CC1 Name ______#_____
EOC Review – Linear
Directions: You will complete 4 stations. Record answers on this sheet. Find the station number on this packet. Read the directions and begin working you will have 10 minutes at each station. Your goal is to get as much done as possible and remember the things we’ve discussed regarding linear equations.
Station 1: Question Sort
Being able to recognize the type of question you are being asked on the EOC is essential to your success. To practice this skill sort the EOC questions you have been given. Pull out all of the questions that ask about linear functions. Below record all of question numbers to the linear problems. As you go write down key words you see that tell you when a question is dealing with a linear function.
Write the question numbers here:
Write the key words that help you know if a question is linear here:
Station 2: Line of Best Fit
1) Write down the steps to find linear regression on your calculator.
2) When do we use linear regression?
Question #1
What is the question? (do not write down the entire problem) / How can you find your answer?What is the line of best fit? (do not find it if you don’t need it to answer the question. / How will you use the linear regression model to answer the question?
Answer______
Question #2
What is the question? (do not write down the entire problem) / How can you find your answer?What is the line of best fit? (do not find it if you don’t need it to answer the question. / How will you use the linear regression model to answer the question?
Answer______
Question #3
What is the question? (do not write down the entire problem) / How can you find your answer?What is the line of best fit? (do not find it if you don’t need it to answer the question. / How will you use the linear regression model to answer the question?
Answer______
Question #4
What is the question? (do not write down the entire problem) / How can you find your answer?What is the line of best fit? (do not find it if you don’t need it to answer the question. / How will you use the linear regression model to answer the question?
Answer______
Station 3: What is the meaning of all this?
Many questions on the EOC ask you to interpret what an equation means or what portions of the equation mean. Read each of the following scenarios and fill in the table below for each scenario. While working, fill in the key words section at the bottom giving you reminders for what to look for with slope and y-intercept.
Scenario 1:
Equation: / Meaning of the variables:Slope: / Meaning of the slope:
Y-intercept: / Meaning of the y-intercept:
Scenario 2:
Equation: / Meaning of the variables:Slope: / Meaning of the slope:
Y-intercept: / Meaning of the y-intercept:
Scenario 3:
Equation: / Meaning of the variables:Slope: / Meaning of the slope:
Y-intercept: / Meaning of the y-intercept:
What are some key words used to refer to slope? / What are some key words used to refer to the y-intercept?
Station 4: Matching
Enclosed are 5 representations of a linear function: the graph, the equation in slope-intercept form, the equation in standard form, the table, and the slope and y-intercept. With your group, match the 5 cards that represent the same linear function. For one of your matches, write down all of the pieces below. As you are working, record how you are finding the pieces that match.
Write some helpful hints to use when matching different representations of linear functions.
For one of your matches, fill in the information
Slope-Intercept Form / Standard FormTable: / Graph:
Slope: / Y-intercept
Station 1: Teacher Directions: Copy and cut questions apart.
12. Suppose that the function F(x) = 2x + 12 represents the cost toRent x movies a month from an internet movie club. Makayla
Now has $10. How many more dollars does Makayla need to rent
7 movies next month? /
/ 13. The larger leg of a right triangle is 3cm longer than its smaller leg.
The hypotenuse is 6cm longer than the smaller leg. How many
centimeters long is the smaller leg?
8. What is the smallest of 3 consecutive positive integers if the
product of the smaller two integers is 5 less than 5 times the
largest integer? /
50. An elevator can hold a maximum of 1,500 pounds. Eight people need to use the elevator. Bill had some measures from the data set of how much each person weighed. Which measure would be most useful to determine if the people can safely use the elevator?
A. Mean
B. Median
C. Mode
D. Interquartile range
Station 1: Student Directions: Make copy for station packet
Station 1: Question Sort
Being able to recognize the type of question you are being asked on the EOC is essential to your success. In this station you will be able to practice this skill by sorting these released EOC items into two groups.
