Mathematics Middle School

What are equivalent expressions?

Answers

Answer 1

Answer:

Consider the expressions 32+1 and 5×2 . Both are equal to 10 . That is, they are equivalent expressions.

Now let us consider some expressions that include variables, say 5x+2 .

The expression can be rewritten as 5x+2=x+x+x+x+x+1+1 .

We can re-group the right side of the equation to 2x+3x+1+1 or x+4x+2 or some other combination. All these expressions have the same value, whenever the same value is substituted for x . That is, they are equivalent expressions.

Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.

Example 1:

Are the two expressions 2y+5y−5+8 and 7y+3 equivalent? Explain your answer.

Combine the like terms of the first expression.

Here, the terms 2y and 5y are like terms. So, add their coefficients. 2y+5y=7y .

Also, −5 and 8 can be combined to get 3 .

Thus, 2y+5y−5+8=7y+3 .

Therefore, the two expressions are equivalent.

Example 2:

Are the two expressions 6(2a+b) and 12a+6b equivalent? Explain your answer.

Use the Distributive Law to expand the first expression.

6(2a+b)=6×2a+6×b                     =12a+6b

Therefore, the two expressions are equivalent.

Answer 2

Answer:

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).

Hope this helps!

Related Questions

need help asap
will give brainly

Answers

Answer:

2

Step-by-step explanation:

The larger square is 8x8 the smaller square is 4x4

they smaller square increased by 2

There'ya go

i believe the answer is 2

Plzz help, Find the volume of the figure

Answers

Answer:

The answer is 896,000

Step-by-step explanation:

Just multiply all the numbers

I think it’s 4880 (10*8*14*4)+(10*10*4)


I Put 4 and not 8 bc it’s split in the middle of a figure

Help!

among us
Fwkqnf

Answers

Ok. I’ll go play lol.

susssssyhahahha

So susy  means you and susssssy means me haahahaha >:) u ded pinnk

PLZZZ HELP
Tell why these expressions are not polynomials

Answers

Answer:

Step-by-step explanation:

In polynomials, variables will not have negative sign.

So,

[tex]26) 3n^{-2} + 2n + 23 \\\\28) 5x^{4}+\frac{1}{3x^{3}}\\\\29) \frac{5}{x^{n}}[/tex]are not polynomials

Simplify 6(x + 2) + 7.

6x + 9
6x + 15
6x + 19

Answers

Answer:

6x +19

Step-by-step explanation:

6(x +2) +7

distribute the 6 (multiply 6*x and 6*2)

6x + 12

add the 7 to the 12

=6x + 19

Answer:

6x+19

Step-by-step explanation:

6 x 2 = 12 + 7= 19 so

6x+19

Solve the proportion
5/12=y/15

Answers

Answer: sry

Step-by-step explanation:

Answer:

y=6.25

Step-by-step explanation:

Hope this helps!

PLEASE HELP there are 3 questions i need you to answer! (REMEBER TO LOOK AT THE OTHER PHOTOS! THERE ARE 3)

TYSM!!

Answers

Answer:

1) Its not visible

2)False

3) option 4 (ST)

4) False

Step-by-step explanation:

Factz

Answer:

The first one is false and the third one is yes.

I don't know the second one.

Step-by-step explanation:

if a =6 and b=8 and c=10 how do you solve using A2+b2=c2
A(square)+b(square)=c(square)

Answers

the answer I think is 12+16=20

Answer:

[tex]100 = 100[/tex]

Step-by-step explanation:

if im understanding this correctly the new equation would be

[tex]6^{2} + 8^{2} = 10^{2}[/tex]

then it would be

[tex]36 + 64 = 10^{2}[/tex]

[tex]100 = 10^{2}[/tex]

then solve [tex]10^{2}[/tex]

the final equation being

[tex]100 = 100[/tex]

Hope this helps!

-3x-3y=12
-9x+3y=-24


Please help w/ work ( elimination)

Answers

Step-by-step explanation:

6x = -12

x = -2

guvh g hg h ugh ugh vug

Answer:

Step-by-step explanation:

6x = -12

x = -2

come on plz tell me someone is awake

Answers

oh now its letting me answer.. were you able to get the answer

what is
7/15 divided by 3/4

Answers

Answer:

The answer the calculator gave me is 0.0388888888889

Step-by-step explanation:

Hope that helps

Find the reciprocal of the divisor
Reciprocal of 3/4 : 4/3
Now multiply it with the dividend
So, 7/15 divided by 3/4 = 7/15 multiplied by 4/3 = 7*5/ 15* 3
So your answer would be 28/45

PLS HELPPP Jamal has the following choices for his pizza: white sauce or red sauce; white cheese or yellow cheese; and mushrooms, pepperoni or sausage. What is the probability that he creates a pizza that has red sauce and mushrooms?

Answers

Answer:

Well, since there are four options, and Jamal is likely to pick any of them, 25% is the answer. 25 is also 1/4.

