8th Grade Math: Unit 2

Unit 2 – Item 1

Shawnda is measuring the growth of a plant over time. She has been tracking the plant’s height every week. After analyzing her data, Shawnda notices that the plant’s height is increasing at a constant rate, with each week adding to its height. The graph below shows the data that Shawnda has been collecting over the last few weeks.

Unit 2 – Item 2

Dana and Tara have decided to visit their local supermarket to prepare dinner for their friends. While there, they decided to make a table for the potatoes that cost $3.25 per pound.

Unit 2 – Item 3

The graph below represents the time, in hours, and the distance, in miles, it took Khylen and Gilberto to run at the Savannah Rapids Pavilion in Evans, Georgia.

Unit 2 – Item 4

Two friends, Jabal and Alexis, are conducting an experiment to study the relationship between the amount of water they drink and the number of hours they can study effectively. They both start with a baseline of drinking no water and studying for 0 hours. As they increase the amount of water they drink, they observe an increase in the number of hours they can study effectively. After collecting their data, they noticed that Jabal’s data points form a straight line that passes through the origin, while Alexis’s data points form a straight line that intersects the vertical axis at 6.

Unit 2 – Item 5

Mrs. Carlyle has been teaching mathematics for over forty years. In her spare time, she likes to tutor students in the community privately. She charges $25 an hour. If she has two or more students from the same family, she gives each student a $5 discount per session. Ellijah and Elliyah are twins, and they both take tutoring lessons from Mrs. Carlyle. Their best friend, Wilce, also takes lessons.

Unit 2 – Item 6

Throughout the school year, JyMelvion has been saving up money from his allowance to buy a new video console. He’s been diligently keeping track of his earnings and expenses in a journal.

However, this week, JyMelvion accidentally misplaced $20 from his earnings.

Unit 2 – Item 7

Zoe surveyed her friends in her study group to find out how many hours they each spent studying and how many hours they watched TV. The table below displays her findings.

Unit 2 – Item 8

Create a vending machine with contents of your choice. Include pricing for each item.

Unit 2 – Item 9

Mr. Daniels is planning a celebration for teachers and students at the local skate park.

Admission for students (x) is $8 and admission for teachers (y) is $5. Mr. Daniels will spend $500 on the celebration.

Unit 2 – Item 11

Jayleen and Ja’Keria were in study skills class discussing functions and linear relationships. Jayleen gave Ja’Keria the steps below to complete. Can you help Ja’Keria model and represent the given statements?

Unit 2 – Item 12

Kenneth and Jordan are planning to construct a rectangular garden bed in their backyard for their vegetable patch. They have 60 feet of wood material and plan to use all of it.

Unit 2 – Item 13

The Xteam Cab car ride service charges an initial fee of $4.00 plus $0.75 per mile for each mile traveled. Let the x-axis represent the actual number of miles traveled and the y-axis represent the cost in dollars.

Item 2 - Item 14

Charlie tracked the cost of batch-recording YouTube videos in the table below.

Unit 2 – Item 15

Jevon has been given the graph below to analyze by his 8th grade math teacher, Mrs. Janice. She gave him the following instructions, “you can use the y-intercept and slope to obtain a graph of an equation. Analyze the graph and answer the questions that are below it.”

Unit 2 – Item 16

The equation of a linear function that passes through the point (−4,3) and has a slope of 1/2 be written in point-slope form as 𝑦−3=12(𝑥+4).

Unit 2 – Item 17

Rachel has a monthly cell phone bill that is based on a monthly fee and a fee for each minute of calls she makes. Last month, her bill was $90 for 500 minutes of usage. Three months ago, her bill was $65.21 for 256 minutes of usage. The graph represents the amount she is charged each month based on the number of minutes she uses.

Unit 2 – Item 18

The Augusta-Richmond County Commissioners hired a team to study the city’s future population growth. The study projects Augusta’s population growth over the next 25 years, as shown in the table.

Unit 2 – Item 19

Richard was given a function card sort task in Ms. Hargrave’s class to label functions as linear or nonlinear. He completed the task below.

Function D: Timothy borrowed $30 from his mom to attend the 8th

-grade social. He pays back $5 each week until the debt is repaid.

Function E: V = 𝑠2

Function F:

Function G