college level algebra problems

Here is a list of problems solved using the identities of limits, standard limits, limits theorem explained above....

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

Solve the following Systems of linear equations : 1. If one number is thrice the other and their sum is 60, find the numbers. 2. Find the fraction which becomes 1/2 when the denominator is increased by 5 and is equal to 1/3 when the numerator is diminished by 4..

Question 1 - Question: Solve the following equation: 3(x-1)=8 Answer: 3(x-1)=8 3x-3=8 3x=8+3 3x=..

An inequation is said to be linear if each term of the algebraic expression (or expressions) of the inequation contains first degree variables (not the product of variables..

Summary Simultaneous Equations - Finding the solution by the method of substitution. Finding the solution by the method of substitution. (i) Coefficients of one of the variables (say x) in the two equations are made equal, by multiplying them with suitable factors. (ii) By addition or subtraction, ..

A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also called the "root" of the equation. To solve a linear equation , we transpose all the terms containing the variable to one side and the constant terms to the other. The equation then reduces to th..

Simultaneous Equations - A linear equations in two variables x and y is of the form ax + by + c = 0 ( ) where a, b, c are real numbers. To find a solution for this equation, we can assign any value for one of the variables and find the value of the other variable such that the two sides of the equa..

An equation is an equality connecting some unknowns. The unknowns are represented by "letters" and are called "the variables". If the equation has only one unknown, it is called "an equal in one variable". The word "Linear" means "of degree one". Hence if only a single variable with degree one oc..

ax + b = 0 is a linear equation in one variable . The graph of x = a is a line parallel to y-axis at x=a. The graph of y=b is a line parallel to x-axis at y = ..