· With your group members pull out all of the questions that ask about linear functions.
· Record all of the numbers of those problems in your Stations Packet
· As you go write down in your Stations Packet any key words that help you know if a question is linear.
Station 2: Teacher Directions: Copy and cut apart.
1. The toasting times associated with four settings are listed below.Setting / 1 / 2 / 3 / 4
Seconds / 50 / 55 / 60 / 65
Use the line of best fit to find the toasting time for the eighth setting.
A. 85 seconds B. 80 seconds C. 45 seconds D. 130 seconds
2. The table below shows the cost of buying different number of pairs of jeans. The price per pair changes as you purchase more pairs of jeans.
# of pairs / 1 / 2 / 3 / 4
Total Cost / $14.99 / $28.98 / $41.97 / $53.96
What is the best prediction for the cost of 9 pairs of jeans?
A. $98.91 B. $12.99 C. $250.00 D. $120.00
3. The table below shows the number of doctors in Bingham City from 1960-1986.
Year from 1960 / 0 / 7 / 10 / 15 / 22 / 25 / 26
Number of Doctors / 2937 / 3511 / 3754 / 4172 / 4741 / 5019 / 5102
According to the line of best fit for the data, what is the approximate average annual increase for the number of doctors in Bingham City from 1960-1986?
A) 2928 B) 83 C) 287 D) 42
4. The following table shows the cost to send tourists on a trolley ride through San Francisco. Let x represent the number of tourists and y represent the cost. Which statement best interprets the meaning of the y-intercept of the linear function that fits the data?
Tourists / 10 / 15 / 20 / 30 / 50
Cost / $230 / $280 / $330 / $430 / $630
A) The cost of each tourist’s trolley ticket
B) The cost to drive the trolley without any tourists on it
C) The number of tourist’s on the trip
D) The total cost of the trip, based on the number of tourists
Station 2: Student Directions: Make copy for station packet
Station 2: Line of Best Fit
· With your group members write down the calculator steps for linear regression in your Stations Packet.
· Why do you use linear regression? Write your answer in your Stations Packet.
· For each of the questions answer the following in your Station Booklet
o What is the question?
o How can you find the answer?
o What is the line of best fit? (if you do not need to find the line of best fit do not answer this)
o How will you use the line of best fit to answer the question?
o What is the answer?
Station 2: Line of Best Fit
· With your group members write down the calculator steps for linear regression in your Stations Packet.
· Why do you use linear regression? Write your answer in your Stations Packet.
· For each of the questions answer the following in your Station Booklet
o What is the question?
o How can you find the answer?
o What is the line of best fit? (if you do not need to find the line of best fit do not answer this)
o How will you use the line of best fit to answer the question?
o What is the answer?
Station 3: Teacher Directions: Copy 2 per station
Station 3: What is the meaning of all this?
Scenario One: Gerry hired a chef to cook for a party. The chef charged a fee of $50 plus $8 for every person at the party.
Scenario Two: The line of best fit for the cost of membership at several gyms can be described by the equation c = 35m + 200, where c is the total cost of membership at a local gym for m months.
Scenario Three: Alice works in a clothing store. She receives $200 every week for working plus a 7% commission on the amount of clothing she sells. Write an equation showing this information.
Station 3: What is the meaning of all this?
Scenario One: Gerry hired a chef to cook for a party. The chef charged a fee of $50 plus $8 for every person at the party.
Scenario Two: The line of best fit for the cost of membership at several gyms can be described by the equation c = 35m + 200, where c is the total cost of membership at a local gym for m months.
Scenario Three: Alice works in a clothing store. She receives $200 every week for working plus a 7% commission on the amount of clothing she sells. Write an equation showing this information.
Station 3: student direction: copy for station packet
Station 3: What is the meaning of all this?
Many questions on the EOC ask you to interpret what an equation means, or what portions of the equation mean.
