Given: 2700, 900, 300, 100… Write a rule for
the sequence.
Susan earns a 25% commission on sales plus her
salary of $100 per week. Write a function to
express Susan’s salary. Define each element of the
function.
Mary and Joe had a 96 ounce bottle of dishwashing
liquid. They use 3 oz of liquid per load of dishes.
Write a function to express the amount of liquid left
in the bottle after each load of dishes. Define each
element of the function.
$1500 is invested at 6% compounded monthly.
.06
The equation is 𝐴 = 𝑃(1 + 12 )12𝑡 . Find the
value of the investment after 10 years.
Betty can paint a room in 8 hours. Mary can paint the
same room in 6 hours. How long would it take both of
them to paint the room working together?
𝑥 𝑥
+ =1
8 6
During an experiment, the population of bacteria in a
jar decreases by 50% every hour (60 min). At the
beginning of the experiment there were 200,000
bacteria. Choose the best equation to model the total
number of bacteria in the jar.
a) 𝑓(𝑥) = 200,000(2)𝑡
b) 𝑓(𝑥) = 200,000(−2)𝑡
1
c) 𝑓(𝑥) = 200,000(2)𝑡
Describe the type of correlation
between the data points
The area of a rectangle is 420.
Two of the sides have a length
of 10. What is the length of the
other two sides?
What is the domain of f(x)?
Describe the difference in the graphs of the two:
𝑓(𝑥) = 3 ∗ 5𝑥
𝑎𝑛𝑑 𝑔(𝑥) = 3 ∗ 5𝑥 + 10
What is the range of g(x)?
𝑥
𝑥
𝑥
Solve the following equation: 2 + 3 + 4 = 1
Given 𝑎𝑛 = 3 ∗ 5𝑛−1 , 𝑛 = 1, 2, 3 …what does 3
mean? The 5?
The first term of an arithmetic
sequences is 2, the 4th term is 8 and
the 10th term is 20. Write the equation
of the sequence.
What score would raise Mary’s average on these five tests by about two points?
What score would raise Sherri’s average on these five tests by about 5 points?
On a summer evening the temperature cooled at a
constant rate. When the sun went down at 6 pm, the
temp was 90o. At 6 am the next day the temp was 66o.
What was the temp at 11pm?
2
Summer wants to earn a test average of 90 for the
If 𝑓(𝑥) = (3)𝑥 and x=1, 2, 3, 4 write
semester. So far her test scores are 91, 87, 86, 89, 90 and
the terms of the sequence.
92. What does Summer need to earn on her last (7th) test in
order to get his 90 average?
What was the temp at 1 am?
What was the temp at 4 am?
Which point does not lie on the line of the
equation
y = -3x – 5
a) (1, -8)
b) (-1, -2)
c) (0, -5)
d) (-1, -8)
- What is the domain for this graph?
- What is the range for this graph?
What is the domain?
What is the range?
Which data set has the lowest median?
Which data set has the highest lower quartile?
Which data set has the smallest IQR?
Which data set has the highest upper quartile?
Which data set has the largest IQR?
If the box plot D represents 500 student test scores,
a) How many were over 38?
b) How many were between 24 and 38?
c) How many were below 30?
d) How many were below 38?
Solve the formula for A:
5
B  A  64
9
Kiana wants to have an average of at least 95 on her quizzes. If she took
three quizzes and earned an 84, 90 and 97, write an expression that
would help Kiana find the grade (x) she would need on her fourth quiz.
Write a model for three
consecutive even integers
whose sum is 36. Simplify the
expression.
If
, solve the equation for P.
3
C  A  Pb
4
Elder(x) has three times as much money as
Elise(y). Elise has $7 less than Tosan (z). Together
they have $22. Write an expression to represent
the amount of money Elder would have.
Amy's school is selling tickets to a spring musical. On the first day of ticket sales the school
sold 9 senior citizen tickets and 10 student tickets for a total of $193. The school took in
$73 on the second day by selling 3 senior citizen tickets and 4 student tickets.
The graph is show the relationship of the number of bacteria
growing (in thousands) over a period of time (in minutes).
What is the price each of one senior citizen ticket and one student ticket?
a) Determine the number of bacteria present after 4
minutes.
b) How much time has passed when the bacteria is 8,000?
Five years ago, Isaiah invested $3,500 in an account that earns
7% interest compounded annually. The equation y = P(1+I)t
describes the balance in the account, where P is the principal, I
is the interest and t is time in years.
