Math Grade 6 Quiz Variables and Relationships in RealWorld Problems – 6.EE.C.9
The standard CCSS.MATH.CONTENT.6.EE.C.9 focuses on using variables to symbolize two quantities in realworld scenarios that change in correlation to each other. It requires students to write an equation expressing one quantity, the dependent variable, in terms of the other, the independent variable. Students must analyze the relationship between the two using graphs and tables, and connect these to the equation. Understanding this concept is crucial in various fields, including physics, economics, and environmental science, where variables are interdependent.
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Question 1 of 10
1. Question
In the equation H = 12 + 3D, where H is the total height and D is the number of days, what is the meaning of “12” in this context?
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Question 2 of 10
2. Question
A graph depicts that the more lemonade stands set up in a neighborhood, the lesser the amount of money each stand earns. What does this indicate?
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Question 3 of 10
3. Question
If the number of tickets sold for a concert is the independent variable, what could be the dependent variable?
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Question 4 of 10
4. Question
If a car travels at a constant speed, and the equation d = 60t represents the relationship between distance d and time t, what does “60” represent in this equation?
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Question 5 of 10
5. Question
A company produces pens, and the total cost of production depends on the number of pens produced. Which variable would be considered the independent variable?
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Question 6 of 10
6. Question
In the equation y = 3x, if the value of x (independent variable) increases, what happens to the value of y (dependent variable)?
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Question 7 of 10
7. Question
A graph shows that as the number of hours spent on homework increases, the grade on a test also increases. What kind of relationship is this?
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Question 8 of 10
8. Question
In a problem involving motion at constant speed, which pair of quantities would most likely be the dependent and independent variables?
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Question 9 of 10
9. Question
A cafĂ© notices that the more advertising posts they make on social media per week, the more customers visit their website. If they represent this relationship by the equation C = 5P, what does P represent?
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Question 10 of 10
10. Question
If a table indicates that for every 2 hours studied, a student’s grade increases by 5%, what kind of relationship exists between hours studied and the grade increase?
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