question paper of algebra

If f and g are two functions defined over same domain D, then we have certain set of identities which can be used for solving limits problems with variables like algebraic expression..

Question: Draw the graph of y=3. Answer: The graph of y = 3 is a line parallel to the x-axis. ..

Question: Draw the graph of x+4=0. Answer: ..

Question: Solve the following equation: 5x-(3x-1)=x-4 Answer: 5x-(3x-1)=x-4 5x-3x+1=x-4 2x-x=-4-1 x=-..

Question: Solve the following equation: Answer: 2x-(1-2x) = 5-3(1+x) 2x-1+2x = 5-3-3x 4x+3x = 5-3+1 7x=3 ..

Question: Find the values of a so that x=1, y=2 is a solution of: (a) 2x+ay=10 (b) ax+2y=6 (c) x+2y=a Answer: (a) 2x+ay=10, substitute x=1, y=2 2(1)+a(12) = 10 2+2a=10 2a=8 a=4 (b) ax+2y=6, substitute x=1, y=2 a(1)+2(2)=6 a+4=6 a=6-4 a=2 x+2y=a , substitute x=1, y=2 1+2(2)=a..

Question: Solve the following equation: Answer: ..

Question: Solve the following equation: Answer: 5(3x+5) = 2(2x-1) (by cross-multiplication) 15x-4x = -2-25 11x = -27 ..

Question: Solve the following equation: Answer: 54y-45=14 y 54y-14y=45 40y=45 ..

Question: Solve the following equation: Answer: By cross-multiplication, we get (8x-3) (x-2) = (4x+1) (2x+5) 8x(x-2)-3(x-2) = 4x(2x+5)+1(2x+5) ..