college algebra sample 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 Linear equation is a first degree algebraic expression with one,two or more variables equated to a constant. Graphically a linear equation with one or two variables is a straight line whereas one with three variable represents a plane. A simple linear equation is a statement of equ..

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..

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 = ..

Solve the Systems of linear equations by Method of Elimination (by Addition): 3x - 4y = 20 (i) 5x + 6y = 8 (ii..