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Proportions: Graphs, Tables, and X-Multiplication

Mathematics

7th Grade

CCSS covered

Used 63+ times

Proportions:  Graphs, Tables, and X-Multiplication
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20 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Media Image

Is this line proportional? If not, why? If yes, what is the constant?

Evaluate responses using AI:

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Answer explanation

The line goes through (0,0), so it might be.

Find 2 points. I choose (1,4) and (-1, -4).

The constant is y over x, or y/x. So, using one set of coordinates, if this is a constant it would be 4/1, or 4.

I used that 4 to see if it works with the other set of coordinates.

-1 * -4=4

Yes, it worked with the other set coordinates.

k=4

Tags

CCSS.7.RP.A.2D

2.

OPEN ENDED QUESTION

3 mins • 1 pt

Evaluate responses using AI:

OFF

Answer explanation

12 * x=12x

10 * 15 = 150

12x = 150

/12. /12

x= 12.5

Tags

CCSS.5.NF.B.5B

3.

OPEN ENDED QUESTION

3 mins • 1 pt

Media Image

Is this table proportional? If yes, what is the constant? If no, why not?

Evaluate responses using AI:

OFF

Answer explanation

Yes-each x is multiplied by 1/4 to get the y.

k=1/4

Tags

CCSS.7.RP.A.2A

4.

OPEN ENDED QUESTION

3 mins • 1 pt

Media Image

Is this line proportional? If not, why? If yes, what is the constant?

Evaluate responses using AI:

OFF

Answer explanation

This line does not go through (0,0). It is not proportional.

Tags

CCSS.7.RP.A.2D

5.

OPEN ENDED QUESTION

3 mins • 1 pt

Media Image

Is this table proportional? If yes, what is the constant? If no, why not?

Evaluate responses using AI:

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Answer explanation

No. Each x has a different number to multiply, to get the answer to y.

Tags

CCSS.7.RP.A.2B

6.

OPEN ENDED QUESTION

3 mins • 1 pt

Evaluate responses using AI:

OFF

Answer explanation

21 * x= 21x

7 * 9=63

21x=63

/21. /21

x=3

7.

OPEN ENDED QUESTION

3 mins • 1 pt

Media Image

Is this line proportional? If not, why? If yes, what is the constant?

Evaluate responses using AI:

OFF

Answer explanation

The line goes through (0,0), so it might be.

Find 2 points. I choose (1,2) and (2, 4).

The constant is y over x, or y/x. So, using one set of coordinates, if this is a constant it would be 2/1, or 2.

I used that 4 to see if it works with the other set of coordinates.

2 * 2=4

Yes, it worked with the other set coordinates.

k=2

Tags

CCSS.7.RP.A.2D

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