Using Properties to Simplify Expressions
Instruction Active
Matching Equivalent Expressions
Match each expression on the left with an equivalent expression on the right
PLS HELP

Using Properties To Simplify ExpressionsInstruction ActiveMatching Equivalent ExpressionsMatch Each Expression

Answers

Answer 1

Answer:

1) 2x-3 = x -3 + x

2) 2x - 6 = -6 + 2x

3) [tex]\frac{3}{5}-\frac{13}{5}=-6.9+4.9[/tex]

4) 3x+0 = 3x

5)  [tex]\frac{5}{3}-x+\frac{1}{3}=-\frac{3}{2}x+2+\frac{1}{2}x[/tex]

Step-by-step explanation:

We need to match each expression on the left with an equivalent expression on the right

The expressions are equivalent if the have the same results.

1) 2x - 3

Looking at the options the best match is:

x -3 + x

When solve we get:

2x-3

So, 2x-3 = x -3 + x

2) 2x - 6

Looking at the options the best match is:

-6 + 2x

Because according to commutative property: a+b = b+a

So, 2x - 6 = -6 + 2x

3) [tex]\frac{3}{5}-\frac{13}{5}[/tex]

First simplifying the given expression:

[tex]\frac{3}{5}-\frac{13}{5}\\=\frac{3-13}{5}\\=\frac{-10}{5}\\=-2[/tex]

Looking at the options, -6.9+4.9 = -2

So, [tex]\frac{3}{5}-\frac{13}{5}=-6.9+4.9[/tex]

4) 3x + 0

Looking at the options the best match is:

3x

Because, adding 0 in 3x will result in 3x

So, 3x+0 = 3x

5) [tex]\frac{5}{3}-x+\frac{1}{3}[/tex]

First simplifying:

[tex]\frac{5}{3}-x+\frac{1}{3}\\=\frac{5-3x+1}{3}\\=\frac{6-3x}{3}\\= \frac{3(2-x)}{3}\\=2-x[/tex]

Now, solving the option: [tex]-\frac{3}{2}x+2+\frac{1}{2}x[/tex]

[tex]=\frac{-3x+4+1x}{2}\\=\frac{-2x+4}{2}\\=\frac{2(-x+2)}{2}\\=-x+2\\or\\=2-x[/tex]

So, [tex]\frac{5}{3}-x+\frac{1}{3}=-\frac{3}{2}x+2+\frac{1}{2}x[/tex]


Related Questions

Simply: -51/4 - (-71/2)

Answers

Answer:

Exact form:

193/4

Decimal form:

48.25

Mixed number form:

48 1/4

Step-by-step explanation:

Answer:

48 1/4

Step-by-step explanation:

i hope this is correct

12 divided by the sum of h x and 3

Answers

Answer:

12

------

hx+3

Step-by-step explanation:

I know math

if there where 10 apples and my frend took 6 how many do i have

Answers

Answer:

10-6=4

if your friend took 6 apples out of the 10 you have you would have 4 left.

Step-by-step explanation:

A liquid is being poured at a rate of 15 gallons per minute. How fast is it being poured in liters per hour? Use the fact that one gallon is approximately 3.785 liters, and do not round your answer.(1 point)
liter(s) per hour

Answers

Answer:

Summarize the end of the story and explain the resolution— when the conflict is solved :

At the end of the story...

Step-by-step explanation:

take 15 and multiply it by 60 to get the hourly rate, then, translate it into liters, so the equation would be (15•60=x) then x/3.785, giving you the answer of 237.78071334214

Witch fraction is equivalent to 2/3

Answers

8/12 i think hope this helps

Answer: 4/6, 6/9, 8/12, 10/15, 12/18, 14/21

Step-by-step explanation:

These r just a few hope this helps ;)

If you bought a stock last year for a price of $63, and it has risen 17% since then, how
much is the stock worth now, to the nearest cent?

