Graph Inequalities Worksheets Grade 7

Algebra

Graph Solutions

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

8 problems
  1. Emma is organizing a school fundraiser and needs to order custom t-shirts. The printing company charges a flat setup fee of $75 plus $8 per shirt. Emma's budget for t-shirts is at most $500. Write an inequality to represent the situation, then determine the maximum number of t-shirts she can order without exceeding her budget.
  2. Mere is buying supplies for a school project. Each package of markers costs $8. Mere has a budget of $50 to spend on markers. What is the maximum number of packages Mere can buy? Graph the solution on a number line.
  3. Aroha is graphing the solution to the inequality 3x - 5 > 7 on a number line. First, solve the inequality. Then, describe what the graph will look like: What type of circle (open or closed) will be at the boundary point, and in which direction (left or right) will the ray be shaded?

…and 5 more problems

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Worksheet 2

8 problems
  1. Emma is organizing a school fundraiser and needs to order custom t-shirts. The printing company charges a flat setup fee of $150 plus $8 per shirt. Emma's budget for t-shirts is at most $1,000. Write an inequality to represent this situation, then determine the maximum number of t-shirts she can order without exceeding her budget.
  2. Emma is organizing a school fundraiser and needs to order custom t-shirts. The printing company charges a flat fee of $150 for setup plus $8 per shirt. Emma's budget for t-shirts is at most $1,000. Write an inequality to represent this situation, then determine the maximum number of t-shirts Emma can order without exceeding her budget.
  3. 2(3x - 7) + 5 ≥ 4(x + 2) - 3

…and 5 more problems

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Worksheet 3

8 problems
  1. Emma is graphing the solution to the inequality 3x - 7 ≤ 11 on a number line. Solve the inequality, then describe the graph. What number is at the boundary point of the solution? (Give the boundary number.)
  2. Noah is graphing the solution to the inequality 4x - 9 > 19 on a number line. He needs to draw an open or closed circle and shade in the correct direction. Describe the number line graph Noah should draw, including the type of circle and the direction of shading.
  3. Graph 5(2x - 15) + 20 ≥ 10x - 55

…and 5 more problems

Open & Print Worksheet 3

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