U3 Day 3 Notes: Writing Real-World Inequalities
A-CED.1: I can set up an inequality to model a real-world problem with one unknown variable. I can solve this inequality to answer the real world problem.
Less than*Can’t be more*
Fewer than / Less than or equal to ≤
*Can be or can be less*
At most, maximum, is no more than
More than
*Has to be more*
Greater than / More than or equal to ≥
*Can be or can be more*
At least, minimum, no less than
Question / What do we know? / Answer
1. A parking lot holds 75 cars. There are 35 cars in the lot already. Write the inequality that can be used to show all of the numbers of cars, c, which can still park in the lot. / Can you park more than 75 cars?
Yes No
Can you park exactly 75 cars?
Yes No
“Total” Amount: ______ / Inequality:
2. You are allowed to eat 8 pieces of candy and you have already eaten 5. Find the possible amount of pieces of candy you can eat today. / Can you eat more than 8 candy?
Yes No
Can you eat exactly 8 candy?
Yes No
“Total” Amount: ______/ Inequality:
3. Sam’s parents let him go to the circus but told him to spend no more than $15. Each ride costs $3. Write an inequality to model the situation. / Can you spend more than $15?
Yes No
Can you spend exactly $15?
Yes No
“Total” Amount: ______/ Inequality:
4. Sally was excited to know that she bought 8 pairs of jeans and spent less than $96. Each pair of jeans cost the same amount. Write an inequality to model the situation. / Did she spend more than $96?
Yes No
Did she spend exactly $96?
Yes No
“Total” Amount: ______/ Inequality:
5. You have a $25 gift card to spend at Taco Bell. You decide that you want to spend the entire gift card on 7-layer burritos that cost $2.50 each. / Can you spend more than $25?
Yes No
Can you spend exactly $25?
Yes No
“Total” Amount: ______/ Part A: Write an inequality that shows how many 7-layer burritos you can buy.
Part B: How many 7-layer burritos can you buy?
6. You are at a mall and you have $40. You have already spent $7 on lunch. / Can you spend more than $40?
Yes No
Can you spend exactly $40?
Yes No
“Total” Amount: ______/ Part A: Which inequality shows the possible amount of money you can still spend at the mall?
Part B: How much money do you have left?
7. You are required to turn in at least 25 homework assignments in order to pass your science class. So far you have turned in 3. / Can you turn in more than 25 homework assignments?
Yes No
Can you turn in exactly 25 homework assignments?
Yes No
“Total” Amount: ______/ Part A: Which inequality shows the possible number of homework assignments that you still need to turn in?
Part B: How many homework assignments do you still need to turn in?