# Solving for Various Algebraic Equations

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1. Find the midpoint of the line segment joining the points p1 and p2

P1= (1.1)

P2= (-4,3)

Midpoint is______

2. Find the equation of a line that is parallel to the line x=9 and contains the point (-4,9). The equation of the parallel line is______

3. Find the equation of a line that is perpendicular to the line y=1/3x+7 and contains the point (-9,0) y=_____

4. Find the intercepts and use them to graph the equation.

y=3x-3

The intercepts are ____

5. Find the distance d (P1,P2) between the points P1 and P2

P1=(-3,2); P2=(4,6)

d(P1,P2)=

6. Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in internal notation.

X3-5x2-25x+125<0

What is solution set_______(interval notation)

7. Solve the following logarithmic equation.

log 2(x-2)=4-log 2(x+4)

x=_____

8. The function f(x)=4x/3x-5 is one to one.

Find its inverse and check your answer.

f-1(x)=_____

#### Solution Preview

Please also see attachment.

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1. Find the midpoint of the line segment joining the points p1 and p2

P1= (1.1)

P2= (-4,3)

Midpoint is___((1-4)/2,(1+3)/2)=(-1.5,2)___

2. Find the equation of a line that is parallel to the line x=9 and contains the point (-4,9). The equation of the parallel line is__x=-4____

3. Find the ...

#### Solution Summary

The solution gives detailed steps on solving various algebra questions: finding the midpoint of segment, finding the equation of line if it is parallel or perpendicular to given line, finding the intercept of given equation, computing the distance between two points, solving the inequality, solving the logarithmic equation and finding the inverse of given functions.