Create Inequalities Worksheets Grade 9

Algebra

One Variable

Each printable worksheet below is a full page of practice problems and comes with an answer key that explains how to solve every problem, step by step. Open a worksheet and use the Print / Save as PDF button to download it.

Worksheet 1

7 problems
  1. 2x² - 8x + 6 ≤ 0
  2. Aisha is designing a rectangular vegetable patch with a fixed perimeter of 48 meters. She wants the length to be at least 3 meters more than three times the width. If w represents the width in meters, write and solve an inequality to determine all possible widths that satisfy Aisha's design requirements.
  3. Liam is designing a rectangular garden with a perimeter of 40 meters. He wants the length to be at least 5 meters more than the width. Write an inequality that represents all possible widths (w) in meters for Liam's garden that satisfy this condition.

…and 4 more problems

Open & Print Worksheet 1

Worksheet 2

7 problems
  1. Matiu is saving to buy a new bicycle that costs $455. He already has $95 and plans to save $45 each week. What is the minimum number of weeks he needs to save to afford the bicycle? Write an inequality and solve.
  2. Aisha is designing a rectangular vegetable patch with a fixed perimeter of 80 meters. She wants the length to be at least 10 meters more than three times the width. If w represents the width in meters, which inequality represents all possible widths that satisfy Aisha's design requirements?
  3. 3x² - 12x + 9 ≤ 0

…and 4 more problems

Open & Print Worksheet 2

Worksheet 3

7 problems
  1. Aisha is designing a rectangular parking lot for a new shopping center. The length of the lot must be at least 10 meters more than three times its width. Due to zoning regulations, the area of the parking lot cannot exceed 4000 square meters. If w represents the width of the parking lot in meters, write an inequality that represents all possible widths that satisfy these conditions.
  2. Mason is saving to buy a new video game console that costs $427. He already has $127 and plans to save $37 each week from his allowance. What is the minimum number of weeks he needs to save to afford the console? Write an inequality and solve.
  3. Emma is saving to buy a new bicycle that costs $455. She already has $95 and plans to save $45 each week from her allowance. Write an inequality to represent the minimum number of weeks, w, she needs to save to afford the bicycle, and solve for w.

…and 4 more problems

Open & Print Worksheet 3

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