Linear Equation Test

Create an academic illustration featuring linear equations, graphs, and mathematical symbols in a colorful and engaging style.

Linear Equation Challenge

Test your knowledge and skills with our engaging Linear Equation Challenge! This quiz consists of carefully curated questions designed to assess your understanding of linear equations, their solutions, and their applications.

Whether you are a student, a teacher, or simply someone looking to brush up on your math skills, this quiz is perfect for you! You will find:

Multiple choice questions
Real-world applications
Challenging problems to stimulate your thinking

21 Questions5 MinutesCreated by SolvingMath42

The value of k for which the system of equations kx+2y=5, 3x+4y =1 has no solution is

2/3

3/2

The value of k for which x+2y+7 =0 and 2x+ky +14 =0 will have infinite solutions is

If √a x - √b y = b –a, √b x - √a y = 0, then xy is equal to

A + b

A – b

�ab

-√ab

The value of k for which 2x+3y-5 = 0 and kx – 6y -8 = 0 has a unique solution is

k≠-4

K≠6

K≠2

K≠-1

The system of linear equations x = 3y + 5 and 9y = 3x – 15 is

Consistent

Inconsistent

Consistent but dependent

Inconsistent but dependent

If x + 2 is a factor of x³ +9x² + bx – 18 and a –b =7 then the values of and b are

A=5 , b=12

A = -5 , b = 12

a = 12 b = - 5

a = 12 , b = 5

The value of k if 3x – y + 8 = 0 and 6x + ky = -16 represent coincident lines is

-3

-2

Two numbers are in the ratio 5 : 6 . If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5. The numbers are

40,48

48,40

-40,48

48,-40

15 years hence a man will be just 4 times as old as he was 15 years ago. His present age is

25 yrs

20yrs

15yrs

10yrs

A number consists of two digits whose sum is 15. If 9 is added to the number, the digits change their places. The number is

The length and the breadth of a rectangular plot are in the ratio 7 : 5. If the length is reduced by 5 metres and the breadth is increased by 2 metres, then the area is reduced by 65 sq,m The length and breadth of the plot area

25, 35

21, 35

35 , 25

49 , 35

In 2 numbers , if 3 is added to each number then their ratio is 1 : 2. However if 3 is subtracted from each number, then their ratio is 2 : 5. One of the numbers is

3 chairs and a table cost Rs.900 and 5 chairs and 3 tables cost Rs.2100, then the cost of a table and 5 chairs is

Rs.1000

RS.1100

Rs.1200

RS.1300

ABCD is a rectangle in which AB = x + 3y BC = 7, CD = 13 and AD = 3x + y. The value of x and y is

1,4

4, 1

2,4

4,2

x – y = 0.9 : 11/(2(x+y)) = 1, hence x and y are

( 3.2, 2.3 )

( 2.3, 3.2 )

( - 2.3, 3.2 )

( 2.3 – 3.2)

The sum of 2 numbers is 18.The sum of their reciprocals is ¼. Then the numbers are

12, 6

14, 4

10, 8

13, 5

The difference of 2 numbers is 4 and the difference of their reciprocals is 4/21. Then the numbers are

7, 3

8,4

9,5

-3,-7

ABCDE is a pentagon with BE II CD : BC II DE. Also AB = 3cm , BC = x – y , CD = x + 5 , AE = 3cm , BE= 5cm. If the perimeter is 21cm ,then x and y are

5,0

0, -5

2,3

4,1

47x + 31y =63 and 31x + 47y =15, then x and y are

2,1

2,-1

-2,1

-2,-1

If a pair of linear equations have no solutions, then, the graph representing the two equations will show

Intersecting lines

Parallel lines

Coincident lines

None of the above

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