7th Grade Two-Step Inequalities Worksheet (PDF)
This grade 7 inequalities worksheet for 7th Grade covers two-step inequalities (Common Core 7.EE.B.4b), with a free PDF to print.
These 20 problems practice solving two-step inequalities, graphing solution sets on a number line, and interpreting solutions in context (Common Core 7.EE.B.4b). They start with the basic skill, move to different kinds of numbers and multistep work, and end with six word problems set in everyday situations such as shopping, sports, and travel.
Show every step of your work, and use the answer key only after you have tried each problem.
Grade 7 · Common Core State Standards: 7.EE.B.4b
Grade 7 inequalities worksheet: exercises 1 to 10
Exercise 1 – Greater than
Exercise 2 – At most
Exercise 3 – Divide by 2
Exercise 4 – Reverse the symbol
Exercise 5 – With parentheses
Exercise 6 – Decimals
Exercise 7 – Negative at most
Exercise 8 – Fraction coefficient
Exercise 9 – Subtract from a constant
Exercise 10 – Negative outside
Exercises 11 and up
Exercise 11 – Is it a solution?
Exercise 12 – Read the graph
Write the inequality shown by the graph. Name two numbers in the solution set and one that is not.
Exercise 13 – Ticket budget
Maya has $40. Each ticket costs $6 and there is one $4 fee. Write and solve an inequality for the number of tickets t she can buy, and state the greatest whole number.
Exercise 14 – Earning goal
Sofia needs at least $85. She has $13 and earns $12 per hour babysitting. Write and solve an inequality for the hours h.
Exercise 15 – Elevator limit
An elevator holds at most 1,000 pounds. A worker weighs 150 pounds and each box weighs 45 pounds. Write and solve an inequality for the number of boxes b, then state the greatest whole number of boxes.
Exercise 16 – Cooling down
Exercise 17 – Savings plan
Priya has $120 and spends $15 each week. She wants to keep at least $30. Write and solve an inequality for the number of weeks w.
Exercise 18 – Taxi fare
A taxi charges $3.50 plus $2.25 per mile. Jamal has $20. Write and solve an inequality for the miles m, then state the greatest whole number of miles.
Exercise 19 – Phone minutes
Exercise 20 – Car wash goal
Key facts behind this grade 7 inequalities worksheet
- Solve \(px + q > r\) with the same steps as an equation.
- Reverse the symbol when you multiply or divide both sides by a negative number.
- Use an open circle for \(<\) and \(>\), and a closed circle for \(\le\) and \(\ge\).
- Shade the side of the number line that contains the solutions.
- Interpret the solution set in the context of the problem.
How to use this grade 7 inequalities worksheet
Work through the exercises in order: they go from simple to challenging. Write every step on paper, then compare with the solutions page and redo any exercise you missed the next day.
Download the grade 7 inequalities worksheet as a PDF with the button below and keep it with your notes.
All Grade 7 chapters: Grade 7 math.
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