Exploring Inequalities: Create Tables and Analyze Data

1. A store sells pencils for $0.50 each. Create a table showing the total cost for buying 1 to 5 pencils. Write an inequality to represent the total cost being less than $3.

• Total cost for 1 to 5 pencils: 1 pencil = $0.50, 2 pencils = $1.00, 3 pencils = $1.50, 4 pencils = $2.00, 5 pencils = $2.50. Inequality: 0.50x < 3.

• Total cost for 1 to 5 pencils: 1 pencil = $0.50, 2 pencils = $1.00, 3 pencils = $1.50, 4 pencils = $2.00, 5 pencils = $3.00. Inequality: 0.50x < 2.5.

• Total cost for 1 to 5 pencils: 1 pencil = $0.30, 2 pencils = $0.60, 3 pencils = $0.90, 4 pencils = $1.20, 5 pencils = $1.50. Inequality: 0.30x < 3.

• Total cost for 1 to 5 pencils: 1 pencil = $0.75, 2 pencils = $1.50, 3 pencils = $2.25, 4 pencils = $3.00, 5 pencils = $3.75. Inequality: 0.75x < 3.

2. In a class, students scored the following on a test: 75, 82, 90, 68, and 85. Create a table showing the scores and determine how many students scored less than 80.

• 2

• 4

• 1

• 3

3. A gardener has 20 plants and wants to plant more. Create a table showing the number of plants if he plants 1 to 5 more. Write an inequality to show that the total number of plants should be less than 30.

• Total number of plants if he plants 1 to 5 more: 21, 22, 23, 24, 25.

• 20, 21, 22, 23, 24

• 19, 20, 21, 22, 23

• 21, 22, 23, 24, 25, 26

4. A book costs $12. Create a table showing how many books can be bought with a budget of $50. Write an inequality to represent the number of books that can be purchased.

• 2 books

• 6 books

• 8 books

• 4 books

5. A car can travel 30 miles on a gallon of gas. Create a table showing the distance traveled for 1 to 4 gallons. Write an inequality to show that the distance should be less than 100 miles.

• 1 gallon = 20 miles

• Distance traveled for 1 to 4 gallons: 1 gallon = 30 miles, 2 gallons = 60 miles, 3 gallons = 90 miles, 4 gallons = 120 miles. Inequality: 30g < 100.

• 2 gallons = 80 miles

• 4 gallons = 100 miles

6. A student has 15 stickers and wants to collect more. Create a table showing the total number of stickers if he collects 1 to 5 more. Write an inequality to represent that he wants at least 20 stickers.

• Total stickers collected: 16, 17, 18, 19, 21; Inequality: 15 + x = 20

• Total stickers collected: 16, 17, 18, 19, 20; Inequality: 15 + x ≥ 20

• Total stickers collected: 15, 16, 17, 18, 19; Inequality: 15 + x > 20

• Total stickers collected: 14, 15, 16, 17, 18; Inequality: 15 + x ≤ 20

7. A movie theater has 100 seats. Create a table showing the number of seats filled if 10 to 30 tickets are sold. Write an inequality to show that the number of seats filled should be less than 100.

• Seats filled: 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20.

• Seats filled: 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50.

• Seats filled: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100.

• Seats filled: 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30.

8. A baker makes 50 cookies and wants to sell them. Create a table showing the number of cookies left after selling 5 to 20 cookies. Write an inequality to show that he wants to have at least 10 cookies left.

• 5 cookies: 40

• Cookies left after selling: 5 cookies: 45 6 cookies: 44 7 cookies: 43 8 cookies: 42 9 cookies: 41 10 cookies: 40 11 cookies: 39 12 cookies: 38 13 cookies: 37 14 cookies: 36 15 cookies: 35 16 cookies: 34 17 cookies: 33 18 cookies: 32 19 cookies: 31 20 cookies: 30

• 6 cookies: 39

• 7 cookies: 38

9. A school has 200 students. Create a table showing the number of students if 10 to 50 students join. Write an inequality to represent that the total number of students should be less than 300.

• 200 + x = 300, where 10 <= x <= 50

• 200 + x < 250, where 10 <= x <= 50

• 200 + x < 300, where 10 <= x <= 50

• 200 + x > 300, where 10 <= x <= 50

10. A runner trains for a marathon and runs 5 miles each day. Create a table showing the total miles run over 1 to 7 days. Write an inequality to show that the total miles run should be at least 20 miles.

• Total miles run over 1 to 7 days: Day 1: 5, Day 2: 10, Day 3: 15, Day 4: 20, Day 5: 25, Day 6: 30, Day 7: 35. Inequality: 5d ≥ 20.

• Total miles run over 1 to 7 days: Day 1: 5, Day 2: 10, Day 3: 15, Day 4: 20, Day 5: 25, Day 6: 30, Day 7: 35. Inequality: 5d = 20.

• Total miles run over 1 to 7 days: Day 1: 5, Day 2: 10, Day 3: 15, Day 4: 20, Day 5: 25, Day 6: 30, Day 7: 32. Inequality: 5d > 20.

• Total miles run over 1 to 7 days: Day 1: 5, Day 2: 10, Day 3: 15, Day 4: 25, Day 5: 30, Day 6: 35, Day 7: 40. Inequality: 5d ≤ 20.