Grade 8 Writing and Graphing Linear Equations

Alex is saving money to buy a new bicycle, and he already has $10 saved. Each week he saves $7.50. Write an expression to represent the total amount of money Alex saves after x amount of weeks.

• 7.5x + 10

• 17.5x

• 10x +7.5

• 2.5x

Jevon has been given the graph below to analyze by his 8^th 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." What is the equation of the line?

Hint: Follow the directions on how to use Desmos

• y = 2x + 2

• y = 4x + 2

Jamauri and two of his friends are planning a college visit to Savannah State University, but they each need to rent a separate car. They need to know the total cost of renting a car from Travel Rental Car Company. The total cost that Jamauri and his friends will pay altogether is modeled by the equation which includes the daily amount and the down payment for each car: C = 3(32.60d + 50)

What does the 50 from the equation represent within the context of the scenario?

• The down payment for the car

• The daily amount for the car

• The total cost

• The miles driven

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. What is the relationship of the potatoes represented as an equation?

Hint: Follow the directions on how to use Desmos

• y = x + 3.25

  Proportional

• y = x + 3.25

  Nonproportional

• y = 3.25x

  Proportional

• y = 3.25x

  Nonproportional

Imagine you are planning to buy small plants for your garden. Each plant costs $2, and you’ve also decided to buy a set of gardening gloves that cost $3. You have a total budget of $17 for this purchase. Select the correct equation and the amount of plants can you purchase?

• 3x + 2 = 17

  5 plants

• 3x + 2 = 17

  7 plants

• 2x + 3 = 17

  5 plants

• 2x + 3 = 17

  7 plants

Charlie tracked the cost of batch-recording YouTube videos in the table. Which equations represents the relationship in the table?

Hint: Follow the directions on how to use Desmos

• y = 0.75x + 11

• y = 1.5x + 11

Dr. Middleton is trying to create a formula with his student, Jacobi, to solidify the fundraising goal for the Men of Excellence organization’s gala based on the number of gala attendees. The organization has raised $500 from pre-ticket sales. The tickets are selling for $10 a ticket. The total cost for the organization’s gala is represented by the equation C = 500 + 10n. What does each part of the equation represent?

• C = the total cost

  10 = initial value

  500 = rate of change

  n = number of tickets

• C = the total cost

  500 = initial value

  10 = rate of change

  n = number of tickets

• 500 = the total cost

  10 = initial value

  n = rate of change

  C = number of tickets

• C = the total cost

  500 = initial value

  n = rate of change

  10 = number of tickets

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. Which two equations from the list represent graphs A and B?

Hint: Follow the directions on how to use Desmos

• y = 10x

• y = 5x

• y = 10x + 4

• y = 5x + 5

Dr. Middleton is trying to create a formula with his student, Jacobi, to solidify the fundraising goal for the Men of Excellence organization’s gala based on the number of gala attendees. The organization has raised $500 from pre-ticket sales. The tickets are selling for $10 a ticket. The total cost for the organization’s gala is represented by the equation C = 500 + 10n.

Jacobi wants to ensure that the total cost for the gala does not exceed $800. Model a linear inequality that represents the situation.

Alexis has $20 to go buy snacks from the store. The total cost is represented by the expression 5x - 2, where x is the number of snacks she intends to buy. Select two options that would make the statement true

C ≤ 5x - 2.

• 2

• 8

• 16

• 4

• 20