· Read each of the following scenarios with your group members
· Fill out the table in your Stations Book for each scenario.
o What is the equation?
o What is the meaning of the variables?
o What is the slope?
o What is the meaning of the slope?
o What is the y-intercept?
o What is the meaning of the y-intercept?
· While you are working record any key words or helpful hints that you are using to determine the meaning of the slope and y-intercept.
Station 3: What is the meaning of all this?
Many questions on the EOC ask you to interpret what an equation means, or what portions of the equation mean.
· Read each of the following scenarios with your group members
· Fill out the table in your Stations Book for each scenario.
o What is the equation?
o What is the meaning of the variables?
o What is the slope?
o What is the meaning of the slope?
o What is the y-intercept?
o What is the meaning of the y-intercept?
· While you are working record any key words or helpful hints that you are using to determine the meaning of the slope and y-intercept.
Station 4 student directions: copy and include with station packet.
Station 4: Matching
Enclosed are 5 representations of a linear function: the graph, the equation in slope-intercept form, the equation in standard form, the table, and the slope and y-intercept.
· With your group, match the 5 cards that represent the same linear function.
· For one of your matches, write down all of the pieces below.
· As you are working, record how you are finding the pieces that match.
Station 4: Matching
Enclosed are 5 representations of a linear function: the graph, the equation in slope-intercept form, the equation in standard form, the table, and the slope and y-intercept.
· With your group, match the 5 cards that represent the same linear function.
· For one of your matches, write down all of the pieces below.
· As you are working, record how you are finding the pieces that match.
Station 4: teacher direction: Copy each type on a separate color and cut apart. Enough for two sets with these copies.
ay=-3+12x / b
y=-3x+2
c
y=-3+2x / d
y=2+3x
e
y=-2x-3 / f
y=3-2x
a
y=-3+12x / b
y=-3x+2
c
y=-3+2x / d
y=2+3x
e
y=-2x-3 / f
y=3-2x
z
x-2y=6 / w
3x+y=2
y
2x-y=3 / v
3x-y=-2
x
2x+y=-3 / u
2x+y=3
z
x-2y=6 / w
3x+y=2
y
2x-y=3 / v
3x-y=-2
x
2x+y=-3 / u
2x+y=3
h
slope: 12
y-intercept: (0,-3) / i
slope: -3
y-intercept: (0,2)
g
slope: 2
y-intercept: (0,-3) / L
slope: 3
y-intercept: (0,2)
j
slope: -2
y-intercept: (0,-3) / k
slope: -2
y-intercept: (0,3)
h
slope: 12
y-intercept: (0,-3) / i
slope: -3
y-intercept: (0,2)
g
slope: 2
y-intercept: (0,-3) / L
slope: 3
y-intercept: (0,2)
j
slope: -2
y-intercept: (0,-3) / k
slope: -2
y-intercept: (0,3)
o
x / -2 / 0 / 2 / 4
y / -4 / -3 / -2 / -1
/ p
x / -2 / 0 / 2 / 4
y / 8 / 2 / -4 / -10
n
x / -2 / 0 / 2 / 4
y / -7 / -3 / 1 / 5
/ m
x / -2 / 0 / 2 / 4
y / -4 / 2 / 8 / 14
r
x / -2 / 0 / 2 / 4
y / 1 / -3 / -7 / -11
/ q
x / -2 / 0 / 2 / 4
y / 7 / 3 / -1 / -5
o
x / -2 / 0 / 2 / 4
y / -4 / -3 / -2 / -1
/ p
x / -2 / 0 / 2 / 4
y / 8 / 2 / -4 / -10
n
x / -2 / 0 / 2 / 4
y / -7 / -3 / 1 / 5
/ m
x / -2 / 0 / 2 / 4
y / -4 / 2 / 8 / 14
r
x / -2 / 0 / 2 / 4
y / 1 / -3 / -7 / -11
. / q
x / -2 / 0 / 2 / 4
y / 7 / 3 / -1 / -5