Answers

Answer:73.72

Step-by-step explanation:

Simplify (65)2
O A. 670
O B. 67
C. 65
D. 63

Answers

130 If you multiply that’s what it would give you so I’m not sure what those answers are

Lamar rented a truck for one day there was a base fee of 18.95 and there was an additional charge of 93 cents for each Miles driven. Lamar had to pay 154.73 when he returned the truck . For how many miles did he drive the truck

Answers

Answer:

146 miles

Step-by-step explanation:

Hope this helps!

Answer:

146 miles

Step-by-step explanation:

He payed 135.78 total for gas. Take that number, and divide it by .93 to find out how many miles he drove.

One gram of fat has 9 calories. A one-ounce slice of
American cheese has 9 grams of fat. The slice has a total
of 110 calories. What percent of the calories in the cheese
is from fat? Round to the nearest whole percent.

Answers

9 grams of fat is 81 calories, and 81/110 is .736, so it would be 74%

Find the value of X

Answers

Answer:

x + 80 =180 (Being sum of 180 degree)

or,x=180 -80

= 100

2 box plots. The number line goes from 55 to 105. For pitcher 1, the whiskers range from 55 to 105, and the box ranges from 85 to 95. A line divides the box at 94. For pitcher 2, the whiskers range from 71 to 106, and the box ranges from 78 to 102. A line divides the box at 90. The two box plots show the data of the pitches thrown by two pitchers throughout the season. Which statement is correct? Check all that apply. Pitcher 1 has a symmetric data set. Pitcher 1 does not have a symmetric data set. Pitcher 2 has a symmetric data set. Pitcher 2 does not have a symmetric data set. Pitcher 2 has the greater variation.

Answers

Answer:

its c because i got it right

Pitcher 1, because he has the lesser amount of variability in his pitches.

Answer:

B and C Are your answers :)

Step-by-step explanation: I did it on Eng.

Please help!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

its 7

Step-by-step explanation:

Please help....... its easy

Answers

Answer:

It would start 2 squares across the line.

Step-by-step explanation:

hope this helps

have a great day!

please mark brainliest.

while I cannot flip it for you, you basically just have to see how many spaces each point is from the line, and then put the same letter on the other side and connect the shapes. Hope this helped!

Plss answer
i will give brainliest

Answers

Answer:

sorry im doing a challenge but i will have someone answer it    

Step-by-step explanation:

A new year begins at 12:00 AM on January 1. What is the date
and time 12,345 minutes after the start of the new year?
Helppp

Answers

Answer:

Step-by-step explanation:

12,345/60=205.75 hours

l

safe to say 205 hours and 45 minutes

12 AM January 2nd            24 hours

12 AM Jan         3rd             48 hours

......

12 Am Jan         9th             192 h

it is Jan 9th, 1:45 PM    

The date and time 12,345 minutes after the start of the new year will be 9 January.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

A new year begins at 12:00 AM on January 1.

The number of days in time 12,345 minutes will be

⇒ 12345 / (60 x 24)

⇒ 8.5729 days

Then the date and time 12,345 minutes after the start of the new year will be 9 January.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

please answer asap no trolls

Answers

I believe it’s F,G,E

Help me i really need help

Answers

Hope this helps☺️!!!!!

3u - 10 =23
Simplify your answer as much as possible.
Ü
Х

Answers

Answer:

u=11

Step-by-step explanation:

3u - 10 = 20

3u-10+10=20+10 |+10

3u=33 |÷3

3/3*u=33/3

1*u=11

u=11

Please help with this as well

Answers

Answer:

Option D is the correct answer

Step-by-step explanation:

w = 35°based on the definition of vertical angles.

Which set of steps will translate f(x) = 6X to g(x) = 6x – 5 – 7?
Shift f(x) = 6* five units to the left and seven units up.
O Shift f(x) = 6' five units to the right and seven units down.
Shift f(x) = 6X seven units to the right and five units up.
Shift f(x) = 6X seven units to the left and five units down.

Answers

Answer:

5 left 7 down

Step-by-step explanation:

The correct set of steps to translate f(x) = 6ˣ to g(x) = 6ˣ⁻⁵ – 7 is to shift f(x) = 6ˣ  five units to the right and seven units down.

