Exploring Inequalities: Word Problems & Feasible Regions

Exploring Inequalities: Word Problems & Feasible Regions

8th Grade

10 Qs

quiz-placeholder

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Exploring Inequalities: Word Problems & Feasible Regions

Exploring Inequalities: Word Problems & Feasible Regions

Assessment

Quiz

English, Mathematics

8th Grade

Practice Problem

Hard

CCSS
6.EE.B.8

Standards-aligned

Created by

Anthony Clark

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A farmer has 100 meters of fencing to create a rectangular pen for his sheep. If the length of the pen is represented by x meters, write an inequality to represent the maximum area of the pen. Graph the inequality and identify the feasible region.

x + y ≤ 100, x ≥ 0, y ≥ 0

x + y ≤ 75, x ≥ 0, y ≥ 0

x + y ≤ 50, x ≥ 0, y ≥ 0

x + y ≤ 25, x ≥ 0, y ≥ 0

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A school is planning a field trip and has a budget of $500. The cost per student is $20. Write an inequality to represent the maximum number of students that can attend the trip. Graph the inequality and identify the feasible region.

x ≤ 25

x ≤ 20

x < 25

x ≥ 30

Tags

CCSS.6.EE.B.8

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A company produces two types of gadgets, A and B. Each gadget A requires 2 hours of labor and gadget B requires 3 hours. If the company has 30 hours of labor available, write an inequality to represent the production limits. Graph the inequality and identify the feasible region.

4x + y ≤ 30

2x + 3y ≤ 30

2x + 3y ≥ 30

x + 2y ≤ 30

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A concert venue can hold a maximum of 200 people. If tickets are sold for $15 each, write an inequality to represent the total revenue generated if x is the number of tickets sold. Graph the inequality and identify the feasible region.

0 <= x <= 150

15x >= 3000

15x <= 3000, 0 <= x <= 200

10x <= 2000

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A bakery sells cookies for $2 each and muffins for $3 each. If the bakery wants to make at least $60 in sales, write an inequality to represent the relationship between the number of cookies (c) and muffins (m) sold. Graph the inequality and identify the feasible region.

4c + m ≥ 60

c + m ≥ 20

2c + 3m ≥ 60

2c + 3m ≤ 60

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A gym has a maximum capacity of 50 members. If x represents the number of adult members and y represents the number of child members, write an inequality to represent the gym's capacity. Graph the inequality and identify the feasible region.

x + y < 50

x + y ≥ 50

x + y = 50

x + y ≤ 50

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A local charity is organizing a fundraiser and needs to raise at least $1,000. If they earn $50 for each ticket sold, write an inequality to represent the number of tickets (t) they need to sell. Graph the inequality and identify the feasible region.

t <= 25

t < 20

t >= 20

t > 15

Tags

CCSS.6.EE.B.8

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