ALGEBRA - solved problems
Graphing linear equation, linear function (first degree polynomial)
The linear function  f (x) = mx + c
The linear function we also write as 
y = a1x + a0   or   y = a1(x - x0)   or   y - y0 = a1x,  where  y0 = a0
To find the zero or the x-intercept of the linear function set  y = 0  and solve the equation for x, i.e.,
                                       y = 0    =>   0 = a1x + a0
98.    Find the equation of the line that passes through the origin and the point A(-3, 2).
Translate the line in the direction of the x-axis by x0 = - 3, then find its equation.
Solution:   Calculate the slope m by plugging the 
coordinates of the point A into the equation  y =  mx,
By plugging x0 = - 3 into  y = a1(x - x0)
Equations of straight line
The point-slope form of a line
99.    Find the equation of the line that is parallel with the line y = - x - 2 and passes through the point
P1( 2, 1) .
 Solution:  
The two point form of the equation of a line
100.    Find the equation of the line which passes through points P(-2, 3) and Q(6, -1).
Solution:
101.
Find the equation of the line that is perpendicular to the line and passes through
the point A(-2, 5).
Solution:
Absolute value functions
The graph of the absolute value function  f (x) = | x |
102.    Draw the graph of the absolute value function   f (x) = | x |.
The graph of the absolute value of a linear function  f (x) = | ax+ b |
103.    Draw the graph of the absolute value function   f (x) = | ax + b |.
Simultaneous linear equations
  System of two linear equations in two unknowns (variables)
     Solving systems of equations - substitution and comparison method
104.    Solve the system of equations.
 Solution:  
105.    Solve the system of equations using comparison method.
 Solution:  
Addition or elimination method
106.    Solve the system of equations using elimination method.
 Solution:  
Solved problems contents
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