algebra 2 games





Composition of two functions or Product of two functions
Let f:AgB and g:AgB be two functions. Thus the composition of two functions f and g denoted by gof or fog is the function from A into C defined by gof = {(a,b) for some c B, (a,c) f and (c,b) g}.Let f:AgB and g:AgB be two functions. Thus the composition of two..
2)
Consider the following inequations. a) x > 0 ..
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 three variable represents a plane. A simple linear equation i..
Linear equations in two variables
An equation whose graph is a straight line is called a linear equation. (linear means straight). An equation of degree one is linear.An equation whose graph is a straight line is called a linear equation. (linear means straight). An equation of degree one is linear. A linear equation in two..
Equality of two functions
Two functions f and g are said to be equal if domain of f = domain of g codomain of f = codomain of g and ..
Theorem 1 Two intersecting Lines
Statement :- Let a 1 x+b 1 y+c 1 =0 and a 2 x+b 2 y+c 2 =0 be two intersecting lines. Then (a 1 x+b 1 y+c 1 )+k(a 2 x+b 2 y+c 2 )=0 represents the family of straight lines passing through the intersection of given lines. Pr..
Plot Linear equations in two variables
Summary Linear equations in two variables - An equation is called a Linear equation in one variable or an equation of degree one in one variable, if only a single variable with degree one occurs in the equation. An equation is called a Linear equation in one variable or an equation of deg..
Graphical representation of a Linear Equation in two variables
The position of a point in a plane is fixed by selecting two axes of reference which are formed by combining two number lines at right angles so that their zeros coincide. The horizontal number line is called x-axis and the vertical number line is called y-axi..
Question 2
Question: Find the values of a so that x=1, y=2 is a solution of: (a) 2x+ay=10 (b) ax+2y=6 (c) x+2y=a Answer: (a) 2x+ay=10, substitute x=1, y=2 2(1)+a(12) = 10 2+2a=10 2a=8 a=4 (b) ax+2..
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