Perform the indicated operation and simplify as much as
possible.








Let

and

Find the midpoint of

and




Find the distance from

to




Solve each equation for









Solve each equation for









When solving each of the problems below, you must (i) use
variables and the methods of solving as we have done in class -- you will get
no credit for simply plugging in numbers to see if they work
(ii) properly introduce any variables you use with either
words or a
diagram.
Suppose in a particular week the noon temperature on Tuesday was 7 degrees
higher than the noon temperature on Monday. Also, the average temperature for
the two days was
80
.
What was the temperature on
Monday?



A student wants to create a poster. Because of the design for the border, the
student wants the perimeter of the poster to be 30 inches. To contain the
desired information, the area of the poster must be 56 square inches. If the
poster must be taller than it is wide, find the dimensions the students must
use.



Solve each inequality and sketch the solution on a number
line.








Solve each absolute value inequality and sketch the solution on a number
line.








For each description given, shade the appropriate part of the coordinate plane
underneath it that fits the
description.



Consider the equation

Complete the table
below.

Use the table in part (a) to sketch a graph of this equation on the axes
below.


Short
answer.
State two points that are in the first
quadrant.



Write both a linear equation and a quadratic equation for which

is a
solution



Write an equation or an inequality that has no real
solution.

