Grade 9 Inequality Word Problems
A worksheet for Grade 9 students to practice solving real-world problems using linear inequalities.
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Grade 9 Inequality Word Problems
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Read each word problem carefully, set up an inequality, solve it, and graph the solution on a number line where applicable.
1. Sarah wants to buy a new bicycle that costs $350. She has already saved $100 and plans to save an additional $25 per week. How many weeks will it take her to save at least $350?
Write the inequality:
Solve the inequality:
Graph the solution (if applicable):
2. A company manufactures light bulbs. The cost to produce one light bulb is $1.50, and the company sells each bulb for $4.00. If their fixed monthly costs are $2000, how many light bulbs must they sell to make a profit of at least $1000?
Write the inequality:
Solve the inequality:
3. The perimeter of a rectangular garden is at most 60 feet. If the length of the garden is 20 feet, which inequality represents the possible width (w) of the garden?
20 + w ≤ 60
2(20 + w) < 60
2(20 + w) ≤ 60
20w ≤ 60
4. A taxi charges a flat fee of $3.00 plus $2.50 per mile. If a passenger has at most $20 to spend on a taxi ride, the maximum number of miles they can travel is .
5. If you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign.
True
False