Question 1 :
Which of the following pair is a solution of the equation $2x - y = 7$?<br/>
Question 2 :
Solve the following equations for $(x+y)$<br/>$\sqrt {x + y} + \sqrt {x - y} = 4$, $x^{2} - y^{2} = 9$
Question 3 :
$5$ pencils and $7$ pens together cost Rs. $50$, whereas $7$ pencils and $5$ pens together cost Rs. $46$. The cost of one pencil is _____
Question 4 :
$x = 2, y = -1$ is a solution of the linear equation
Question 5 :
Write a linear equation in two variables to represent the following statement.In a one-day International cricket match between India and Sri Lanka, the two teams together scored 679 runs.
Question 7 :
State whether true or false.Power of variable in a simple linear equation is $1$.
Question 8 :
Mark the correct option in the following questions:Which of the following equations is not a linear equation?<br>
Question 9 :
If we write $\displaystyle 3x-7y=10$ in form of  $\displaystyle ax+by+c=0,$ then $a+b+c=$?
Question 10 :
Fill in the blank:<br>An equation in the form ax + by + c = 0 is called ____________ equation.
Question 11 :
If the line represented by the equation 3x + my = 8 passes through the points (2, 2), then the value of $m $ is<br/>
Question 12 :
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case$2x + 3y = 9. \overline{35}$
Question 14 :
If 1.5x = 0.04y then what is the value of$\displaystyle \frac{y-x}{y+x}$ ?
Question 16 :
The value of $x$ which satisfies the equation   $3(y - 8) + 3 (6x + 2) = 24 + 3y$   is
Question 17 :
In a caravan, in addition to 50 hens, there are 45 goats and 8 camels with some keepers. If the total number of feet be 224 more than the number of heads in the caravan, find the number of keepers.
Question 18 :
Two persons P and Q are start at the same time from city A for city B 60 km away P travels R kmph slower than Q Q reaches city B and AT once Turms back meeting P 12 km from city b What is speed of P ?<br>
Question 19 :
The cost of a note book is twice the cost of a pen. If the cost of a note book is $x$ and that of a pen is $y$ then a linear equation in two variable to represent is
Question 21 :
If $2y - x = 8$, and $3x - y = 1$, what is the value of $x$?
Question 22 :
Express the given information in mathematical form using two variables: The cost of two tables and five chairs is Rs. 2200.
Question 23 :
The mean number of students per classroom, y, at Central High School can be estimated using the equation y = 0.8636x + 27.227, where x represents the number of years since 2004 and $x\le 10$. Which of the following statements is the best interpretation of the number 0.8636 in the context of this problem?
Question 24 :
Which of the following equations has the vertex of $(3, -3)$?
Question 25 :
A linear equation in two variables has how many solutions ?
Question 26 :
A linear equation in two variable has .......... and its graph is a .......
Question 28 :
Father's age is $10$ more than twice age of his son. Write a linear equation to represent this statement
Question 29 :
The number of solutions which a linear equation in one variable has
Question 30 :
The point of the form $(a, -a)$ always lies on the line<br/>
Question 31 :
$(2p - 1, p)$ is a solution of equation $10x - 9y = 15$, find the value of $p$.
Question 32 :
The greatest positive integral value of $x$ for which $200-x(10+x)$ is positive is 
Question 34 :
Write the following equation in the form of $ax + by + c = 0$. $5x - 3y = 4$
Question 35 :
For the equation given below, the dependent and independent variables are$\displaystyle x = \dfrac{5y+3}{2}$<br/><br/>
Question 36 :
If $\dfrac {x}{3} = \dfrac {y}{2}$, which of the following is equivalent to $\dfrac {y}{3}$?
Question 37 :
Which of the following is a linear equation in one variable?
Question 40 :
The graphs of $2x + 3y - 6 = 0, 4x - 3y -6 =0, x = 2, and y = \dfrac{2}{3}$ intersect in:
Question 41 :
If $d_1$ is the distance between the lines $3x + 4y + 5 = 0$ and $6x + 8y + 20 = 0$, and $d_2$ is the distance between the lines $5x + 12y + 13 = 0$ and$10x + 24y + 52 = 0$, then$\dfrac{d_1}{d_2}$ equals.
