Depreciation and Interest Sequences
Written by Adi Ackerman, Head Teacher
"Depreciation and Interest Sequences" is written for 8th Grade (Ages 13-14). A 7th grader who is already steady on algebra can use it too, and an older student can use it as a short review.
8th grade math worksheet: solve 5 percent growth and decay problems, such as a $24,000 car that loses 15% of its value each year. Answer key included. Part of our sequence word problems algebra collection.
How do I use this worksheet?
Start with Sequence Word Problems With Negative Change, then Depreciation and Interest Sequences. Use Linear or Exponential Word Problems and the challenge review once students can set up both kinds of model.
What students will practice
- Students will multiply by a growth factor such as 1.05 or a decay factor such as 0.85 each year.
- Students will find values after several years and round money to the nearest cent.
- Students will find the first year a value falls below a target, such as a bike under $200.
Curriculum Links
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FAQ
How do I use this sequence word problems worksheet?
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Start with Sequence Word Problems With Negative Change, then Depreciation and Interest Sequences. Use Linear or Exponential Word Problems and the challenge review once students can set up both kinds of model.
What does this worksheet teach?
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Solve 5 percent growth and decay problems, such as a $24,000 car that loses 15% of its value each year. The directions on the page read: Show your work in the box. Round money to the nearest cent and people to the nearest whole person. The page opens with a worked example, and an answer key is included.
Can I use this sequence word problems worksheet for homeschool or classroom?
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Yes, both. We made it for 8th grade algebra, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
How do you know if a word problem is linear or exponential?
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If the amount goes up or down by the same number each step, it is linear. If it is multiplied by the same number each step, such as doubling or keeping 3/4 of its height, it is exponential. Linear or Exponential Word Problems has students write L or E before solving.
How do you find the value of a car that loses 15% each year?
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Keeping 85% of the value means multiplying by 0.85 each year. A $24,000 car is worth 24,000 × 0.85³ after 3 years. Depreciation and Interest Sequences practices this with money rounded to the nearest cent.
How do you find the first term from two later terms?
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Divide the change between the terms by the number of steps to get d, then count back. If row 4 has 34 seats and row 9 has 54, d = 20 ÷ 5 = 4, so row 1 has 22 seats.
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