DRAFT -Solving Practical Problems - Linear Inequalities

Last updated over 1 year ago
9 questions
Note from the author:
The student will solve practical problems involving inequalities.
Students must show all work on a paper copy to receive full credit for each question.
The student will solve practical problems involving inequalities.
Students must show all work on a paper copy to receive full credit for each question.
1

The community center rents its gymnasium for $150 plus $75 per hour.

If Nicco has a budget of at most $425, then what is the maximum number of hours Nicco can use the gymnasium?

1


The width, w, of a rectangle is 6 feet less than the length. The perimeter is greater than 88 feet. Write the inequality that expresses all possible widths, in feet, of the rectangle.

1

Jerry is paid $150 a week plus a commission of $25 on each device he sells. How many must he sell to make a minimum of $700?

1

Sam has $15.50 to spend on soda at a concert. A souvenir cup cost $7.50 and each refill cost $2.50. She can afford, at most, how many refills?

1

Tamika wants her mean grade point average (GPA) for her 4 core classes of Math, English, Science, and Social Studies to be at least a 3.75.

She earned 3.45 grade points in Math, 3.9 grade points in English, and 3.6 grade points in science.

Which inequality could be used to determine the least number of grade points Tamika needs to earn in Social Studies to maintain a minimum GPA of 3.75?

1

You have $30.00 and want to go to an amusement park that charges $8.00 for admission and $1.50 for each ride.

Choose the inequality below that would be used to find the maximum number of rides you can go on.

1

Ryan rents a car for $123 plus 16 cents a mile. Which inequality below represents how far can he travel, in miles m, if he can spend a maximum of $300?

1

Terrence has a collection of 50 toy cars. Each new car he adds to his collection will cost him $7.

If Terrence saves $200 over the next year, what is the most number of new cars he can purchase?

1


A rectangular wall has a length that is two times its width. If its perimeter is greater than 72, find all possible lengths