Question 42 :
A biologist recorded $11$ snakes on $24$ acres in one area and $13$ snakes on $49$ acres in another area. Find a linear equation that models the number of snakes in $x$ acres.
Question 43 :
Which of the following is a linear equation in $2$ variables?
Question 45 :
Which of the following is not a solution of the equation $2x + y = 7$.<br>
Question 46 :
The government imposes two types of taxes on natural gas producers: a local impart fee, which is a flat tax paid per well drilled, and a severance tax, which is based on the market value of the total volume of gas extracted, $v$. If a producer's total bill for one well is $T = 0.004v + 50,000$, then the value $0.004$ represents
Question 47 :
If 2x - 3y = 7 and (a + b)x - (a + b - 3)y = 4a + b represent coincident lines then a and b satisfy the equation
Question 49 :
For what value of k, $x = 2\ and\ y = - 1$ is a solution of $x + y - k = 0$ :<br>
Question 50 :
Mohan's mother is six times as old as Mohan now, Five years after, she will be $20$ years older than Mohan. What are their present ages?
Question 51 :
In the system of equations $8x = 5y$ and $13x = 8y +1$, the values of, x and y which satisfy the given equations are
Question 52 :
A car averages $27$ miles per gallon. If the cost of the gas is $\$4.04$ per gallon, which of the following is closest to how much the gas would cost for this car to travel $2,727$ normal miles?
Question 53 :
If $\displaystyle x + y = \frac{7}{2}$ and $\displaystyle xy = \frac {5}{2}$; find $\displaystyle x - y$.
Question 54 :
Say true or false:The following equation is an example of a linear equation in two variables:$\displaystyle \frac{1}{x}+\frac{1}{y} = \frac{1}{7}$
Question 55 :
The equation of the lines through the point $(2,3)$ and making an intercept length $2$ units between the lines $y+2x=3$ and $y+2x=5$ are
Question 56 :
A shopkeeper gives books on rent for reading. She takes a fixed charge for the first two days, and an additional charge for each day thereafter. Latika paid Rs. $22$ for a book kept for six days, while Anand paid Rs. $16$ for the book kept for four days. Find the fixed charges and the charge for each extra day.<br/>
Question 58 :
A taxi driver charges for a ride at a rate of $2$ dollars for the first half mile and $75$ cents for each additional half mile. Which of the following expressions represents the total charge, in cents for $p$ miles, where $p$ is a positive integer? 
Question 59 :
If $f(x) = 5x - 3$ and $f(t) = 7, t=$
Question 61 :
Pagy went to a store to buy two kinds of tomatoes. She bought $5$ purple tomatoes for $ $1.20$ and $6$ green tomatoes for $ $1.80$. At home, Pagy put $3$ purple tomatoes and $4$ green tomatoes on a chair. What was the total cost in dollars of the tomatoes on the chair?
Question 62 :
Two men and $7$ children complete a certain piece of work in $4$ days while $4$ men and $4$ children complete the same work in only $3$ days. The number of days required by $1$ man to complete the work is
Question 64 :
If $\alpha$ and $\beta$ be the roots of the equation $x^2-2x+2=0$, then the least value of n for which $\left(\dfrac{\alpha}{\beta}\right)^n=1$ is :
Question 65 :
The price of a certain type of cherry can range from $\$2.50$ to $\$3.00$ per pound, and the price of a certain type of roll can range from $\$0.80$ to $\$1.10$ per dozen.To be sure of having enough money to buy $c$ pounds of these cherries and $r$ dozen of these rolls, a person needs at least how many dollars, in terms of $c$ and $r$?