A rectangle is 8ft longer than it is wide. Its
perimeter is at least 40ft.
What are the three possible types of solutions
for a system of linear equations? Draw them!
a) Determine the model that would
represent the perimeter of the rectangle.
Isaiah made no additional deposits and no withdrawals. How
much is in the account now?
b) Find the approximate width of the
rectangle.
Deangelo wants to have a surprise birthday party for his best friend on Saturday. He was planning on having at least 75 people show up. Typically about 15% of
the people who are invited actually attend. Answer the following questions about his planning:
a) Determine the model that would find how many people Ben would need to invite to have at least 40 people show up.
b) The table below shows the number of people invited to the party if Deangelo tells one person and asks that person to tell one other person the next day
through the day of the party.
c) Complete the table below using the pattern described above. Write a model to represent the pattern you found in the table.
Day
0
1
2
3
4
5
6
# of people
1
2
who know
Solve the following systems of equations by elimination
a) −14 = −20𝑦 − 7𝑥
10𝑦 + 4 = 2𝑥
b) 2𝑥 − 2𝑦 = 5
5𝑥 + 𝑦 = 10
Graph the following. Label the solution on the graph and circle
your work!
a) 𝑦 = 2𝑥 + 1
6𝑥 = −3𝑦 + 3
Graph the following. Label the solution on the graph and circle your work.
Graph the following. Be sure to show the solution!
2𝑥 − 2𝑦 = 5
5𝑥 + 𝑦 = 10
Graph the following. Be sure to show work and the solution!
𝑥−𝑦 <3
7𝑥 − 𝑦 ≥ −3
−3𝑥 − 𝑦 ≥ −4
𝑦 < 3𝑥 − 2
Game tickets for the Falcons game are being
sold for $7.00 each. Students receive a
discount of $2.00. So far 175 tickets have
been sold for a total of $979.
How many tickets were sold to students?
There is a saying, “Everything’s bigger in
Texas!” So a group of students set off to
Texas to find the world’s largest snake.
The rumor is that in 2009, the largest
snake was named Timothy. This snake is
larger than one previously caught by
another class, named Jamel, in 2003.
Determine the lengths of the two snakes
by using the clues below.
Clue #1: the sum of the two snakes is 21.9
meters.
Clue #2: Jamel is 0.7 meters longer than
Timothy.
Isaiah went home early and missed this problem.
2(x  2)
 3x  2
7
Explain the steps in solving this equation.
Decide which set of ordered pairs show a negative linear correlation:
a)
b)
c)
d)
(-3, -2) (-1, -1) (1, 0) (3, 1)
(-3, 3) (1, 1) (2, -2) (4, -4)
(-3, 0) (1, 1) (1, 3) (2, 6)
(-1, 9) (0, 3) (1, 1) (2, 1/3)
Numerically list the steps required to solve the following system of equations using
elimination. Write in complete sentences.
8x + 14y = 4
-6x – 7y = -10
The point (3, -4) is on an even function. What do you know about another
point that is on the same function?
The graph of 𝑦 = 6𝑥 3 − 𝑥 is odd. One of the coordinates on the function is
(1, 5).
Mary makes and sells earrings at the mall. Below are tables showing the
cost of manufacturing and profit. After how many pairs is the cost of
manufacturing equal to the profit made?
What other point do you know to be on the graph?
1
Given 𝑎𝑛 = 2 (4)𝑛 , write the first five
terms.
The revenue for a small company is given by the
function: 𝑟(𝑡) = 13𝑡 2 + 17𝑡 + 720, where t is the
number of years since 1998 and r(t) is the revenue
in thousands of dollars. What year will the revenue
be $996 thousand?
a) 2002 b) 2003 c) 2006 d) 2004
The position of an object moving in a straight line is given by 𝑠 = 2𝑡 2 − 3𝑡
where s is in meters and t is the time in seconds the object has been in
motion. How long (to the nearest tenth) will it take the object to move 10
meters?
The height of a golf ball above the ground, y, in meters, is modeled by
the function y = –5x2 + 20x, where x is the time in seconds after the ball
is hit. At what time, in seconds, does the ball reach its maximum
height?
A theatre seats 400 people per show and is currently sold out with a
ticket price of $10. A survey shows that for every $1 per ticket price
increase, 25 fewer tickets will be sold. Which function models this
situation?