what are the similarities between an algebraic equation and an algebraic expressions





Linear equations in two variables
Linear equations in two variables - 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 ..
Simplifying Radicals
Radicals are said to be in simplified form if the following conditions holds. Simplifying Radicals are also called as simplifying roots of an expression..
Simultaneous Equations
Consider a linear equations in two variables , say, 3x - 2y = 5. It has an infinite number of solutions, some of these are x = 0, Consider a linear equations in two variables , say, 3x - 2y = 5. It has an infinite number of solutions, some of these are x = 0, y = 0. Similar..
Summary Linear Equations in One Variable
Summary Linear Equations in One Variable - 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. A solution of a linear equation is the value of the variable which makes LHS = RHS. It is a..
Summary of Simultaneous Equations
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 addit..
Methods of Factorisation
(i) Common factors (ii) By expressing as difference of squares (iii) By grouping (iv) Trinomials (v) Sum or difference of cub..
More Solved Examples
The mathematical concept of a function expresses the intuitive idea of deterministic dependence between two quantities, one of which is viewed as primary (the independent variable, argument of the function, or its "input") and the other as secondary (the value of the function, or "o..
Linear Inequations
Linear Inequations - 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).An inequation is said to be linear if each term of the algebraic..
Summary
If all the terms of the polynomial have a common factor, we take out the common factor and factorise. If the polynomial can be expressed as the difference of two squares, we use a 2 - b 2 = (a + b) (a - b)..
Example:
x = 1, y = 1 is a solution of 2x + 3y = 5 2(1) + 3(1) = 5 x = -2, y = 3 is also a solution of 2x + 3y = 5 2(-2) + 3(3) = 5 -4 + 9 = 5 Similarly, we can find many more solutions for 2x + 3y ..
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