Math Grade 7 Quiz Representing Proportional Relationships by Equations – 7.RP.A.2.C
In this segment of the Common Core State Standards, students are tasked with understanding how to represent proportional relationships using equations. This involves recognizing that in a proportional relationship, quantities vary in such a way that one quantity is a constant multiple of the other. This constant is often referred to as the ‘constant of proportionality.’ Through the standard, students learn to denote this relationship using equations like t = pn, where ‘t’ represents the total cost, ‘p’ is the constant price per item, and ‘n’ is the number of items.
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Question 1 of 10
1. Question
If 5 sandwiches cost $20, which equation represents the proportional relationship between the total cost (t) and the number of sandwiches (n)?
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Question 2 of 10
2. Question
A car travels 300 miles on 10 gallons of gas. What equation represents the proportional relationship between the distance driven (d) and the amount of gas used (g)?
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Question 3 of 10
3. Question
If a packet of 3 pens costs $6, what equation shows the relationship between the total cost (t) and the number of packets (p)?
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Question 4 of 10
4. Question
A company pays $80 for 4 hours of work. Which equation represents the relationship between the total payment (t) and the hours worked (h)?
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Question 5 of 10
5. Question
If 12 cupcakes require 3 cups of flour, what equation represents the relationship between the number of cupcakes (c) and cups of flour (f)?
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Question 6 of 10
6. Question
A plant grows 15 inches over 3 months. What equation shows the proportional relationship between the height of the plant (h) and the time in months (m)?
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Question 7 of 10
7. Question
A store sells 8 chocolates for $24. What equation would represent the total cost (t) in relation to the number of chocolates bought (n)?
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Question 8 of 10
8. Question
If a school buys 5 notebooks for $15, which equation represents the relationship between the total cost (t) and the number of notebooks (n)?
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Question 9 of 10
9. Question
A train travels 90 miles in 3 hours. What equation best represents the relationship between the distance (d) and time (t)?
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Question 10 of 10
10. Question
If a recipe calls for 7 cups of sugar to make 14 cakes, what equation represents the relationship between the number of cakes (c) and the cups of sugar (s)?
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