1) Write the following functions in the equivalent form most appropriate for identifying the slope
and y-intercept of the functions.
A. 𝑥 + 2𝑦 = −4
B. 3𝑥 + 2𝑦 = −10
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C. 𝑦 − 3 = − 3 (𝑥 + 4)
D. 𝑦 + 1 = −5(𝑥 − 1)
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E. 𝑦 + 3 = 3 (𝑥 − 3)
2) The graph of y= 𝑥 2 is shown on the grid.
Draw the graph of the following functions on the same grid.
A. 𝑌 = 𝑋 2 + 4
B. 𝑌 = −𝑋 2
C. 𝑌 = −𝑋 2 − 4
D. 𝑌 = (𝑋 − 4)2
E. 𝑌 = (𝑋 + 4)2
F. I)𝑌 = (𝑋 + 4)2 − 3
3) Karla takes 3 consecutive integers (1, 2, 3), first multiplying them together, and then adding the
middle number to the result. She tries the same steps for another 2 sets of consecutive
numbers,(4,5,6) and (7,8,9).
She figured out in all cases the results have a pattern!
A) Find out what was the pattern that Karla noticed when finding the result in her experiment.
B) Karla made her conjectures and she tries to write a rule for it. What do you think she needs
to write as a general rule?
C) Juan ,upon hearing of Karla’s observation ,writes his own rule as:
(𝑎 + 1)(𝑎 + 2)(𝑎 + 3) +--------------= (𝑎 + 2)3 what should you replace for the missing
part?
D) Miguel tries to write his own version with “𝑎 “as the middle number, what do you think his
formula looks like?
4) San Fernando High School plans to order T-shirts with a new SFHS logo for all students. They
realized that because of the fixed cost for the custom SFHS logo the average cost per T-shirt
depends on the number of T-shirts ordered.
The total cost of ordering x number of T-shirts is given by 𝑐(𝑥) = 250 + 4.25 𝑥
A) Suppose the school orders only 10 T-shirts, what is the total cost? What is the cost of each
T- shirt?
B) Suppose the school orders 3000 T-shirts, what is the total cost? What is the cost of each Tshirt?
C) Seeing the drop of the price per T-shirt made the students curious. “What will happen to
the price as we order more and more T-shirts?” In order to answer that question, they
decided to make the table below. Complete the table to show the cost per T-shirt for
different number of orders.
The
number
of T-shirts
Total cost
Cost per
T-shirt
0
10
100
1000
10,000

Explain why the average cost per T-shirt is changing.

Explain why the average cost per T-shirt levels off.
100,000
1000,000
Using the data points from your table, sketch the graph of the average cost per T-shirt.
How does the graph reflect the fact that the average cost levels off?
5)
The value of an antique has increased exponentially, as shown in the graph above. Based on the graph,
estimate to the nearest $50 the average rate of change in value of the antique for the following time
intervals:
From 0 to 10 years
From 10 to 28 years
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6) Find the inverse of 𝑓(𝑥) = − 3 𝑥 − 1 and graph it on the coordinate grid below.
7) Maria starts a new job with a $40,000 salary and a promise of a $2000 raise every year, while
Tina starts with the same salary and is promised a raise of 2-5%. Who would be making more
money after 5 years on the job? Explain with reasoning.