Grade 7 Inequalities: Solving Word Problems & Combining Terms

A school is planning a field trip. The cost per student is $15, and they want to keep the total cost under $300. Set up an inequality to represent the number of students, s, that can attend the trip.

• s > 20

• s < 15

• s < 20

• s = 25

Tags

CCSS.6.EE.B.8

Maria has 3 times as many stickers as her brother. If her brother has x stickers, and together they have less than 50 stickers, write an inequality to represent this situation.

• 4x < 50

• 2x < 50

• x + 3 < 50

• 3x < 50

Tags

CCSS.6.EE.B.8

A local bakery sells cupcakes for $2 each. If they want to make at least $100 in sales, how many cupcakes, c, do they need to sell? Set up the inequality.

• c >= 50

• c < 50

• c <= 50

• c > 50

Tags

CCSS.6.EE.B.8

Tom is saving money to buy a video game that costs $60. He currently has $20 and saves $5 each week. Write an inequality to show how many weeks, w, it will take for him to have enough money.

• w >= 8

• w > 8

• w < 8

• w <= 8

A gym has a maximum capacity of 150 members. If there are currently y members, write an inequality to represent how many new members can join without exceeding the capacity.

• x < 150 + y

• x ≥ 150 - y

• x = 150 - y

• x ≤ 150 - y

Tags

CCSS.6.EE.B.8

A farmer has 120 apples and wants to pack them into bags of 8 apples each. Write an inequality to find out how many bags, b, he can fill without running out of apples.

• b >= 16

• b = 10

• b < 15

• b <= 15

Tags

CCSS.6.EE.B.8

A concert hall has 200 seats. If x seats are already sold, write an inequality to represent how many more tickets can be sold without exceeding the seating capacity.

• x ≤ 200

• x = 200

• x > 200

• x < 200

Tags

CCSS.6.EE.B.8

Lisa is reading a book that has 300 pages. If she reads p pages per day, and she wants to finish the book in less than 10 days, set up an inequality to represent this situation.

• 10p < 300

• p > 30

• p < 30

• 10p = 300

Tags

CCSS.6.EE.B.8

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer wants to spend no more than $100, write an inequality to represent the number of miles, m, they can drive.

• m ≤ 300

• m ≤ 200

• m ≤ 150

• m ≤ 250

A student needs to score at least 75% on a test to pass. If the test has 40 questions, write an inequality to represent the minimum number of questions, q, the student needs to answer correctly.

• q <= 25

• q >= 30

• q >= 35

• q < 30

Tags

CCSS.6.EE.B.8