Give the graphical representation of the following equation.
(a) On the number line and (b)On the Cartesian plane
(i) x = 3 (ii) y + 3 = 0 (iii) y = 4 (iv) 2x – 9 = 0
(v) 3x + 5 = 0

Solve the equation 3x +2 = 8x - 8 and represent the solution on (i) the number line (ii) the Cartesian plane

Give the graphical representation of 2x - 11= 0 as an equation in (i) one variable (ii) two variables

Write each of the following in the form of ax + by + c = 0 and find the values of a, b and c (i) x = -5 (ii) y = 2 (iii) 2x = 3 (iv) 5y = -3

Write each of the following in the form of ax + by + c = 0 and find the values of a, b and c (i) 2x = 5 (ii) y - 2 = 0 (iii) y/7=3 (iv) x= (-14)/13

Express each of the following equations in the form of ax + by + c = 0 and write the values of a, b and c. (i) 3x + 4y = 5 (ii) x - 5 = sqrt3y (iii) 3x = y (iv) x/2+y/2=1/6 (v) 3x - 7 = 0

Reduce the following equations into intercept form and find their intercepts on the axes. (i) 3x + 2y - 12 = 0 , (ii) 4x - 3y = 6, " " (iii) 3y + 2 = 0 .

Find three different solutions of the each of the following equations. (i) 3x + 4y = 7 (ii) y = 6x (iii) 2x - y = 7 (iv) 13x - 12y = 25 (v) 10x + 11y = 21 (vi) x + y = 0

Find the roots of the polynomial equations. (i) 5x-6=0 (ii) x+ 3=0 ( iii) 10 x+ 9=0 ( iv) 9x- 4=0

Reduce the following equations into slope - intercept form and find their slopes and the y-intercepts. (i) x + 7y = 0 , " " (ii) 6x + 3y - 5 = 0 , " " (iii) y = 0

Solve the following systems of equations : (i) x - 2y = 0 3x + 4y = 20 (ii) x + y = 2 2x + 2y = 4 (iii) 2x - y = 4 4x - 2y = 6