The City SchoolPrep Girls North Nazimabad

Mathematics Class 8 Chapter: GraphsObjectivesFill in the blanks:

1. ___________ axis is called horizontal axis.2. ___________axis is called vertical axis.3. For plotting the point, we need _____________.4. A point where two lines are meeting is called _________________.5. A ratio of vertical change to horizontal change is _______________.6. Measure of steepness is ______________.7. If the line _________from ____________ to ___________ the gradient will be

positive.8. If the line __________ form ____________ to ____________ the gradient will be

negative.9. If lines are parallel there is _____________solution set.10.If lines are overlapping each other there is _______________ solution.11.Coordinates of origin are _________________.12.A plane which is used to draw a graph is called ________________.

Short answers:

1. What is the equation of straight line that passes through origin?2. What is the equation of straight line that does not pass through origin?3. What is the equation of horizontal line?4. What is the equation of vertical line?5. What is ‘m’ and ‘c’ if equation of line is y= mx + c?6. Write down the equation of line that lie on following points.

a. (3 , 9) (1.5 , 9) (-4, 9) (0 , 9) b. (3 , -9) (3 , 2) (3, 0) (3 , -4)

7. draw the graph and also write coordinates of

a. x = -6 b. y = 3.5

Solve the following simultaneous linear equations by graphical method.

a. x - y =3, 4x - 4y = 12 b. 3x + 2y = 5, 7x + 2y = 9

c. 3x + y =5, 3x + y =2

Draw the graph of each of the following equations on the same graph. Identify the shape and write down the coordinates of the vertices of figure

y= -2 y=1 y=3x-2 y=3x +4

Q Write equations of the following lines:

ALGEBRA EXPANSIONQ1. Expand the following

a) ( x+2 )(x−3)b) (k+7 )(k−1)c) (m−5 )(m−2)d) (a+3b )(2a−b)e) (3 x−5 y ) (3 x+4 y )f) (6 p−2q ) (4 p−q )g) (5 x2−3 x−2 )(x+1)h) (3 x2+ x−4 )(x−4)

i) (2 x+3 )(x2+4 x−1)j) ( x+3 )(x2−2 x+6)k) ( 4 x2+x−3 )(x−7)l) ( 4 x2−x+5 )(x−6)

Q2. Expand by using algebraic identities

a) (x+3 y)2

b) (4m−5)2

c) (3+4k )2

d) (5c−2c )2

e) (7a+2b)2

f) (8k−1)2

g) (6a−3b )(6a+3b)h) (2k+5 l )(2 k−5 l)i) (7 x+8 )(7 x−8)j) (4 c−5d )(4c+5d)

Q3. Evaluate by using algebraic identities

a) 2032

b) 4052

c) 6982

d) 4962

e) 5042

f) 7992

g) 602×598h) 703×697i) 1001×999j) 801×799k) 382+152+4l) 592+118+1m) 882+352+4n) 432−258+9