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Test: Formation Of Linear Equations - Class 9 MCQ


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20 Questions MCQ Test - Test: Formation Of Linear Equations

Test: Formation Of Linear Equations for Class 9 2024 is part of Class 9 preparation. The Test: Formation Of Linear Equations questions and answers have been prepared according to the Class 9 exam syllabus.The Test: Formation Of Linear Equations MCQs are made for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Formation Of Linear Equations below.
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Test: Formation Of Linear Equations - Question 1

Geeta’s age is 3 years more than thrice m, the age of Meeta. Write an equation of first degree to display this information.

Detailed Solution for Test: Formation Of Linear Equations - Question 1

Let Geeta's age be G and Meeta's age be m. According to the given information:

  • Geeta’s age is 3 years more than thrice Meeta's age.

This can be written as the equation:

G=3m+3

This is a first-degree equation that represents the relationship between Geeta's and Meeta's ages.

Test: Formation Of Linear Equations - Question 2

Which of the following is not a linear equation?

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Test: Formation Of Linear Equations - Question 3

A linear equation in one variable is an equation of the form ………..

Detailed Solution for Test: Formation Of Linear Equations - Question 3

A linear equation is an equation of a straight line, written in one variable. The only power of the variable is 1. Linear equations in one variable may take the form a x + b = 0, ax+b=0, ax+b=0 and are solved using basic algebraic operations

Test: Formation Of Linear Equations - Question 4

The Equation y = – 5, in two variables can be written in the form of ax + by + c = 0 as​

Test: Formation Of Linear Equations - Question 5

Which of the following equations is linear equation in two variables?

Test: Formation Of Linear Equations - Question 6

The number of girls x in a class is 5 less than twice the number of boys y of the same class. The linear equation in two variables for this information is

Detailed Solution for Test: Formation Of Linear Equations - Question 6

Correct Answer :- a

Explanation : Let number of girls in class = x

Boys = 2y - 5

Equation will be : x + 5 = 2y

Test: Formation Of Linear Equations - Question 7

The speed x of train A is twice the speed y of the train B. Express this in the form of a linear equation.

Test: Formation Of Linear Equations - Question 8

The cost of a pencil is thrice the cost of rubber.The equivalent linear equation in two variables of above statement is:

Test: Formation Of Linear Equations - Question 9

The linear equation x = 5 can be written in two variables as:​

Test: Formation Of Linear Equations - Question 10

The equation  in two variables is expressed as:

Test: Formation Of Linear Equations - Question 11

Which of the following is a linear equation in one variable?

Detailed Solution for Test: Formation Of Linear Equations - Question 11

A linear equation with one variable consists of numbers or constants and multiplies of a variable. The standard form of such an equation is ax+b=0, where a and b are constants and x is the variable.
Hence, 2x+7=8  is a linear equation in one variable.

Test: Formation Of Linear Equations - Question 12

Which of the following is a linear inequality with two variables?

Detailed Solution for Test: Formation Of Linear Equations - Question 12

Test: Formation Of Linear Equations - Question 13

Which of the following is not a linear equation in one variable? (Consider a, b and c as constants and x as variable)

Detailed Solution for Test: Formation Of Linear Equations - Question 13

The general form of a linear equation in one variable is: ax+b=c where a and b are constants and x is a variable.

So, in a linear equation the degree is 1 i.e., highest power in the variable is 1.
But in ax4+bx2+c=0 highest power for x is 4. Hence, it is not linear.

Test: Formation Of Linear Equations - Question 14

The coefficients a,b, c in the following linear equation of the form ax + by + c = 0 is of the equation  are

Test: Formation Of Linear Equations - Question 15

If half of the cake is equal to the six pastries then the linear equation in two variables of above statement is expressed as

Test: Formation Of Linear Equations - Question 16

For an equation ax + by + c = 0 to be a linear equation,which one of the following conditions should be satisfied?

Test: Formation Of Linear Equations - Question 17

Which of the following is a linear equation in one variable?​

Test: Formation Of Linear Equations - Question 18

Which of the following is linear equation?

Test: Formation Of Linear Equations - Question 19

Difference between the cost of a carpet(C) and a durries(D) is Rs.200. If the carpet is the costlier one of the two, which of the following represents this information?

Detailed Solution for Test: Formation Of Linear Equations - Question 19

The difference in costs of two articles is 200 and since the carpet is more costlier than durry. So the equation will be C - D = 200

Test: Formation Of Linear Equations - Question 20

Four times B’s age exceeds A’s age by twenty years.

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