Error Analysis: Find, describe & correct the error that a student has made while solving the equation: LaTeX: 4=-2\left(x-3\right)4 = − 2 ( x − 3 ) Step Number Equation 1 LaTeX: 4=-2\left(x-3\right)4 = − 2 ( x − 3 ) 2 LaTeX: 4=-2x-64 = − 2 x − 6 3 LaTeX: 4+6\:=\:-2x\:-\:6\:+\:64 + 6 = − 2 x − 6 + 6 4 LaTeX: 10\:=\:-2x10 = − 2 x 5 LaTeX: \frac{10}{-2}=-\frac{2x}{-2}10 − 2 = − 2 x − 2 6 LaTeX: -5=x

Answers

Answer 1

Given:

[tex]4=-2\left(x-3\right)[/tex]

To find:

The error that a student has made while solving the equation.

Solution:

We have,

[tex]4=-2\left(x-3\right)[/tex]

Using distributive property, we get

[tex]4=-2(x)-2(-3)[/tex]

[tex]4=-2x+6[/tex]

Subtract 6 from both sides.

[tex]4-6=-2x+6-6[/tex]

[tex]-2=-2x[/tex]

Divide both sides by -2.

[tex]1=x[/tex]

The value of x is 1.

In step 2, the distributive property is not used properly because when -2 is distributive with -3 then we get 6 instead of -6.

Therefore, the student has made error in step 2.


Related Questions

How many millimeters are in 1 centimeter?​

Answers

Answer:

10

Step-by-step explanation:

Answer:

10!

Step-by-step explanation:

If you need to find how many millimeters are in a certain amount of cm's, you can multiply the length (amount of cm) by 10, since there are 10 millimeters in a cm.

Jackson has 2,000 baseball cards in his collection. Gabe has 110 as many baseball cards in his collection as Jackson. How many baseball cards does Gabe have in his collection?
Enter your answer in the box

Answers

Answer:

220000

Step-by-step explanation:

2000x110=220000

Why does he have so man though???

Answer:

200 cards

Step-by-step explanation:

Given: Jackson has 2,000 baseball cards in his collection. Gabe has  as many baseball cards in his collection as Jackson.

To Find: How many baseball cards does Gabe have in his collection.

Solution:

Total number of cards Jackson has in his collection

Let number of cards Gabe has =

Now,

Emerson needs an average of at least 90 points in order to earn an "A" in his science
class. So far, his test scores are 92, 86, and 88. What is the lowest grade Emerson can
score on his final test in order to earn an "A"?
s < 94, Emmerson must earn below a 94 on his final test to earn an "A" in his class.
b) s > 94, Emmerson must earn above a 94 on his final test to earn an "A" in his class.
c) s < 94, Emmerson must earn at most a 94 on his final test to earn an "A" in his class.
d) s 294, Emmerson must earn at least a 94 on his final test to earn an "A" in his class.

Answers

Answer:

D) Emerson must earn at least a 94 on his final test to earn an “A” in his class

Step-by-step explanation:

We calculate this using mean in this format:

Test Scores / # of Test ≥ 90 (which is an A)

Substitute:

(92 + 86 + 88)+ x / 4 ≥ 90

Add:

266 + x / 4 ≥ 90

Get Rid of the Denominator:

(4) 266 + x / 4 ≥ 90 (4)

Multiply:

266 + x ≥ 360

Isolate x (Subtract 266 From Both Sides):

x ≥ 94

This means that x (His final test score) has to be greater than (above) or equal to 94. A term for greater than or equal to is “at least.” Hope this helps :)

x-8=-15 solve for x

Answers

Answer:

x=-7

Step-by-step explanation:

x-8=-15

add eight to both sides since it's negative

X=-7 You add the negative 8 from both sides which leaves you with X=-7

What are the coordinates on the coordinate plane?

