Algebra: Unit 2

Last updated 11 months ago

11 questions

Algebra: Unit 2

Last updated 11 months ago

11 questions

Unit 2 – Item 1
Mrs. Parsons is planning a college tour and must keep the total cost below $6000. The cost per student is $250, while the cost per adult is $275.

Write an inequality to represent the relationship between the number of students and adults to keep the cost below $6000.

Unit 2 – Item 2
The Senior Sponsors must stay within their $6000 budget for the end-of-year senior trip.

If the cost to attend the trip is $175 per student and $150 per adult, what is the maximum number of students that can attend if 10 adults are going?

Unit 2 – Item 3
Carter needs to earn at least $250 to buy himself a pair of new Jordan sneakers. He makes $25 for cutting the grass and $15 for taking the trash out.

Write an inequality that represents the number of times Carter should cut the grass (G) and take out the trash (T) to buy his new shoes.

Unit 2 – Item 4
Emma is organizing a community garden project and needs to track the relationship between the number of garden plots (𝑥) and the number of volunteer hours needed (𝑦). The graph below shows the inequality that represents the feasible number of volunteer hours required based on the number of garden plots.

The shaded region represents the possible combinations of garden plots and volunteer hours that meet the project's needs.

Write an inequality that represents the solution depicted in the graph.

Unit 2 – Item 5
A community garden project is being planned to maximize the use of two types of plants: tomatoes and cucumbers. The systems of inequalities below represent the garden’s specific guidelines on the number of each type of plant that can be grown due to space and resource constraints.

Write the system for the inequalities graphed below.

Unit 2 – Item 6
Sarah’s mom is planning a 16th birthday party for her and has hired a party planner for the event. Due to limited resources, the party planner needs to determine the amount of food that can be served and how many guests can be invited.

A) Sarah has requested cupcakes and steaks. The party planner can spend at most $750 on food.

Each cupcake costs $5 and each 10-ounce steak costs $15. Write an inequality to represent this situation.

B) The banquet hall for the event charges $12 for adults and $8 for kids. Would the party planner be able to stay within her $600 budget for guests if 20 adults and 60 kids came? Show your work and explain your reasoning.

Unit 2 - Item 7
Theo receives a $60 gift card for a movie theater, for purchasing popcorn and candy. He plans to buy at least eight items to share with his friends. Set up a system of inequalities to represent the possible combinations of popcorn and candy he can purchase, and the costs associated with each.

Graph your system of inequalities below.

Unit 2 – Item 8
Esmerelda and her family went into Kroger’s bakery to purchase cinnamon rolls and cookies. The cinnamon rolls are $3.75 each and cookies for $1.25 each. They have $40.00 to spend and must purchase at least 16 cupcakes and cookies combined.

Write a system of inequalities to represent this situation.

…

Solve the system of inequalities by graphing.

…

Interpret the meaning of the solutions to the system of inequalities based on the graph.

…

Algebra: Unit 2

Algebra: Unit 2

Unit 2 – Item 1Mrs. Parsons is planning a college tour and must keep the total cost below $6000. The cost per student is $250, while the cost per adult is $275. Write an inequality to represent the relationship between the number of students and adults to keep the cost below $6000.

Unit 2 – Item 2The Senior Sponsors must stay within their $6000 budget for the end-of-year senior trip. If the cost to attend the trip is $175 per student and $150 per adult, what is the maximum number of students that can attend if 10 adults are going?

A) Sarah has requested cupcakes and steaks. The party planner can spend at most $750 on food.Each cupcake costs $5 and each 10-ounce steak costs $15. Write an inequality to represent this situation.

B) The banquet hall for the event charges $12 for adults and $8 for kids. Would the party planner be able to stay within her $600 budget for guests if 20 adults and 60 kids came? Show your work and explain your reasoning.

Write a system of inequalities to represent this situation.

Solve the system of inequalities by graphing.

Interpret the meaning of the solutions to the system of inequalities based on the graph.

Unit 2 – Item 1Mrs. Parsons is planning a college tour and must keep the total cost below $6000. The cost per student is $250, while the cost per adult is $275. Write an inequality to represent the relationship between the number of students and adults to keep the cost below $6000.

Unit 2 – Item 2The Senior Sponsors must stay within their $6000 budget for the end-of-year senior trip. If the cost to attend the trip is $175 per student and $150 per adult, what is the maximum number of students that can attend if 10 adults are going?

A) Sarah has requested cupcakes and steaks. The party planner can spend at most $750 on food.Each cupcake costs $5 and each 10-ounce steak costs $15. Write an inequality to represent this situation.

B) The banquet hall for the event charges $12 for adults and $8 for kids. Would the party planner be able to stay within her $600 budget for guests if 20 adults and 60 kids came? Show your work and explain your reasoning.

Write a system of inequalities to represent this situation.

Solve the system of inequalities by graphing.

Interpret the meaning of the solutions to the system of inequalities based on the graph.

Unit 2 – Item 1
Mrs. Parsons is planning a college tour and must keep the total cost below $6000. The cost per student is $250, while the cost per adult is $275.

Write an inequality to represent the relationship between the number of students and adults to keep the cost below $6000.

Unit 2 – Item 2
The Senior Sponsors must stay within their $6000 budget for the end-of-year senior trip.

If the cost to attend the trip is $175 per student and $150 per adult, what is the maximum number of students that can attend if 10 adults are going?

A) Sarah has requested cupcakes and steaks. The party planner can spend at most $750 on food.

Each cupcake costs $5 and each 10-ounce steak costs $15. Write an inequality to represent this situation.

Unit 2 – Item 1
Mrs. Parsons is planning a college tour and must keep the total cost below $6000. The cost per student is $250, while the cost per adult is $275.

Write an inequality to represent the relationship between the number of students and adults to keep the cost below $6000.

Unit 2 – Item 2
The Senior Sponsors must stay within their $6000 budget for the end-of-year senior trip.

If the cost to attend the trip is $175 per student and $150 per adult, what is the maximum number of students that can attend if 10 adults are going?

A) Sarah has requested cupcakes and steaks. The party planner can spend at most $750 on food.

Each cupcake costs $5 and each 10-ounce steak costs $15. Write an inequality to represent this situation.