Parallel Lines

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

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

$ \displaystyle y=x+4\text{ and }y=-x+4$

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

None

Which of the following pairs of lines are perpendicular ?

Topic: Perpendicular Lines

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

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

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

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

None

Which of the following points is a solution to the equation $ \displaystyle 2x-y=4$ ?

Topic: Identifying Solutions

(2, 0)

(1, 2)

(3, 3)

(0, 4)

None

What is the x- intercept of the line represented by $ \displaystyle 5x-3y=15$

Topic: Graphing

-3

-5

None

At the point do the line $\displaystyle y=5x+1\text{ and y}=-2x+8$ intersect ?

Topic: Intersection of Lines

(1, 7)

(2,10)

(0, 2)

(1, 3)

None

What is the slope of the line represented by the equation $ \displaystyle 6x-2y=12$ ?

Topic: Slope of a Line

-3

-6

None

10.

If $ \displaystyle 5x-3y=15\text{ and }x=3$ , what is the value of y ?

Topic: Solutions of Linear Equations

None

11.

What is the x - intercept of the line represented by $\displaystyle 7x+4y=28$ ?

Topic: Finding the x-intercept

-4

-7

None

12.

How many solution does the system of equation $ \displaystyle 3x-2y=5\text{ and 6}x-4y=10$ have?

Topic: Types of Solution

One

Two

Infinitely many

None

13.

Which of the following equation represented a line passing through the point (3, -2) with slope 4?

Topic: Equations of a Line

$ \displaystyle y=4x-14$

$ \displaystyle y=4x-10$

$ \displaystyle y=-4x-2$

$ \displaystyle y=4x-2$

None

14.

Solve the system of equations : $ \displaystyle 3x+2y=16\text{ and 2}x-y=-1$ ?

Topic: Solving Systems of Equations

$ \displaystyle x=4,y=2$

$ \displaystyle x=2,y=5$

$ \displaystyle x=4,y=1$

$ \displaystyle x=2,y=3$

None

15.

What is the slope of the represented by the equation $ \displaystyle 7x+3y=21$ ?

Topic: Slope-Intercept Form

$ \displaystyle \frac{-7}{3}$

$ \displaystyle \frac{7}{3}$

$ \displaystyle -\frac{3}{7}$

$ \displaystyle +\frac{7}{3}$

None

16.

Which of the following equations represents a line with slope 2 and passing through the point (1, -1)?

Topic: Equations of a Line

$ \displaystyle y=2x-3$

$ \displaystyle y=2x-1$

$ \displaystyle y=x-1$

$ \displaystyle y=-x-3$

None

17.

What is slope of the line represented by the equation $ \displaystyle y=\frac{3}{2}\text{ }x+5$ ?

Topic: Identifying Slope

$ \displaystyle -\frac{3}{2}$

$ \displaystyle \frac{3}{2}$

$ \displaystyle -\text{5}$

$ \displaystyle \text{5}$

None

18.

If $ \displaystyle 6x-3y=15\text{ and }x=\text{2}$ ,what is the value of y?

Topic: Solving Linear equation

-1

None

19.

What is the x - intercept of the represented by $ \displaystyle y=-4x+8$ ?

Topic: Graphing Linear Equations

-2

-8

None

20.

The lines represented by $ \displaystyle y=\frac{1}{3}x+2\text{ and }y=-3x+1$ are :

Topic: Parallel and Perpendicular Lines

Parallel

perpendicular

intersecting

coincident

None

21.

Which of the following points lies on the represented by $ \displaystyle 4x+3y=12$ ?

Topic: Identifying Graphs

(0, 4)

(1, 2)

(2, 0)

(1, 3)

None

22.

What is the equation of the line with slope 3 and y - intercept -4?

Topic: Writing Equations

$ \displaystyle y=3x-4$

$ \displaystyle y=-3x-4$

$ \displaystyle y=3x+4$

$ \displaystyle y=-3x+4$

None

23.

What is the slope of a horizontal line?

Topic: Slope of Horizontal Lines

$\displaystyle \infty $

None of the above

None

24.

Which point is not a solution of the equation $ \displaystyle 4x-3y=9$ ?

Topic: Identifying Solutions

(3, 1)

(0, -3)

(6, 5)

(1, 1)

None

25.

At what point do the lines $\displaystyle y=$$ \displaystyle 3x-1\text{ and }y=-\text{2}x+4$ intersect ?

Topic: Intersection of Lines

(1, 2)

(2, 7)

(3, 10)

(4, 13)

None

1 out of 25

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

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