(Btw, I am the first to answer, and if someone says the same thing as me, I did not copy them..)

Hope this helps!

Step-by-step explanation:z

There are 7 total options to choose from. Red sauce is one option of 7. Mushrooms is 1 option of sever. Red sauce and mushrooms is 2 options out of 6. It is 2:7!

(Will give Brainliest) These are composite figures. find the area of the figure and round your answer to one decimal place if necessary.

Answers

Answer:

400

Step-by-step explanation:

this is most likely wrong cuz im dum

PLEASE HELP ASAP
Construct a function with a rate of change of 2/3 and an initial value of 4.
(Put your equation in slope-intercept form or
y = mx + b)

Answers

Y=2/3x+4
I’m pretty sure this is right but tell me if not

Help me plzz ???????????????

Answers

The picture is a bit too blurry I can’t really see it

Four cubes are piled in a single stack to make a prism. Each cub has an edge length of 1/2 inch. Sketch the prism, and find its volume in cubic inches.

Answers

you already got your answer, but i hope you’re having a great day!! :)

If you thought the last one was easy do this >:)

Answers

I have no idea what the answer is to this question

Answer

you are a evil gacha

Step-by-step explanation:

jared has 2 pennies and 3 dimes in his pocket. He needs $0.20 to complete a purchase. He pulls out 2 coins out of his pocket, one at a time without replacement. What is the probability the coins add up to $0.20?

Answers

Answer:

Step-by-step explanation:

The two pennies are no help so really the only way he can pull out 20 cents is if he gets two dimes so that means there is a likely chance of that happening since there is more dimes then Pennies so I'd say 3/5 chance of that happening.

I really hope this helps

Craig is scheduled to work 40 hours this week. So far he has completed 75% of his hours. How many hours has Craig worked this week so far?
A.3
B.10
C.30
D.35

Answers

Answer:

30 hours

Step-by-step explanation:

Craig's total work is 40 hours.

75% of the work would be 3/4 times 40 hours, or 30 hours.

Let me know if this helps!

Answer:

C

Step-by-step explanation:

QUESTION IS IN PICTURE PLEASE HELP ASAP

Answers

Answer:

The answer is C because as the time on the treadmill increases, the calories burned increases.

C is the right answer

answer pls i need answer quick ill give brainliest

Answers

Answer:

[tex]\sqrt42.25[/tex] is your answer

Step-by-step explanation:

it’s the second one !

What is the area of the figure?

Answers

Answer:

160

Step-by-step explanation:

2x8 is 160 i think is the answer

385 Divided by eight

Answers

48.125 is the answer

Answer:

48.125

Step-by-step explanation:

When writing an explicit formula for an arithmetic sequence, the common difference d is multiplied by (n-1). The formula is: A(n) = A(1) + (n - 1)d. The formula can be simplified by using which property?
Commutative Property
Associative Property
Property of Sequences
Distributive Property

Answers

Associative property
associative property

courtney has 155 coins in her purse. all of the coins are quarters and dimes, worth a total of $30.20. how many quarters does she not have?

Answers

Answer: she would have 98 quarters

Evan budgets $3,000 a month to spend on living expenses for his family. The table expresses the portion spent on each cost as a percent, fraction, and decimal.

Answers

1. 1
2. 100%
3. 1.00

I belive these are the answers to the chart

2.3 times what gives you 23?

wrong answers will be reported :)

Answers

Answer:

10

Step-by-step explanation:

2.3 x 10 = 23

2.3x10 gives you 23

Write a real-world problem that
involves multiplying a fraction and a whole number. Solve the
problern and use estimation to check for reasonableness.(10p)

Answers

Jacob has 368 pennies, how many Pennies dollies he have as a fraction ams the answer is 3 68/100 dollars and the estimation is he has about 400 pennies which is 4 0/100

Which statement compares the two numbers correctly?

six times one tenth plus three times one hundredth plus two times one thousandth ________ six hundred twenty-nine thousandths

A) six times one tenth plus three times one hundredth plus two times one thousandth six times one tenth plus three times one hundredth plus two times one thousandth

Answers

Answer:

D) six hundred twenty-nine thousandths > six times one tenth plus three times one hundredth plus two times one thousandth

629000>8403     TRUE

Step-by-step explanation:

A) six times one tenth plus three times one hundredth plus two times one thousandth < six hundred twenty-nine thousandths

8,403.00

<629000 FALSE

B) six times one tenth plus three times one hundredth plus two times one thousandth = six hundred twenty-nine thousandths

8403= 629000   FALSE

C) six hundred twenty-nine thousandths < six times one tenth plus three times one hundredth plus two times one thousandth

629000<8403 FALSE

D) six hundred twenty-nine thousandths > six times one tenth plus three times one hundredth plus two times one thousandth

629000>8403     TRUE

Hope This Helps!!!

help pls all shaded parts need answers

Answers

Answer:

You solve inequality by dividing and multiply

Step-by-step explanation:

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