Question 1 :
Equation $\dfrac{x}{5} - \dfrac{y}{3} = \dfrac{4}{5}$ can be expressed in the standard form as ................
Question 2 :
A person bought 5 tickers from a station P to a station Q and 10 tickets from the station P to a station R He paid Rs 350 If the sum of a ticket from P to Q and a ticket from P to R is Rs 42 then what is the fare from P to Q?
Question 3 :
If $\displaystyle \frac{(\sqrt{a}-\sqrt{b})^{2}+4\sqrt{ab}}{a-b}=\frac{5}{3}$ then the value of a : b is
Question 4 : <span>Write a linear equation in two variables to represent the following statement.</span><div>The age of Jenson is less than the age of Gibin <span>by 6 years</span></div>
Question 5 :
What is the solution of the equations x-y = 0.9 and 11$\displaystyle \left ( x+y \right )^{-1}=2?$
Question 6 :
The number of girls in a class is $5$ times the number of boys. Which of the following cannot be the total number of children in the class?
Question 7 :
When simplified $\left ( x^{-1} + y^{-1} \right )^{-1}$ is equal to:
Question 8 : <div><span>Father's age is $10$ more than twice age of his son. </span><span>Write a linear equation to represent this statement</span></div>
Question 9 :
Is $3x+4y=5,\, \, 2p+7q=8$ a system of linear equations in two variables? Explain .<br/><br/><b>Answer: </b>No, because variables are not same.<br/>
Question 10 :
The equation $\sqrt{a^{2} + b^{2}} =a+b$ is <span>a linear equation in 2 variables</span>
Question 11 :
<span>If we write $\displaystyle 3x-7y=10$ in form of $\displaystyle ax+by+c=0,$ then $a+b+c=$</span><span>?</span>
Question 12 : <span>Consider the equation:</span><br/><span>$\displaystyle y+7x=3x-2y+28$</span><div>Which of the following can be a solution to the equation ?</div>
Question 13 :
From a two digit number N, we subtract the number with the digits reversed and find that the result is a positive perfect cube. Then:
Question 14 :
There are some lotus flowers in a pond and some bees are hovering around. If one bee lands on each flower, one bee will be left. If two bees land on each flower, one flower will be left. Then the number of flowers and bees respectively are __________.
Question 15 : <span>Write a linear equation in two variables to represent the following statement.</span><div>Two numbers are such that $2$ times of one <span>is same as $3$ times of the other.</span></div>
Question 16 :
The poverty line in Dinanagar is set at Rs.$100$ per capita per day. Five hundred people live in Dinanagar of whom $50$ earn Rs.$30$ per capita per day and another $25$ earn Rs.$80$ per capita per day each.<br>Everybody else earn more than Rs.$100$ per day per capita. What is the minimum amount that the government of Dinanagar will have to spend to completely eradicate poverty
Question 19 :
The condition that the equation $ax + by + c = 0$ represent a linear equation in two variables is :<br>
Question 20 :
<span>Cost of one apple is 3 times the cost of an orange. </span>Write a linear equation for the statement.
Question 21 : <span>Express the given information in mathematical form using two variables:</span><div>One number is 5 more than seven times the other number.</div>
Question 22 :
The value of $x$ and $y$ respectively in the simultaneous equations<br>$2x - \frac{3}{y} = 12$ and $5x + \frac{7}{y} = 1, y \neq 0$ is<br>
Question 23 :
In the given equation<br><span>$\displaystyle a=\frac { 2 }{ 3 } b+5$<br></span>It is linear equation in ....... variables.
Question 24 :
A train travelling with constant speed crosses a 96 metres long platform in 12 seconds and another 141 metres long platform in 15 seconds. The length of the train and its speed are
Question 25 :
If $x+y=0$, which of the following must be equivalent to $x-y$?
Question 26 : <span>Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case</span><div>$2x + 3y = 9. \overline{35}$</div>
Question 28 :
<span>If we write $\displaystyle 3x-7y=10$ in form of $\displaystyle ax+by+c=0,$ then $c=$</span><span>?</span>
Question 29 :
Mark the correct option in the following questions:<span>Which of the following equations is not a linear equation?</span><br>
Question 31 :
If $\displaystyle \frac{x}{y} = \frac{4}{3}$ then $\displaystyle \frac{x^2 + y^2}{x^2 - y^2}$ is---
Question 32 : <div><span>State TRUE or FALSE</span><br/></div>One number is 5 more than seven times the other number.it can be represented by $x\, -\, 7y\, =\, 5$. <br/>
Question 33 :
<span>If we write $\displaystyle 3x-7y=10$ in form of $\displaystyle ax+by+c=0,$ then $b=$</span><span>?</span>
Question 35 :
Age of $x$ exceeds the age of $y$ by 7yrs. This statement can be expressed as the linear equation as :<br/>
Question 37 :
A two digit number is such that product of its digit is 18 When 63 is subtracted from the number the digit interchanged their place Find the number
Question 38 :
If $(x, y) = (4, 1)$ is the solution of the pair of linear equations $mx + y = 2x + ny = 5$, then what is $m + n$ equal to?
Question 41 :
If x=2t and y=$\displaystyle \frac{t}{3}-1$ then the valuer of 't' for which x=2y is
Question 42 :
If $\dfrac {x}{3} = \dfrac {y}{2}$, which of the following is equivalent to $\dfrac {y}{3}$?
Question 43 :
Gopaiah sowed wheat and paddy in two fields of total area $5000$ square meters. Write a linear equation
Question 44 :
The cost of a rental car from BaTaS Auto is a one-time payment of $ $40$, plus $ $80$ per day for each day that the car is rented. If a car is rented for $d$ days, which of the following functions $f$ models the total cost in dollars to rent the car?
Question 45 : <div>Is the following equation linear in two variables?</div>$\displaystyle \frac{4}{x} + 3y = 14$
Question 46 :
How many solution does a linear equation in two variables have?
Question 48 : The expression for the statement:<div> $15$ taken away from the product of $x$ and $y$ is</div>
Question 49 :
A train 110 metres long is running with a speed of 60 km/hr. In what time it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Question 50 :
A machine takes 2litres of petrol to start and then 3 litres per hour while running.If the equation thus formed is of the form of ax+by+c=0 .What is the value of $a$ when linear equation is written as $\displaystyle ax+by+c=0$