Answers

Answer:

0.9 1.8 2.9

Step-by-step explanation:

Answer:

P is (2,1) M is (6,2) G is (5,5) L is (1,3) i think this is right anyway

Step-by-step explanation:

hope it helped!

p.s it would be cool it you would give me brainliest

d) Maribel ha trazado un eneagono (poligono de 9
lados) ¿Cuanto soman los angulos interiores de la fi-
gura que ha trazado Maribel?

Answers

Answer:

1260

Step-by-step explanation:

Solve for x if AC =33

Answers

Answer:

6.2

Step-by-step explanation:

can i hae brailiezt plzz

The answer of x if AC=33 is 6.20

The shadow of a 5-foot tall post is 10 feet long. At the same time, a tree casts a shadow that is 24 feet long. What is the height of the tree?
A.
14 feet
В.
12 feet
C.
18 feet
D. 2 feet

Answers

Answer:

C. 12 feet.

Step-by-step explanation:

The lamp post has a shadow that's twice as long as it'a actual height. The tree's shadow is 24 feet long, so it would be 24/2, which is 12 feet.

what is the value of n for the equation 1/3n=9

Answers

Answer: n = 27

Step-by-step explanation: n in (-oo:+oo)

(1/3)*n = 9 // - 9

(1/3)*n-9 = 0

1/3*n-9 = 0 // + 9

1/3*n = 9 // : 1/3

n = 9/1/3

n = 27

54=__x6
Can anyone tell me

Answers

Answer:

9

Step-by-step explanation:

Anybody wanna help please

Answers

Answer:

x=24

Step-by-step explanation:

x=180-156

x= 24

X= 24

Explanation: 180-156=24

Select the correct answer from the choices given
(13 + 4i) + n = 0
What is n?

0

1

–13 + 4i

–13 - 4i

Answers

The value of n that makes the equation [tex](13 + 4i) + n = 0[/tex] true is (d) -13 - 4i.

The equation is given as:

[tex](13 + 4i) + n = 0[/tex]

Remove brackets

[tex]13 + 4i + n = 0[/tex]

Subtract 13 from both sides

[tex]13 - 13 + 4i + n = 0 - 13[/tex]

Evaluate like terms

[tex]4i + n = - 13[/tex]

Subtract 4i from both sides

[tex]4i -4i + n = - 13 -4i[/tex]

Evaluate like terms

[tex]n = - 13 -4i[/tex]

The equation cannot be further simplified.

Hence, the value of n is (d) -13 - 4i

Read more about complex equations at:

https://brainly.com/question/7130449

Answer:

first one D (–13 - 4i)

second B (1)

on egde

Step-by-step explanation:

(11,-7) (-5,-5) midpoint

Answers

Answer:

(3,-6)

Step-by-step explanation:

The midpoint is the halfway distance between two points.

11+(-5)/2, -7+(-5)/2=

11-5/2, -7-5/2=

6/2, -12/2=

(3, -6)

Please help me I beg of you :(

Answers

Answer: 125 minutes to make tests for five classes, $2388 in two months, and 4800 women to 3,600 men

1 class: 25 minutes

5 classes: [tex]25[/tex] × [tex]5[/tex] [tex]= 125[/tex] minutes

[tex]\frac{3582}{3}=\frac{x}{2}[/tex]

[tex]\frac{7164}{3}=\frac{3x}{3}[/tex]

[tex]2,388 = x[/tex]

[tex]x= 2,388[/tex]

[tex]\frac{8}{6}=\frac{x}{3600}[/tex]

[tex]\frac{28,800}{6} =\frac{6x}{6}[/tex]

[tex]4,800=x[/tex]

[tex]x=4,800[/tex]

First one is 125 minutes

suppose the total area is 132 square units, b=5, d=4, and the area I is a square. Find the missing lengths and areas.

Answers

Answer:

/////////

Step-by-step explanation:

Find the measure of this angle, and explain your answer.

Answers

Answer:

50

Step-by-step explanation:

180 - 90+40 = 50

Answer:

Answer: 50 degrees

Step-by-step explanation:

important things to know:the square in the bottom right means 90°all angles in a triangle add up to 180°

using this knowledge, you can make the following equation:

90 + 40 + x = 180

130 + x = 180

now subtract 130 from both sides.

x = 180 - 130

x = 50°

8+6x-5x+2+2x=12 whats x ?