Question 66 :
A part of the monthly expenses of a family is constant and the remaining varies with the price of wheat. When the price of wheat is Rs. $250$ per quintal, the total monthly expenses are Rs. $1000$ and when it is Rs. $240$ per quintal, the total monthly expenses are Rs. $980$ per quintal. The total monthly expenses of the family when the cost of wheat is Rs. $350$ per quintal, will be:
Question 68 :
Ross is hosting a lunch party. The catering company charge flat fee for serving the food plus a per person rate for the meals. If the total cost of lunch party is represented by the equation $y = 11x+300$, then the number of people attending the party is
Question 69 :
At a Petrol Station regular unleaded gas is being sold for $ $3.49$ a gallon and premium gas for $ $3.79$ a gallon. If a car wash is purchased, then a discount of $ $0.10$ per gallon is applied. During one morning, a total of $850$ gallons of gas was sold, and $100$ gallons were sold at the discounted rate. The total amount collected in sales was $ $3,016.50$. Find the appropriate mathematical expressions which yield the number of regular unleaded gallons of gas, $u$, and the number of premium gallons of gas, $p$, that were sold during that morning?
Question 72 :
$x(k+1)+y=0; y+2x=12$, find the value of k, which has no solution.
Question 73 :
The sales manager of a company awarded a total of $\$3000$ in bonuses to the most productive sales people. The bonuses were awarded in amounts of $\$250$ and $\$750$. If at least one $\$250$ bonus and at least one $\$750$ bonus were awarded, what is one possible number of $\$250$ bonuses awarded?
Question 74 :
A taxi driver charges for a ride at a rate of $2$ dollars for the first half mile and $75$ cents for each additional half mile. Which of the following expressions represents the total charge, in cents for $p$ miles, where $p$ is a positive integer? 
Question 75 :
Consider the equation:<br/>$\displaystyle y+7x=3x-2y+28$<br/>If $y = 2$, what is the value of $x$?
Question 76 :
The equation of a straight line parallel to y-axis and passing through the point $(-2, 5)$ is
Question 77 :
Indigo has standard fare system. It charges $\$25$ to check a bag and $\$15$ to upgrade to priority boarding. Given the condition Indigo collected $\$3,065$ in baggage and priority boarding fees from $145$ travel services on two flights. Determine the system of equations of bags $q$ and the number of priority boarding upgrades $b$ purchased on the two flights?<br/>
Question 78 :
For what values of $b$, the point $(2,2b)$ is on the line $x-4y=6$?
Question 81 :
$300$ works were engeged to finish a piece of work in a certain number pf days. $8$ workers dropped on the second day, $8$ more workersdropped the third day and so on. It takes $8$ more days to finish the work now. Find the number of days in which the work was completed.
Question 82 :
In a class the ratio of the number of boys to that of the girls is $7: 3$. Each boy is given only a $50$ paise coin and each girl is given a $75$ paise coin (assuming $75$ paise coins are available)  The difference in the amount present with the boys and the girls is Rs. $3.75$. How many coins should the boys and girls exchange so that the amount with the boys becomes twice the amount with the girls?
Question 83 :
Ravi distributed the chocolates with him equally between Rajesh and Suresh. He was left with a chocolate. Rajesh distributed his share equally among three of his friends and was also left with a chocolate. One of the three distributed his share equally among four of his friends and was left with no chocolate. Which of the following could be the number of chocolates that Rajesh received?
Question 84 :
The ratio of two numbers is $5:4$ and their sum is $54$. The greater of the two numbers is 
Question 86 :
The cost of using a telephone in a hotel meeting room is $ $0.20$ per minute. Which of the following equations represents the total cost $c$, in dollars, for $h$ <u>hours</u> of phone use?
Question 87 :
Find the value of<br>${ \left( \sqrt { { x }^{ 2 }-{ a }^{ 2 } } +x \right) }^{ 5 }-{ \left( \sqrt { { x }^{ 2 }-{ a }^{ 2 } } -x \right) }^{ 5 }$
Question 88 :
Total cost of $15$ erasers and $25$ pencils is Rs. $185$ and the total cost of $9$ erasers and $x$ pencils is Rs. $106$. Which of the following cannot be the value of $x$?