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The functions are given in the question, as follows:

f(x) = 6ˣ and g(x) = 6ˣ⁻⁵ – 7

Consider the graph of f(x) = 6ˣ.

Shifting the graph seven units to the right means that each x-coordinate of a point on the graph will be decreased by five. This will result in a horizontal shift to the right of the graph.

Shifting the graph seven units down means that each y-coordinate of a point on the graph will be decreased by seven. This will result in a vertical shift downward of the graph.

Therefore, the new equation of the translated graph will be g(x) = 6ˣ⁻⁵ - 7.

To learn more about the transformations click here :

brainly.com/question/28029674

#SPJ6

Mr. Moorehead has less than $25 to spend on books
and music CDs. Books are on sale for $5 each, and
music CDs are on sale for $10 each. Mr. Moorehead
will purchase exactly 1 music CD. The inequality
below can be used to find b, the greatest number of
books that Mr. Moorehead can purchase.
10 + 5b < 25
What is the GREATEST number of books that Mr.
Moorehead can purchase?

Answers

Answer: 3 books

Explaining: $25 - $10 is only $15 left. $5x3 is $15. So he can buy 3 books.

*Max is writing a novel. He has written 240 pages and
would like to have a complete story that is 360 pages long.
How many pages will he have to write per day in
order to have a finished rough draft in...
One week?
Round to the
nearest hundredth.
Show work here or insert a picture of your work
Two weeks?
Round to the
nearest hundredth.
Show work here or insert a picture of your work
One month
(30 days)?

Answers

Answer:

Step-by-step explanation:

360-240=120

120/7=17.14

120/14=8.57

120/30=4

Two-thirds of a number is equal to negative one-fifth. What is the number?

-7 1/2

-3/10

-2/15

-3 1/2​

Answers

Answer:

maybe -3/10? (i did 2/3n = -1/5)

:)

The ratio of boys to girls in the 9th grade is 5 to 6. There are 312 girls. How many boys are there?
HELPPPPPPP please

Answers

Answer:

260 Boys

Step-by-step explanation:

312/6=52

52*5=260

I hope this is correct and it helps :) have a great day

Answer:

260 boys

Step-by-step explanation:

5:6

312 divided by 6=52

5x52=260

260 boys to 312 girls

s
is inversely proportional to
t
.
When
s
=
0.3
,
t
=
8

Work out
s
when
t
=
0.4

Answers

Answer:

s inversely proportional 1/t

s=0.3, t=8

s=k/t

0.3=k/8

k=0.3×8

k=2.4

find s when t=0.4

s=2.4/0.4

s=6.0 or 6

whats the sentence as an equation? b minus 158 is the same as 58

Answers

Answer:

b - 158 = 58

Step-by-step explanation:

b - 158 = 58

Hope it helps you in your learning process.

Answer:

b-158=58                

Step-by-step explanation:

The Bailey's spent $18.00 for 4 two-liter sodas for the birthday party this weekend. What is the number of soda bottles that could be bought with $45.00?

Answers

Answer:

7

Step-by-step explanation:

Exploring Unit Rates on Graphs -
The graph shows the rate at which paint is used to paint a wall.
Enter values to complete each statement below based on the graph.

Answers

Answer:

1 gallon of paint will paint 400 ft² of the wall

Unit rate = 400 ft² per gallon

Step-by-step explanation:

From the graph, when 1 gallon of paint was used, (x = 1), an area of 400 ft² of the wall was painted (y = 400).

Unit rate = y/x. That is, the amount of square feet of wall that would be painted using 1 gallon of paint.

Unit rate = 400 ft²/1 gallon = 400 ft²/gallon.

the integers -10 and 10 are=​

Answers

Answer:

Opposites of each other?

Step-by-step explanation:

I am not sure, the only thing that is not making them equal to each other is that they have opposite signs.


[tex]2 {x}^{2} + 6x - 3 = 0 \: find \: x[/tex]​

Answers

Answer:

Step-by-step explanation:

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