Inequality Word Problem Practice

Front

What does the phrase 'at least' indicate in an inequality?

Back

It indicates that the value is greater than or equal to a certain number, represented by the symbol ≥.

Front

If Lazer Zone charges $15 plus $6 per person, and Andrea has a maximum of $100 to spend, which inequality represents how many people she can invite?

Back

15 + 6x ≤ 100.

Front

How do you represent the cost of a taxi ride that charges a flat rate plus a per mile charge?

Back

If the flat rate is $1.75 and the charge is $0.65 per mile, the inequality for spending no more than $10 is 1.75 + 0.65m < 10.

Front

What inequality represents Mrs. Scott's budget for a jacket and skirt if the jacket costs $20 more than 3 times the price of the skirt?

Back

3x + 20 ≤ 120.

Front

What inequality represents the minimum hours Joan needs to babysit to buy a $100 graphing calculator if she earns $5 per hour and has $10 already?

Back

5x + 10 ≥ 100.

Front

What does the symbol '≤' mean in an inequality?

Back

It means 'less than or equal to'.

Front

What does the symbol '≥' mean in an inequality?

Back

It means 'greater than or equal to'.

Front

If a person can spend no more than $50 on snacks, which inequality represents this situation?

Back

x ≤ 50, where x is the total amount spent on snacks.

Front

How would you express the situation where a student must score at least 75% to pass a test?

Back

Score ≥ 75.

Front

What is the first step in solving the inequality 3x + 5 < 20?

Back

Subtract 5 from both sides to get 3x < 15.