Algebra I
Review for Open Response Final Exam
Name _______________________________________
Scatter Plots
1. The scatter plot shows the number of CDs that Disc-O CD factory produced in different months.
a) What are the coordinates of Point Q?
b) Describe what you know about point Q using the labels.
c) Is the trend in the graph a positive correlation,
negative correlation, or no correlation?
d) Draw a line of best fit.
e) Write an equation for your line of best fit.
f) Describe what the slope of the line means in the context of the problem.
Systems of Equations
2. Find a solution to the following system of inequalities by graphing.
a) Give an ordered pair that is in the solution set to the system
of inequalities.
b) Using algebra, show that the ordered pair is a solution to the
system of inequalities.
3. Find a solution to the following system of equations.
4.
Find a solution to the following system of equations.
7x + 15y = 32
3 x  10 y  25
4 x  40 y  20
x – 3y = 20
5. Mary runs a catering business. She charges a flat fee of $20 and then $10 per person.
a) Let x represent the number of people and y represent the total cost.
 Find the equation.

Complete the table of values and sketch a graph
for this situation. Label your graph.
x
0
10
20
30
y
b) Mary charged her customer $500. How many people were
at the party?
6.
a)
Factor. y = x2 + 4x – 32
b) Use the zero-product property to fine the roots (x-intercepts).
7)
Fort Collins is having summer concerts this year. You have two ticket options. Option #1: You can pay a fee of $6 per
concert or Option #2: you can pay a one-time fee of $9 plus an additional $3 per concert.
a) Write the system of equations that models this situation.
Option #1: ____________________________________
Option #2: ____________________________________
Define your variables.
__________________________________________
__________________________________________
b) Find the solution of the system by graphing on the grid below. Be sure to title and label your graph.
Solution ___________
c) Explain what the solution means in the context of the problem.
d) Elissa wants to attend 4 concerts this summer. Which payment option should she pick? Explain.