Answers

Answer:

The answer is 1

Step-by-step explanation:

combine like terms!

[tex]8+6x-5x+2+2x=12\\8+2+6x-5x+2x=12\\10+6x-5x+2x=12\\10+x+2x=12\\10+2x=12\\2x=2\\x=1[/tex]

hope this helps!!

Simplify the expression.
-10-6+)
12
12
12

Answers

it is 12 that is the answer

Helppp meeee plzz. Thank you

Answers

Answer:

midpoint is (−6,11 over 2)

!!!HELP !!!! MEEE ITS DUE SOON !!!!

Answers

Answer is B, if a linear pair is 180 degrees and 73+107 is 180 that is a linear pair.

solve -8(n+5)=-44-8n

Answers

Answer:

there are no solutions

Step-by-step explanation:

HERE ARE THE STEPS IN CASE U NEED EM :)

Step 1: Simplify both sides of the equation.

−8(n+5)=−44−8n

(−8)(n)+(−8)(5)=−44+−8n(Distribute)

−8n+−40=−44+−8n

−8n−40=−8n−44

Step 2: Add 8n to both sides.

−8n−40+8n=−8n−44+8n

−40=−44

Step 3: Add 40 to both sides.

−40+40=−44+40

0=−4

What is the answer? I need help! 1+1=?

Answers

Two is the answer because when you put up one finger and add another there will be two

Answer:

2

Step-by-step explanation:

Write the equation in standard form. x + y = 6y

Answers

[tex]x + y = 6y[/tex]

Subtract the sides of the equation minus 6y

[tex]x + y - 6y = 0[/tex]

[tex]x - 5y = 0[/tex]

[tex] - 5y + x = 0[/tex]

[tex]a = - 5[/tex]

[tex]b = 1[/tex]

[tex]c = 0[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

David watches Maria and Alma race electric trains around a track. Maria's train goes around the track in 10 seconds. Alma's train goes around the track in 12 seconds.

How long will it take for both trains to cross the finish line together the first time?

A
30 seconds

B
60 seconds

C
72 seconds

D
120 seconds

Answers

Answer:

60 seconds.

Step-by-step explanation:

We have been given that Maria train can go around the track in 10 seconds. Alma train can go around the track in 12 seconds.

To find the number of seconds after which both trains will cross the finish line together the first time we will find LCM of 10 and 12. LCM will give us the smallest positive integer that is divisible by both 10 and 12.  

Multiples of 10 are: 10, 20, 30, 40, 50, 60, 70,...    

Multiples of 12 are: 12, 24, 36, 48, 60, 72, 84,..  

We can see that least common multiple of 10 and 12 is 60, therefore, it will take 60 seconds for both trains to cross the finish line together the first time.

find the selling price $280 tax 5%

Answers

Answer:

The selling price is $294

Step-by-step explanation:

5/100 (280)

0.05 * 280 = 14

5% of 280 equals 14.

To find the selling price we have to add the tax to the price.

$14 + $280 = $294

The selling price is $294

what is the slope or the line going through (0,0) (6,8) A: -6/8 B: -3/4 C: 3/4 D: 8/6

Answers

Answer: D) 8/6

Start at (0,0). To get to the other point, you must move up 8 units and move to the right 6 units.

slope = rise/run = (change in y)/(change in x) = 8/6

Or you could use the slope formula

m = (y2-y1)/(x2-x1)

m = (8-0)/(6-0)

m = 8/6

Normally I would reduce, but your teacher has decided not to.

8/6 reduces to 4/3 when you divide both parts by 2.

PLS HELP .............

Answers

I would say 5 out of 21 because there are 5 vowels. Then if you subtract the 5 from 26 it’s 21 so maybe 5:21 but I’m not sure..

