sample questions for intermediate algebra

An algebraic identity is a statement of equality between two algebraic expressions, but it is satisfied for all values of the variabl..

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Question 21 - Question: Solve graphically: 3x + y + 1 = 0 and 2x - 3y + 8 = 0. Answer: a) 3x + y + 1 = 0 y = -3x - 1 b) 2x - 3y + 8 = 0 3y = 2x +..

Mixture problems are the types of words problems where the values of different quantities are mixed. The procedure to solve the mixture problem is shown with an examp..

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: Draw the graph of 3x-2y=9. Answer: ..

Question: Use a graph paper for this question. Draw the graphs of 2x-y-1 = 0 and 2x + y = 9 on the same axes. Use 2cm = 1unit on both the axes and plot only three points per line. Write down the co-ordinates of the point of intersection of the two lines. Answer: 2x -..

Question: Which of the following equations have x=2, y=3 as solution ? (a) 8x-y = 12 (b) 2x+3y = 10 Answer: (a) Substitute x=2, y=3 in 8x-y=12 8(2)-3=12 16-3=12 x=2, y=3 is not a solution of 8x-y=12 (b) Substitute x=2, y=3 in 2x+3y=10 2(2)+3(3)=10 4+9=10 x=2, y=3 is not a ..