Algebra 1
Enrichment/Instructional Packet
Weeks 3 & 4
Mathematics
Prince George’s County Public Schools
Division of Academics
Department of Curriculum and Instruction
The teacher will not grade this packet.
This Enrichment Packet has been compiled to complement
high school mathematics classroom instruction aligned to the
Maryland College and Career Ready Standards (MCCRS). The
packet is intended to be used for review and practice of
previously taught and new concepts.
We strongly encourage you to work diligently to complete the
activities. You may experience some difficulty with some
activities in this packet, but we encourage you to think
critically and creatively and complete them to the best of your
ability.
Created March 2020
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Week 3
Resource: enVision Algebra 1
Lesson: 4 -1 Solving System of Equations by Graphing
Objective: Students will
● Graph system of linear equations in two variables to find an approximate solution.
● Write a system of linear equations in two variables to represent real-world problems.
Content Standards:
HSA-REI.C.6: Solve systems of linear equations exactly and approximately (e.g., with graphs),
focusing on pairs of linear equations in two variables.
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Week 3
Problem # 1
A small company manufactures a certain item and sells it online. The company has a business model
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where the cost C, in dollars, to make x items is given by the equation 𝐶𝐶 = 3 x+50 and the revenue R, in
dollars, made by selling x items given by the equation R = 10x. The break-even point is the point where
the cost and revenue equations intersect.
Part A
Graph the cost and revenue equations on the xy-coordinate plane provided.
Part B
How many items must the company sell to break even? -Enter your answer in the box.
Problem # 2:
In a basketball game, Marlene made 16 field goals. Each of the field goals were worth either 2 points or
3 points, and Malene scored a total of 39 points from field goals.
Part A
Let x represent the number of 2-point field goals and y represent the number of 3-point field
goals. Write a system of equations in terms of x and y to model the situation.
Enter your answer in the space provided. Enter only your system.
{
Part B
How many 3-point field goals did Marlene make in the game?
Enter your answer in the box
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Week 4
Resource: enVision Algebra 1
Lesson: 6 -2 Exponential Functions
Objective: Students will
● sketch graphs showing key features of exponential functions.
● Write exponential functions using tables and graphs.
● Compare linear and exponential functions.
Content Standards:
HSF.IF.B.4: For a function that models a relationship between two quantities, interpret key
features of graphs and tables in terms of the quantities, and sketch graphs showing key features
given a verbal description of the relationship.
HSF.IF.B.5: Relate the domain of a function to its graph and, where applicable, to the
quantitative relationship it describes.
HSF.BF.A.1: Distinguish between situations that can be modeled with linear functions and with
exponential functions.
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Week 4
Problem # 1:
t
N(t)
0
150
1
450
A certain type of lily plant is growing in a pond in such a way that the number of plants is growing
exponentially. The number of plants, N, in the pond at time t is modeled by the function N(t)=𝑎𝑎𝑎𝑎 𝑡𝑡 ,
where a and b are constants and t is measured in months. The table shows two values of the function.
Which equation can be used to find the number of plants in the pond at time t?
A. N(t)=150(1)𝑡𝑡
B. N(t)=450(1)𝑡𝑡
C. N(t)=150(3)𝑡𝑡
D. N(t)=450 (3)𝑡𝑡
Problem # 2:
In a laboratory experiment, a certain plant grows at the rate shown in the table.
Week Number Height (cm)
0
2
2
3.38
6
9.65
Write an exponential function, h(x), that can be used to model the growth of the plant after x weeks.
Enter your function in the space provided.
h(x)=
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Problem # 3:
The graph shows the number of computers that have been infected with a virus in the days
since the computer virus was first reported.
Let d represent the number of days since the computer viruses was first reported, and let c(d) represent
the number of computers infected. Which equations model this situation?
Select each correct equation.
F. c(d)=4𝑑𝑑−1
A. c(d)=2d+246
B. c(d)=96d-224
C. c(d)=2𝑑𝑑+3
D. c(d)=(8)2𝑑𝑑
E. c(d)= 4𝑑𝑑
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