
Grade 7 | Unit 5 | Lesson 14: Solving Problems with Rational Numbers | Practice Problems
Authored by Illustrative Mathematics
Mathematics
6th Grade
CCSS covered

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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A bank charges a service fee of $7.50 per month for a checking account. A bank account has $85.00. If no money is deposited or withdrawn except the service charge, how many months until the account balance is negative?
10 months
11 months
12 months
13 months
2.
OPEN ENDED QUESTION
3 mins • 1 pt
| Month | Transactions |
|---|---|
| January | -38.50, 126.30, 429.40, -265.00 |
| February | 250.00, -135.20, 35.50, -62.30 |
| March | -14.00, 99.90, -82.70, -1.50 |
| April | -86.80, -570.00, 100.00, -280.10 |
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Tags
CCSS.7.EE.B.3
3.
OPEN ENDED QUESTION
3 mins • 1 pt
A large aquarium of water is being filled with a hose. Due to a problem, the sensor does not start working until some time into the filling process. The sensor starts its recording at the time zero minutes. The sensor initially detects the tank has 225 liters of water in it. The hose fills the aquarium at a constant rate of 15 liters per minute. What will the sensor read at the time 5 minutes?
Evaluate responses using AI:
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Tags
CCSS.HSF.IF.A.2
4.
OPEN ENDED QUESTION
3 mins • 1 pt
Later, someone wants to use the data to find the amount of water at times before the sensor started. What should the sensor have read at the time -7 minutes?
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Tags
CCSS.7.EE.B.3
5.
OPEN ENDED QUESTION
3 mins • 1 pt
A furniture store pays a wholesale price for a mattress. Then, the store marks up the retail price to 150% of the wholesale price. Later, they put the mattress on sale for 50% off of the retail price. A customer just bought the mattress on sale and paid $1,200. What was the retail price of the mattress, before the discount?
Evaluate responses using AI:
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Tags
CCSS.6.RP.A.3C
6.
OPEN ENDED QUESTION
3 mins • 1 pt
What was the wholesale price, before the markup?
Evaluate responses using AI:
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Tags
CCSS.6.RP.A.3D
7.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
Tags
CCSS.HSA-SSE.A.1A
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