Grade 9 Inequality Word Problems

Grade 9 Inequality Word Problems

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?

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.