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Syllabus

The taxi fare in a city is as follows: For the first kilometer, the fare is Rs. 8 and for

the subsequent distance it is Rs. 5 per km. Taking the distance covered as x km

and total fare as Rs. y, writes a linear equation for this information

Draw the graphs of the equations x + y = 6 and 2x + 3y = 16 on the same graph paper. Find the coordinates of the points where the two lines intersect

cost of 7 pens and 8 pencils is Rs 87,cost of 6 pens and 4 pencils is Rs 66.find the cost of 1 pen and1 pencil frpm the graph.

a railway half ticket costs half the full fare and the reservation charge is the same on half ticket as on full ticket. one reserved first class ticket from mumbai to ahmedabad costs Rs. 216 and one full and one half reserved first class tickets cost Rs. 327. what is the basic first class full fare and what is the reservation charge.

if a

^{x }=b , b^{y }=c , c^{z }=a then prove that xyz=1Please find this question...

draw the graphs of the equations x-y=1 and 2x+y=8.Shade the area bounded by these two lines and y-axis.Also,determine this area.

a) Writ the quadrant in which the line segment intercepted between the axes lie.

b) shade the region formed by the line and the axes.

c) Write the vertices of the triangle so formed.

express y in the terms of x in equation 2x-3y=12.find the points where the lines represent by the equation cuts x-axis and y-axis

the ratio of income of two persons is 9:7 and the ratio of their expenditure is 4:3.if each of them manages to save Rs.2000 per month, find their monthly income.find the value of k, if x = -k and y = 5/2 is a soluiton of the esquaiton x + 4y -7 =0

the parking charges of a car on New Delhi railway station for first 2 hours is Rs 50/- and Rs 10/-for subsequent hours.write down a equation & draw the graph of this data.Read the charges from the graph.

1)for 1 hour 2)for 3 hours 3) for 6 hours

write the equation of line which is parallel to x-axis and is at a distance of 3 units below origin. also draw its graph.

if x=2y+6,then find the value of

^{x3}-^{8y3-36xy-216}DRAW THE LINES X=4 AND Y=2 AND X=Y ON THE SAME GRAPH PAPER AND THEN IDENTIFY WHAT TYPE OF FIGURE IS OBTAINED? ALSO WRITE THE POINT OF VERTICES OF THE FIGURE SO FORMED

PLEASE ANSWER THIS QUESTION AS FAST AS POSSIBLE

HALF THE PERIMETER OF A GARDEN, WHOSE LENGTH IS 4m MORE THAN ITS WIDTH IS 36m. FIND THE DIMENSION OF GARDEN.

Answer the questions now -

There are two formulae you can use to calculate the number of apple trees and the number of conifer

trees for the pattern described on the previous page:

Number of apple trees = n2

Number of conifer trees = 8n

where n is the number of rows of apple trees.

There is a value of n for which the number of apple trees equals the number of conifer trees. Find the

value of n and show your method of calculating this.

Draw the graphs of following equations on the same graph sheet:

x-y=0, x+y=0, y+5=0

Also, find the area enclosed between these lines.

give the equations of 2 lines passing through (2,14).how many more such lines are there and why?

Thsi distance between the graph of the equation x = -3 and x = 2 is what

draw the graph of the linear equation 3x +4y =6 .at what points,the graph cut the x-axis and the y-axis.

the ratio of girls and boys in a class is 1:3. Set up an equation between students of a class and boys then draw its graph. Also find the number of boys in a class of 40 students from the graph

The following observed values of x and y are thought to fulfil the law y=ax+b

Find the values of a and b.

x 1 2 -3 0 5

y 12 19 -16 5 40

draw the graph of 2x+y=6 and 2x-y+2=0.shade the regions bounded by these lines at x axis.find the area of shaded region.

the graph of y=6 is a line

a) parallel to x-axis at a distance of 6 units from origin

b) parallel to y-axis at a distance of 6 units from origin

c) making an intercept 6 on x-axis

d) making of intercept 6 on both sides

The auto fare in a city is as follows -

For the first 4 km the fare is rs30 and for the subsequent distance it is rs5 per km. Taking the distance covered as x km and total fare as rs y. write a linear equation for this information and draw the graph.

