8 original questions from New Regents. The worksheet, answer key, and browser practice are free.
Criteria and Constraints 4 questions
Criteria and Constraints
New Regents original practice • Name: ____________________ Date: __________ Show your work for written answers.
A design constraint is a requirement a design must meet. A preference can help rank the designs that satisfy all constraints.
Question 1
A sample rack must fit in an opening 25 cm wide. Which statement expresses that constraint?
- The rack should cost as little as possible.
- The rack should be the lightest available.
- The rack width must be no more than 25 cm.
- The rack should be easy to label.
Question 2
Two designs meet all requirements. One is lighter and the other is cheaper. Explain what information would help choose between them.
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Question 3
A design costs the least but fails a required stability test. What should the team do when choosing among tested designs?
- Choose it because it costs the least.
- Exclude it from designs that meet all constraints.
- Ignore stability whenever cost differs.
- Average the stability and cost numbers without units.
Question 4
A report gives the cost of a design but omits its maximum safe load. Explain why the report is insufficient if safe load is a constraint.
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Prototype Sample Holders 4 questions
Prototype Sample Holders
Use the information below to answer the questions.
A lab compares three sample holders. A holder must support at least 4.0 kg and fit within a 30 cm width. Among holders that meet both requirements, the lab prefers the lowest cost.
| Holder | Maximum supported load (kg) | Width (cm) | Cost |
|---|---|---|---|
| A | 5.0 | 28 | $12 |
| B | 3.8 | 26 | $8 |
| C | 4.0 | 30 | $10 |
Question 5
Which holders satisfy both requirements?
- A only
- B only
- A and C
- B and C
Question 6
Choose a holder. Use the table to explain how it meets the requirements and the cost preference.
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Question 7
If the width limit changes to 29 cm, which holder meets the revised width requirement and the original load requirement?
- A
- B
- C
- None
Question 8
Identify one improvement that would make holder B meet the original requirements. State the minimum measured value needed.
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