Class 10 Quiz Level 1 (Easy) – Pair of Linear Equations in Two Variables

Total questions: 30

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

Topic: Numbers of Solution

Deselect Answer

One

Two

Infinite

None

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

Topic: Intercept form

Deselect Answer

None

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

Topic: Constant Solution

Deselect Answer

None

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

Topic: Intersecting lines

Deselect Answer

One

Two

Infinite

None

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

Topic: Equation of a Line

Deselect Answer

𝑦 = 2𝑥

y = 𝑥 + 2

y = 2𝑥 + 1

y = 2𝑥 - 1

None

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

Topic: Solving by Substitution

Deselect Answer

None

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

Topic: Solving Linear Equations

Deselect Answer

None

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

Topic: Equation of a Line

Deselect Answer

𝑥 = 3

y = 2

y = 3𝑥 + 2

7y = -3𝑥 + 2

None

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

Topic: Checking Solution

Deselect Answer

(2, 1)

(0, 2.5)

(1, 1.75)

(1, 2)

None

10.

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

Topic: Finding Solution

Deselect Answer

(2, 0)

(0, 4)

(1, 4)

(2, 2)

None

11.

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

Topic: Slope of a Line

Deselect Answer

None

12.

If two are coincident , the corresponding equations will have :

Topic: Coincident Lines

Deselect Answer

One solution

Two solutions

Infinite Solutions

No solution

None

13.

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

Topic: X-Intercept

Deselect Answer

None

14.

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

Topic: Slope from Point

Deselect Answer

None

15.

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

Topic: Graph of Linear Equations

Deselect Answer

Circle

Parabola

Straight line

Hyperbola

None

16.

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

Topic: Equation of a Line

Deselect Answer

y = 4𝑥 - 2

y = 4𝑥 - 4

y = 4𝑥 + 2

y = 4𝑥 + 4

None

17.

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

Topic: Identifying Linear Equations

Deselect Answer

$ \displaystyle x+y=5$

$ \displaystyle 2x+3y=6$

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

$ \displaystyle x+2y=3$

None

18.

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

Topic: Intersection of Lines

Deselect Answer

Parallel

Perpendicular

Interesting at one point

Coincident

None

19.

The equation y = m𝑥 + c represents a:

Topic: Slope Intercept Form

Deselect Answer

Circle

Parabola

Straight line

Ellipse

None

20.

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

Topic: X-Intercept

Deselect Answer

None

21.

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

Topic: Perpendicular Slope

Deselect Answer

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

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

-3

None

22.

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

Topic: Solving by Substitution

Deselect Answer

None

23.

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

Topic: Y-Intercept

Deselect Answer

None

24.

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

Topic: Graph of a Line

Deselect Answer

Horizontal line

Vertical line

Slant line

Circle

None

25.

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

Topic: Substitution Method

Deselect Answer

None

26.

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

Topic: Perpendicular Lines

Deselect Answer

-3

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

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

None

27.

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

Topic: Solution of Linear Equations

Deselect Answer

(2, 1)

(0, 0)

(2, 2)

(1, 1)

None

28.

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

Topic: Solving by Elimination

Deselect Answer

𝑥 = 3, y = 2

𝑥 =2, y = 3

𝑥 = 4, y = 1

𝑥 = 1 y = 4

None

29.

Which of the following equations is in standard form?

Topic: Standard form

Deselect Answer

y =2x + 5

2x + 3 =y

3x-y + 2 = 0

y + 2x = 3

None

30.

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

Topic: Intersection Point

Deselect Answer

(3, 1)

(2, 2)

(1, 3)

(4, 0)

None

1 out of 30

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Class 10 Quiz Level 1 (Easy) – Pair of Linear Equations in Two Variables

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