# Algebra worksheet

1.Determine whether the equation represents a direct variation. If it does, find the constand of variation. 2y= 5x + 1

Not a direct variation
Direct variation, constant of variation is 5/2
Direct variation, constant variation is 2/5
Direct variation, constand of variation is 1-2/5

2. Determine whether the equation represents a direct variation. If it does, find the constant of variation.
-12x=6y

Not a direct variation
Direct variation, constant of variation is 1/2
Direct variation, constant variation is 2
Direct variation, constand of variation is -2

3. Determine whether the equation represents a direct variation. If it does, find the constant of variation.

0.7x-1.4y=0

Not a direct variation
Direct variation, constant of variation is 1/2
Direct variation, constant variation is 2
Direct variation, constand of variation is -2

4. Suppose y varies directly with x. Write a direct variation equation that relates x and y.
y= -10 when x=2

y= -5x
y= -1/5x
y=5x
y=1/5x

5.Suppose y varies directly with x. Write a direct variation equation that relates x and y.

y=10.4 when x =4

y= 3.4x
y=3.8x
y=3.2x
y=2.6x

6. Suppose y varies directly with x. Write a direct variation equation that relates x and y.
y= 7 1/2 when x =3

y= 3/2x
y= 2/3x
y=5/2x
y=2/5x

7. graph the direct variation equation.
y= 1/3x

8.graph the direct variation equation.
y= -1/2x

9. For the data in the table, tell whether y varies directly with x. if it does, write an equation for the first direct variation.
x y
3 5.4
7 12.6
12 21.6

Not a direct variation
Direct variation, y= 1.8x
Direct variation, y= 4x
Direct variation, y= 5/9x

10.For the data in the table, tell whether y varies directly with x. if it does, write an equation for the first direct variation.

x y
-2 1
3 6
8 11

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1. No one here will do your whole worksheet for you, but my suggestion to you is the same I give my granddaughter: Go talk to your teacher, and set up a tutoring time with him.

After you meet with your new tutor next week, you may or may not need to do this again, but you need help now! Talk to your teacher!!

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👩‍🏫
Writeacher
2. The whole assignment seems to deal only with one simple concept, a direct variation

Sometimes text or your notes have definitions that are difficult to understand.
Here is the definition that is easy to understand:
A direct variation gives you an equation that contains no constants, and there are no exponents on the two variables.

e.g. y = 8x is a direct variation,
but y = 8x + 4 is NOT, since I see a constant of 4

a direct variation can be written in the form
y = kx , where k is the constant of variation

#1, not a variation, I see a +1 sitting there as a constant
#2, yes it is a direct variation:
-12x = 6y
6y = -12x
y = -2x
so the constant of variation is -2 , if y varies directly with x
or
-12x = 6y
x = -(1/2)x
now the constant of variation is -1/2 , if x varies directly as y
so it depends how you express the equation, either in terms of x or in terms of y

#3,
.7x - 1.4y = 0
.7x = 1.4y
1.4y = .7x
y = (.7/1.4)x = (1/2)x
so , yes it is, and the constant of variation is 1/2

From #4 on, you have to first find the equation.
I will do #4, you try the remaining.

#4, they tell us it is a direct variation, so it must look like
y = kx
They give us x=2 when y = -10
let's plug in those values:
-10 = k(2)
2k = -10
k = -5
aaahhhh, so y = -5x is our equation

#6, same way, just some fractions to deal with

#7, to graph, pick any x, and find the y to get ordered pairs,
e.g. let x = 3, then y = (1/3)(3) = 1, --> point(3,1)
let x = 9, then y = (1/3)(9) = 3 ---> point (9,3)
plot those two points, and join with a straight line

Notice how I picked multiple of 3's for my x's so I could take 1/3 of the x without ending up with fractions?

#8 , same as #7, pick multiples of 2 for your x's

#9 and #10 are the same type
#9
assume it is a direct variation, then its equation must be
y = kx
use the first given data: x = 3, y = 5.4
then 5.4 = k(3)
3k = 4.5
k = 1.5
equation is y = 1.5x
do the other points satisfy our equation?
for (7, 12.6)
is 12.6 = 1.5(7) ?
12.6 = 10.5 ??? NO, so the given data is NOT a direct variation

#10 same way

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1 A
2 D
3 c
4 A
5 C
6 D
7 A
8 C
9 B
10 A
thank you @Reiny

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4. @tbh and @Reiny are right! Those are the correct answers.

