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Exploring Direct Variation in Algebra

Exploring Direct Variation in Algebra

Assessment

Interactive Video

Mathematics

6th - 10th Grade

Practice Problem

Medium

CCSS
HSF-LE.A.1B, 8.F.A.1, 6.EE.C.9

+1

Standards-aligned

Created by

Ethan Morris

Used 22+ times

FREE Resource

Standards-aligned

CCSS.HSF-LE.A.1B
,
CCSS.8.F.A.1
,
CCSS.6.EE.C.9
CCSS.HSF.IF.A.1
,
This video tutorial explains the concept of direct variation, a linear relationship between two variables where one variable is a constant multiple of the other. It covers how to identify direct variation, calculate the constant of variation (K), and solve problems using the direct variation equation y = KX. The tutorial includes examples and applications, such as determining if data in tables represent direct variation and solving real-world problems like calculating walking distances over time.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between X and Y in direct variation?

X and Y are inversely proportional.

X and Y have no relationship.

Y varies directly with X.

Y is always greater than X.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If Y varies directly with X and Y = 8 when X = 2, what is the constant of variation (K)?

2

6

4

8

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given the equation Y = 4X, what is the value of Y when X = 7?

11

21

35

28

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If Y = 9 when X = -4, what is the constant of variation (K)?

-2.25

-4.5

-1.5

-2.75

Tags

CCSS.HSF-LE.A.1B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For the table with values (X, Y): (2, 4), (5, 10), (7, 14), what is the constant of variation (K)?

2

3

1

4

Tags

CCSS.HSF-LE.A.1B

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Does Y vary directly with X in the table with values (X, Y): (1, 3), (3, 5), (7, 12)?

Yes, because K is constant.

No, because K is not constant.

Yes, because Y is always greater than X.

No, because X is always greater than Y.

Tags

CCSS.HSF-LE.A.1B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For the table with values (X, Y): (4, 12), (7, 21), (-9, -27), what is the constant of variation (K)?

5

3

2

4

Tags

CCSS.HSF-LE.A.1B

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