elementary algebra practice problems

The concept of limits leads to define and describe continuity and derivative of the function. The continuity of a function has practical as well as theoretical importance. We plot graphs by taking the values generated in the laboratory or collected in the field. We connect the plotted p..

). Its usefulness is seen through emphasis on mathematising practical situations.Solving of problems depends on the ability to understand and apply mathematical analysis to different situations. In this chapter, we will study some fundamental definitions and application..

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 +..

Prove that the tangents drawn at the extremities of a diameter of an ellipse are parall..

Find the equation of an ellipse ,the distance between whose foci is 8 units and the distance between two directrices is 18 units..

Find the length of major and minor axes ,the co ordinates of foci and vertices , and the eccentricity of the ellipse 3x 2 +2y 2 = 6. Also find the equation of directiv..

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

..

Lets look at few example problems for all the above topics ,which are mentioned in this pag..

If one number is thrice the other and their sum is 60, find the numbers. Let the numbers be x and y. x is 3 times y x = 3y (1) Sum of x and y is 60 x + y = 60 (2) Putting the value of x from (1) in (2), we get, 3y + y = 60 4y = 60 y = 15 Substituting y = 15 in (1), we get, x = 3 x 15 = 45..