Inequality Solutions Worksheets Grade 6

1. Emma is organizing a school fundraiser and needs to buy supplies. She has a budget of $350. The decorations cost $125, and she needs to buy snacks that cost $2.50 per person. If she expects between 80 and 100 attendees, write an inequality to determine how many people, p, can attend while staying within her budget.
2. If 3x - 15 ≤ 36, what is the largest integer value of x?
3. A school is planning a field trip and needs to rent buses. Each bus can hold 48 students. If there are 1250 students going on the trip, what is the minimum number of buses the school needs to rent so that all students have a seat? Write your answer as a whole number.

…and 5 more problems

1. Liam is organizing a school fundraiser and wants to raise at least $1200 for new library books. He has already collected $485 from local businesses. The student council can sell raffle tickets for $5 each. Write an inequality to determine how many raffle tickets, t, the students need to sell to reach their fundraising goal.
2. Matiu is drawing a number line to represent the inequality x ≤ 1025. He marks a closed circle at 1025 and shades all the numbers to the left. Which of the following values are solutions to this inequality? Select all that apply: 1025, 1026, 1000, 1050, 1024.
3. Liam is organizing a school field trip to the science museum. The museum charges a flat fee of $200 for the group plus $12 per student. Liam's budget for the trip is $800. Write an inequality to determine the maximum number of students, s, that can attend while staying within the budget.

…and 4 more problems

1. Kaia draws a number line and shades all points to the right of -5, including -5 itself. Which inequality represents the shaded region, and is x = 3 a solution to this inequality?
2. Aroha is drawing a number line to represent the inequality x > -5. She marks -5 with an open circle and shades to the right. Then she asks: 'If I test the value x = -3, is it a solution to this inequality? Explain how the number line shows this.' What should Aroha answer?
3. If 3x - 7 > 14, solve for x.

…and 5 more problems