Math 1
Unit 1 Review
Name ______________________________
Date _______
Population Growth
1. The population of Thomasville, North Carolina was 26,729 in 2011. Each year the population
grows by 3.4% through births and decreases by 1.2% of the residents due to deaths. Every year
523 people move away from Thomasville.
a. What is the percent of change from one year to the next?
b. Rewrite your percent from Part A as a decimal.
c. Write the calculator steps from computing the population change for the next year.
d. Fill in the table below for the expected population for each of the following years.
Year
Population
2012
2013
2014
2015
2016
e. What will the population be in 2025?
f. Ignoring the 523 people who move away, how many people would have to leave
Thomasville each year so that there is no growth?
2017
Sequences
an  a1  d (n  1)
g n  g1  r n 1
Determine if the following sequences are arithmetic, geometric or neither. If they are arithmetic or
geometric, find the common difference or ratio and the recursive and explicit formulas.
2. {15, 16, 18, 21, 25, …}
Type of sequence _________________
Common difference/ratio _______
Recursive ____________________
Explicit ______________________
3. {-5, -6, -7.2, -8.64, -10.368, …}
Type of sequence _________________
Common difference/ratio _______
Recursive ____________________
Explicit ______________________
4. {23, 17, 11, 5, -1, …}
Type of sequence _________________
Common difference/ratio _______
Recursive ____________________
Explicit ______________________
5. {-120, 60, -30, 15, -7.5, …}
Type of sequence _________________
Common difference/ratio _______
Recursive ____________________
Explicit ______________________
6. {-12.7, -8.8, -4.9, -1, 2.9, …}
Type of sequence _________________
Common difference/ratio _______
Recursive ____________________
Explicit ______________________
Two formulas are given for the same sequence. Use the formulas to answer questions 7-8.
a1  3

an  an 1  6
an  3  (6) n 1
7. Find the first five terms of the sequence.
______, ______, ______, ______, ______
8. Find a11 . Use the equation to find your answer.
Two formulas are given for the same sequence. Use the formulas to answer questions 9-11.
a1  3

an  an1  6
an  3  6(n  1)
9. Find the first five terms of the sequence.
______, ______, ______, ______, ______
10. Find a50. Use the equation to find your answer.
11. Which term in the sequence is -585? Use the equation to find your answer.
12. Find the missing terms in the following arithmetic sequence.
-1, __________, __________, __________, _________, -50
13. Find the missing term in the following geometric sequence.
15, __________, __________, __________, _________, _________, 0.69984
Equations and Graphs
14. Suppose Verizon has a prepaid cell plan where you pay $25 per month plus $0.05 per phone
call.
a. What will the monthly bill be if 35 phone calls are made?
b. What rule will help you calculate the monthly bill B based on the number of calls made c?
c. How many calls must have been made if one monthly bill was $29.85?
15. Suppose AT&T, in an attempt to one-up Verizon, decided to charge $25 per month and $0.10
per call, but you get the first five calls free.
a. What will the monthly bill be if 20 phone calls are made? 47 phone calls?
b. What rule will help you calculate the monthly bill B based on the number of calls made c?
16. The vendors at a hockey rink are paid $20 a game and 15% of the value of the concessions they
sell.
a. How much would a vendor get paid if they sold $300 worth of food and drinks?
b. Write an equation that will help you calculate your total pay P based on your concession
sales c (in dollars).
c. How much money in concessions must a vendor sell to earn a game pay of $98?
17. Without using a calculator, match the following equations and graphs below. Put your answers
on the provided lines.
____a. y  ax 2  b
____b. y  a  b x
____c. y  ax  b
____d. y 
a
x
18. Circle the equation below that doesn’t fit the rest and explain why you chose that equation.
There is no need to use a calculator for this question.
a.
y  2x2  5
b.
y  2x  5
c.
y  12 x 2  5
d.
y  5  2 x 2