NAME ______
For each situation below, identify the variable. Then, use that variable to write an expression which symbolizes that situation.
1. The bill for dinner before the homecoming dance was $120. Write the expression that represents how this bill can be evenly divided by all of those who were at dinner.
- The length of a field is 30 feet longer than the width. Write an expression that represents the length.
- Jimmy and his 5 friends (6 people total) went to Epic deli for lunch. They all order the same special. Write an expression that represents the total amount spent for lunch.
- Mike has 200 homecoming t- shirts. He gives some away. Write an expression that represents the total number of shirts remaining.
Symbol / Key Phrases
= / equals, is, is the same as, is equal to
is fewer than, is less than
is more than, is greater than
≤ / is at most, no more than, is less than or equal to
≥ / is at least, no less than, is greater than or equal to
Represent each of the following as an algebraic inequality.
5) x is at most 30______
6) the sum of 5x and 2x is at least 14______
7) the product of x and y is less than or equal to 4______
8) 5 less than a number y is under 20______
9) Which statement is modeled by 2p + 5 < 11?
(a)The sum of 5 and 2 times p is at least 11.
(b)Five added to the product of 2 and p is less than 11.
(c)Two times p plus 5 is at most 11.
(d)The product of 2 and p added to 5 is 11.
Establish a variable, write an inequality to represent the scenario, and solve. Write a complete sentence to describe your solution.
10) Jimmy wants to buy a new snowboard. He needs at least $370 to get the snowboard he wants. He was given $125 for his birthday from his grandparents. He is going to earn the rest by mowing lawns this summer. He earns $35 per lawn. How many lawns will he need to mow to buy the snowboard?
11) Chloe has at most $100 to spend at the outlet mall. She wants to buy a swimsuit for $54 and spend the rest on earring and bracelet sets that cost $8 per set. How many sets can she buy?
12) Exotic car rental charges $89 per day plus $0.70 per mile to rent a car. You want to rent a car for a day to impress your date. If you can spend no more than $120, how many miles can you drive the car?
13) Ashton has $50 to spend at the amusement park. He has a season pass and got in for free. He spent $18 on lunch and a drink. He is going to play games that cost $2 each. How many games can he play?
14) Jackie is writing a novel. She has already written 156 pages and averages 9 pages a day. If her publishing house requires the novel to be at least 300 pages. In how many days can she finish the novel?