Select the equation that is the inverse of the given function.
f (x) =( x minus 3 Over 5)

Answers

Answer:

x+3/5

Step-by-step explanation:

f(x)=x-3/5

y=f(x) let

y=x-3/5

put x at y and y at x

then,

x=y-3/5

y=x+3/5

f(x) inverse is x+3/5

Plz help me fast !!!!

Answers

$4.24 good luck on your other questions

answer:

$4.24

explanation:

hope this helped <3

HELLLLPPPPP!!!! DUE TODAY

Answers

The answer should be B
Other Questions
Having trouble on math heres a picture to help what is your stance on segregation? Are you pro-segrgation or against segregation?Why? Which of the following correctly lists the Earths structural (physical) layers from outer most to inner most? (listed left (outer most) to right(inner most))A. Asthenosphere, Lithosphere, Mesosphere, Outer core, Inner coreB. Inner core, Outer core, Mesosphere, Asthenosphere, LithosphereC.Lithosphere, Asthenosphere, Mesosphere, Outer core, Inner coreD. Lithosphere, Mesosphere, Asthenosphere, Outer core, Inner core Solve for j.j 36 = 0Write your answers as integers or as proper or improper fractions in simplest form.j = or j = what if boy A and boy B pull the heavy cabinet at the same time in opposite directions with 10 N and 5 N of force respectively 1. what will be the net force on the cabinet? _____________2. will the cabinet move? __________3. to what direction will it move? _______ Bernie is an aspiring video game developer. Learning which of the following software would benefit him the most? A. Computer-aided design softwareB. Sampling softwareC. 3-D animation softwareD. System software please help with this i dont know how to do it yet how do i chose the brianliest answer HELP What is the slope of the line that contains points (-6, -6) and (-3, 1)? 4. How many ones is in the number 500? *(10 Points)500 ones50 ones5 ones 0.315 ___ 0.615 what sign do i put Sally started with $100 and is saving for a new Uggs. The first month she had $124, the next month $148, and by the third month she had $172 saved. Write an explicit rule to represent how much she saves each month.An = 100n + 24 An = 24n + 124An = 124n + 24An = 24n + 100 Plate Tectonics Lab Report The outcome variable (dependent variable): the outcome/dependant variable is Test variable (independent variable): the test/independent variable isplease only answer if you have done the paper before A regular hexagon inscribed in a circle creates 6 equiangular triangles. If the radius of the circle is 10 inches, how far are points at A and B from the y-axis? They are both 5 inches from the y-axis. They are both 5 StartRoot 3 EndRoot inches from the y-axis. A is 5 inches and B is 5 StartRoot 3 EndRoot inches from the y-axis. A is 5 StartRoot 3 EndRoot inches and B is 5 inches from the y-axis. The following selected transactions were completed by Coat Delivery Service durning July: 1. Received cash in exchange for common stock, $35,00. 2. Purchased supplies for cash, $1,100. 3. Paid rent for October, $4,500. 4. Paid advertising expense. $900. 5. Received cash for providing delivery services, $33,000. 6. Billed customers for delivery services on account, $58,000. 7. Paid creditors on account, $2,900. 8. Received cash for customers on account, $27,500. 9. Determined that the cost of supplies on hand was $300 and $8,600 of supplies had been used during the month. 10. Paid cash dividends, $2500. Indicate the effect of each transaction on the accounting equation by listing the numbers identifying the transactions, (1) through (10), in column, and inserting at the right of each number the appropriate letter form the following list: a. Increase in the asset, decrease in another asset. b. Increase in and asset, increase in a liability. c. Increase in an asset, increase in stockholders' equity. d. Decrease in an asset, decrease in a liability. e. Decrease in an asset, decrease in stockholders' equity. The leaf layer containing most of the chloroplasts is the:O spongy layerOwaxy layerO palisade layercortex layerI NEED HELLPPPPP PLEASEE I WILL GIVE BRAINLYYY In what ways did anti immigrant sentiment manifest itself? What is the periodic table? What is the x-intercept of the function graphed below? Why do you think the Cherokee sided with the British in the Revolutionary War?