Draw the graph of 3x - 2y + 6=0 and x +2y -6 =0 in a graph paper and find the area is the triangle formed by these two lines and the x-axis

Solve the equation 2x+1=x-3, and represent the solution(s) on

i) the number line

ii) the cartesian line

Outcomes 1 2 3 4 5 6

Frequency 34 50 16 71 24 30

Find the probability of getting a prime number

Give the geometric representations of 2

x+ 9 = 0 as an equation(1) in one variable

(2) in two variables

Draw the graph of the equation 2y - x = 7 and determine from the graph if x = 3 , y = 2 is its solution or not .

If the work done by a body on application of a constant force is directly proportional to the distance travelled by the body, express this in the form of an equation in two variables and draw the graph of the same by taking the constant force as 5 units. Also read from the graph the work done when the distance travelled by the body is

(i) 2 units (ii) 0 units

express x=3y in the form ax+by+c=0 and indicate the values of a,b and c . write two solution of the equation

"Two years later a father will be 8 years more than three times the age of the son "Taking the present age of father and son as x and y respectively. Write a linear equation for teh above.Find the age of the father when son is 10 years old

Solve the Equation 3(x + 2) = 2(2x -1) and represent the solution on:

(i) The number line.

(ii) The Cartesian Plane.

Express

in terms ofx, given that 3y+ 4x= 6. Check whether the point (3,2) is on the given line.ythe graph of equation y=mx+c passes through the origin

TRUE OR FALSE with EXPLANATIONFor what value of c, the linear equation 2x + cy = 8 has equal values of x and y for its solution.

find the coordinates of the points where the line represented by the equation 5y- 3x-10=0 cuts the two axes

draw the graph of the equation 3x+4y=18 with the help of the graph find the value of if when x=2 and the value of x when y=4.5 show these points on the graph

find the four solutions of each of the following equations (a )4x-5y=20 (b) 3x+7y=-5

draw the graph of y=2x+4 use the graph to find the area between the line and the two axes

find the value of k if x=-1 and y=-2 is a solution of the equation 3x-5ky+4k=0 then find one more solution of this equation

if the point (2,-5)lies on the graph of the equation 2ax-y=1 find the value of a is (-2,3) a solution of this equation

the auto fare in a city isas follows for the first 2kmit is rs25 and for the subsequent distance it is rs 10/km taking the total distance covered as xkmand the total fare as rsy write a linear equation for this information also, calculate the total fare that a customer will have to pay for covering a distance of 20 km

solve the following equations for x

(a) 8(x-3)-(6 -2x) =2 (x+2)-5 (5-x)

(b)14x- (5x-9)-{4-3x-(2x-3)}=30

(c) 2x-3/5 +x+3/4 =4x+1/7

(d)6 (x²-3x+2) -2 (x²-1) =4 (x+1) (x+2) -24

(e) (x-1)/3-(4x+1)/ 4 =1/12

(f) 5x-5/4x+7 =5x-31/4x-23(x = -7/4, 23/4)

represent the following equations as one variable on number line and as two variables on the graph

(a) 2x-8=4-x

(b)3y-9=0

Two places A and B are 120 km apart from each other on a highway. A car starts from A and another from B at the same time. If they move in same direction, they meet in 6 hours and if they move in opposite directions, they meet in 1 hour and 12 minutes. Find the speed of the cars.

Does the graph of this linear equation pass throug origin? give your answer in yes or no

bx + ay = 1+ c

Q-1 On sellinga T.V. at 5% gain and a fridge at 10% gain , a shopkeeper gains Rs 2000.

But if he sells the T.V. at 10% gain and the fridge at 5% loss . He gains Rs 1500 on the transaction .

Find the actual price of T.V and fridge.

difference in the volumes of white and red paintsused ?a. (3 - 1) * 9.6

b. (3 - 1) / 9.6

c. [(3 + 1) / 6 ] * 9.6

d. [(3 - 1) / 6 ] * 9.6

ravish tells his daughter aarushi,seven years ago , i was seven times as old as you were then.also,three years from now , i shall be three times as old as you will be'.if present ages of aarushi and ravish are x and yyearsrespectively,represent this situation algebraically and graphically.

1. Father's age when mona is 25 hears old

2. Mona's age when father's age is 40 years

Draw the graphs of the following equations on the same graph x=4,x+5=0,y=2,y-1=0

also,find the area enclosed between these lines.

Kavita and Ruchi , two students of a school contributes to charity . The contribution of kavita is one third of the contribution of Ruchi . Write a linear equation according to the above statement .

