Real World Inequalities Word Problems

To be a member of the stamp club at school, students must have at least 50 stamps.  Which inequality represents this situation?

• x < 50

• x > 50

• x ≤ 50

• x ≥ 50

Sophia can spend at most $50 on clothes.  Which inequality represents this situation?

• x > 50

• x < 50

• x ≤ 50

• x ≥ 50

No more than 4 people can fit into the sports car. 

• x > 4

• x ≤ 4

• x ≥ 4

• x > 4

The pizza oven needs to be kept on at least 375 degrees. 

• x ≤ 375

• x ≥ 375

• x > 375

• x < 375

Which situation can be represented by the inequality
15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

Sylvia set a goal of saving at least $200 in a savings account.
She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

• x ≥ 28

• x ≤ 28

• x > 28

• x < 28

Cody’s Gym charges a $18 fee to join and $30 per month. Tyler’s Gym charges a $50 fee to join and $20 per month. Use an inequality to determine how many months will you have to go to the gym before Tyler’s gym becomes the better deal.

• 3

• 4

• 5

• 6

Sylvia set a goal of saving at least $200 in a savings account. She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

• x ≥ 28

• x ≤ 28

• x > 28

• x < 28

Destinee began with $45 in her account. She saved $15 every week, She now has more than $205.

• 15w + 45 < 205

• 15w + 45 > 205

• 45a + 15 < 205

• 45a + 15 > 205

Which sentence represents m > 41?

• Mary’s points, m, totaled more than 41

• Calvin ran no less than 41 miles, m

• The temperature, m, was less than 41°F

• The magazines’ cost, m, was not more than $41.