Class 10 Practice – Level 1 – Pair Of Linear Equations in Two Variables

Total questions: 40

Which of the following is a linear equations inn two variables ?

Topic: Basic Concept of Linear Equations

$ \displaystyle 2x+3y=6$

$ \displaystyle {{x}^{2}}+y=1$

$ \displaystyle 2x+{{y}^{2}}=7$

$ \displaystyle x+{{y}^{2}}=4$

None

Which of the following is a solution to the equation $ \displaystyle 3x-2y=4$ ?

Topic: Solution of Linear Equations

(2, 1)

(0, 0)

(2, 2)

(1, 1)

None

The graph of the equation $ \displaystyle x+y=3$ is a:

Topic: Graph of Linear Equations

Circle

Parabola

Straight line

Hyperbola

None

Which of the following equations is in standard form?

Topic: Standard form

y =2x + 5

2x + 3 =y

3x-y + 2 = 0

y + 2x = 3

None

If x = 1, then find the value of 'y' from the equation-y = 2x+ 3:

Topic: Substitution Method

None

How many solutions does equations 2x +3 y =6 have?

Topic: Numbers of Solution

One

Two

Infinite

None

If two lines interest at a point, how many solutions do the corresponding eqations have?

Topic: Intersecting lines

One

Two

Infinite

None

If two lines are parallel , the corresponding equations will have:

Topic: Parallel Lines

One solution

Two solutions

Infinite solutions

No solution

None

If two are coincident , the corresponding equations will have :

Topic: Coincident Lines

One solution

Two solutions

Infinite Solutions

No solution

None

10.

What is the equation of a parallel to the line $ \displaystyle x$ + 2y = 5 ?

Topic: Equation of a Line

$ \displaystyle x$ + 2y = 7

2$ \displaystyle x$ + y = 5

$ \displaystyle x$ + y= 2

2$ \displaystyle x$ + y =7

None

11.

If $ \displaystyle x+y=7\text{ and }x-y=3$ , what is the value of $ \displaystyle x$?

Topic: Solving by Substitution

None

12.

Which of the following is not a linear equation in two variables?

Topic: Identifying Linear Equations

$ \displaystyle x+y=5$

$ \displaystyle 2x+3y=6$

$ \displaystyle {{x}^{2}}+y=4$

$ \displaystyle x+2y=3$

None

13.

The point (2, 3) lies on the represented by which equation?

Topic: Graphical Representation

$ \displaystyle x+y=5$

$ \displaystyle x-y=1$

$ \displaystyle 2x+y=7$

$ \displaystyle 3x+y=8$

None

14.

The x- intercept of the line 3$ \displaystyle x$ + 4y = 12 is:

Topic: Intercept form

None

15.

Which of the following points is a solution to the equation 4𝑥 - y = 8?

Topic: Finding Solution

(2, 0)

(0, 4)

(1, 4)

(2, 2)

None

16.

Which of the following is not a possible value of 𝑦 = 3𝑥 + 5 when 𝑥 = 0?

Topic: Constant Solution

None

17.

For the equation 3𝑥 + 4𝑦 = 10, which point is not a solution?

Topic: Checking Solution

(2, 1)

(0, 2.5)

(1, 1.75)

(1, 2)

None

18.

The midpoint of the line segment joining (2, 3) and (4, 7) is:

Topic: Midpoint

(3, 5)

(2, 5)

(3, 4)

(4, 5)

None

19.

If the equation of a line is 2𝑥 +3𝑦 = 6, the slope of the line is :

Topic: Linear Pair

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

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

None

20.

For the equation 4𝑥 + 2y = 8 , if y = 0 , then the value of 𝑥 is :

Topic: Solving Linear Equations

None

21.

The equation of a line passing though the origin and having a slope of 2 is :

Topic: Equation of a Line

𝑦 = 2𝑥

y = 𝑥 + 2

y = 2𝑥 + 1

y = 2𝑥 - 1

None

22.

The x- intercept of the line 5𝑥 - 3y = 15 is :

Topic: X-Intercept

None

23.

The graph of equation y = -2𝑥 + 4 is a :

Topic: Graph of a Line

Horizontal line

Vertical line

Slant line

Circle

None

24.

The slope of a line perpendicular to the line with equation y = 3𝑥 - 7 is:

Topic: Perpendicular Lines

-3

$ \displaystyle \frac{1}{3}$

$ \displaystyle -\frac{1}{3}$

None

25.

Solve for y in the equation 2𝑥 + y = 9 if 𝑥 = 4.

Topic: Solving by Substitution

None

26.

What is the slope of the line passing through the points (1, 2) and (3, 6)?

Topic: Slope of a Line

None

27.

The equation y = m𝑥 + c represents a:

Topic: Slope Intercept Form

Circle

Parabola

Straight line

Ellipse

None

28.

Which of the following lines has a slope of -2?

Topic: Identifying Slope

y= -2𝑥 + 3

y= 2𝑥 - 3

y= 𝑥 - 2

y= -𝑥 + 2

None

29.

The point of intersection of the lines 𝑥 + y = 4 and 𝑥 - y = 2 is:

Topic: Intersection Point

(3, 1)

(2, 2)

(1, 3)

(4, 0)

None

30.

The equation of a line parallel to y = 4𝑥 + 1 is :

Topic: Equation of a Line

y = 4𝑥 + 3

y = -4𝑥 + 1

y = -2𝑥 + 1

y = 4𝑥 - 1

None

31.

Solve for 𝑥 and y from the equations 𝑥 + y =5 and 𝑥 - y = 1 .

Topic: Solving by Elimination

𝑥 = 3, y = 2

𝑥 =2, y = 3

𝑥 = 4, y = 1

𝑥 = 1 y = 4

None

32.

The slope of the line passing through (2, 4) and (4, 8) is:

Topic: Slope from Point

None

33.

What is the y - coordinate of the point on the line 3𝑥 + 2y = 12 when 𝑥 = 2?

Topic: Finding Coordinates

None

34.

If a line has a slope of 3 , what is the slope of a line perpendicular to it?

Topic: Perpendicular Slope

$ \displaystyle \frac{1}{3}$

$ \displaystyle -\frac{1}{3}$

-3

None

35.

The x- intercept of the line 7𝑥 - 4y = 14 is:

Topic: X-Intercept

None

36.

The equation of a line with slope 4 passing through the point (1, 2) is :

Topic: Equation of a Line

y = 4𝑥 - 2

y = 4𝑥 - 4

y = 4𝑥 + 2

y = 4𝑥 + 4

None

37.

The lines y = 2𝑥 + 3 and y = 2𝑥 - 1 are:

Topic: Intersection of Lines

Parallel

Perpendicular

Interesting at one point

Coincident

None

38.

The distance between the points (1, 2) and (4, 6) is :

Topic: Distance Between Point

None

39.

The equation of a line a with an undefined slope passing through the point (3, 2) is:

Topic: Equation of a Line

𝑥 = 3

y = 2

y = 3𝑥 + 2

7y = -3𝑥 + 2

None

40.

The y- intercept of the line 5𝑥 - 2y =10 is :

Topic: Y-Intercept

None

1 out of 40

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Class 10 Practice – Level 1 – Pair Of Linear Equations in Two Variables

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