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5. TBH all right but 3 cuase 3 is B

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6. TBH and Answer are correcto mundo!

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7. 3 is b

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8. Hjshhsjsjs

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9. tbh is right, except for 3. The answer to 3 is b.

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10. thank you so much

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11. this isnt a "worksheet" this is a practice in algebra thats a grade

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12. still right in 2017 100% with 3 as B. and yeah this is a connexus practice which counts for 0% of your overall grade, lol.

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13. man I feel ya, whenever my mom tries to help me with algebra she yells at me when I don't understand

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14. Thank you so much everyone!!!!!!! 9thgradestudent If you see this a good website is
Mathifun and purplemath
Hope all of you have a great day!! help math answer y maths x lifted XD LOL!!

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15. and @Xavier there are good websites!!

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16. Well practice still counts apparently

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17. Same Xaiver

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18. Correct ;)

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19. 3 is B to get 100%

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20. 1. A
2. D
3. B
4. A
5. C
6. D
7. A
8. C
9. B
10. A

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21. is this for connexus?

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22. thank you so much sam!!!!

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23. @Sam is correct!

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24. Okay Okay Okay @Sam IS Correct, But That's Not What I'm Commenting About, What I I'm Is WriteTeacher Even A Teacher Because I've Been Working As A Teacher/Foster Care For 7 Years Now and That I Not How You Treat Someone Who's Struggling As A Student and At Home, Shame On You.

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25. 5 is b

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26. if you think you know me you dont because im a potato..where is my hot suace....? i miss that..

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27. I find it absolutely hilarious that Writeacher thought nobody would help a homie cheat on a website that is used nearly exclusively for cheating.

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A
D
B
A
C
D
A
C
B
A
Trust me I got 100% on the test

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29. For connexus Unit 6 Lesson 2 practice:
1. A (Not a direct variation)
2. D (direct, -2)
3. B (direct, 1/2)
4. A (y= -5x)
5. C (5/2x)
6. D (y= 2.6x)
7. A
8. C
9. B (Direct, 1.8x)
10. Not a direct variation
Hope this helped :)

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30. Hey I'm a Connexus student too!

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31. connexus helper is right
10/10 100%

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32. tbh your are correct on all but one 5 is not C

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33. I only come here to check my answers, not to cheat.

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34. If you are wanting to go on to Algebra l Unit 6 Lesson 2's quiz (please check these are valid answers on your quiz) and want to cheat/check before you submit, here you go:

1. D / 21
2. B / 3/4
3. A / 1/4
4. B / 200
5. A / n=9.48t

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35. 3 is B not C tbh

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36. Thanks, I came here to see an explanation on how to solve the problem and you guys helped alot

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37. Just finished the practice-
1.Not a direct variation
2.D Direct -2
3.B Direct 1/2
4.A -5x
5.C 5/2x
6.D 2.6x
7.A
8.C
9.B Direct 1.8x
10.Not a direct variation
I seriously hope that this helps those of you who need it. Math can be hard but I suggest taking a look at these answers and trying to connect them to the problem. Maybe you'll see the connection and become familiar with solving similar problems to them in the future! Anyway, best of luck to you all!

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1 A
2 D
3 B
4 A
5 C
6 D
7 A
8 C
9 B
10 A

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39. Dear Anyone-Who-Thought-The-Same-Thing-I-Did,

There are a few questions at th top that are mixed up but if you listen to Reiny and tbh follow there exact letter answers and don't change any besides 3 (which is actually B) then you will pass 10/10 100%

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40. Gosh people this already be 2020

**Update on earth, We're living in a global pandemic with no cure to it**

Who would have thought

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41. I checked my answers with I'm the best ;) haha jk you are :), Twenty One Co-Pilots, Connexus helper :), Anonymous, and Sam. My answers mached up with those people so thanks to all of them.
1. A. Not a direct variation
2. D. direct variation, constant of variation is -2
3. B. direct variation, constant of variation is 1/2
4. A. y = -5x
5. C. y = 5/2x
6. D. y = 2.6x
7. A.
8. C.
9. B. direct variation, y = 1.8x
10. A. Not a variation
100% 10/10

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