2 men and 5 boys can finish a piece of work in 4 days,while 3 men and 6 boys can finish it in 3 days. find the time taken by one man alone to finish the work and that taken by one boy alone to finish the work.

draw the graph of the equation 3x+2y=12 at what points does the graph cut the x-axis and the y-axis?

A LENDING LIBRARY HAS A fixed charge for the first three days and an additional charge for each day there after.arushi paid 27 for a book kept for 7 days. if fixed charges are x and additional charges are y write the linear equation representing the given information and plot the graph for the same.

Draw graph of the equation 2x+3y-6=0.

(i) From graph determine whether x=3 and y=0 is a solution

(ii) Find value of y if x= -3

(iii) Find x if y= -2 from graph and verify.

give the equation of two lines passing through (-3,4). how many such lines are possible?

The sum of a two digit number and the number obtained by reversing its digits is 121.If units and ten's digit of the number are x ad y respectively, then write the linear equation representing the above statement.

In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius:

(i) Draw the graph of the linear equation above using Celsius for

x-axis and Fahrenheit fory-axis.(ii) If the temperature is 30°C, what is the temperature in Fahrenheit?

(iii) If the temperature is 95°F, what is the temperature in Celsius?

(iv) If the temperature is 0°C, what is the temperature in Fahrenheit and if the temperature is 0°F, what is the temperature in Celsius?

(v) Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it.

Draw the graph of the line 2x+3y=6 on the graph paper.Write the sum of the intercepts cut by this line on two axes.

I need the answer for this quetion:

Give the geometric representation of 2x+9=0 as an equation : a) in one variable b) in two variable .

Shade the triangle formed by the graphs of 2x-y=4 and x+y=2 and the y-axis. Write the vertices of the traingleCan smone plz answer it wid a figure plzwrite a linear equation in 2 variables for the following

"Cost of 4 cricket bats exceed the cost of 10 balls by Rs. 1500" draw the graph and find the cost of 1 bat if the cost of one ball is Rs 250.

A and B are friends and their ages differ by 2 years. A's father D is twice as old as A and B is twice as old as his sister C. the age of D and C differ by 40 years. find the ages of A and B.

determine the point on graph of linear equation 2x+5y=19, whose ordinate is1 1/2 times its abscissa.

The taxi fare in a city is as follows: For the first kilometre, the fares is Rs 8 and for the subsequent distance it is Rs 5 per km. Taking the distance covered as

xkm and total fare as Rsy, write a linear equation for this information, and draw its graph.A grocer buys 10 eggs for Rs.8,set up a linear equation with x representing the number of eggs and y representing the total cost in Rs. By reading the graph find :

1.The cost of 15 eggs

2.number of eggs for Rs.16

if in a rectangle, the length is increased and breadth reduced each by 2 units, the area is reduced by 28 sq. units. if however the length is reduced by 1 unit and the breadth increased by 2 units, the area increases by 33 square units. find the area of the rectangle.

Write each of the following equation in two variables.

a) x = -3

b) y = 7

c) y = 8

where will we use linear eq in 2 variables in our daily life

Solve for x and y.

35/x+y+14/x-y=1914/x+y+35/x-y=37if root 3x = root 2x +1, find the value of x.

if(2,3) and (4,0) lie on the graph of equation ax+by=1. find the value of a and b and plot the graph of the equation obtained

Find The Equations Of Any Two Lines Passing Through The Point (-1,2). How Many Such Lines Are There?

Force applied on a body is directly proportional to the acceleration produced in the body.Write an equation to express the situation and plot the graph of the equation taking the constant to be 5 units.

show that the points A(1,2), B(-1,-16) and C(0,-7) lie on the graph of the linear equation y=9x-7.

The graph of every linear equations in two variables need not to be a line. Is it true ? Juatify your answer.

if the point [3,4] lies on the graph of the equation 3y=ax+7. find the value of a.

find four solution of 2x-3y=6 ?

Draw a triangle whose sides are represented by x = 0, y = 0, and x + y = 3

The number of eggs needed to make a cake varies directly as the number of cups of flour used. To make a cake, a chef used 2 cups of flour and half a dozen of eggs. Write an equation and draw the graph of the egg-four relation.

The three wheeler scooter charges Rs 10 for the first km & Rs. 4.50 each for every subsequent km. For a distance of x km, an amount of Rs.y is paid. Write linear eqn representing above information?