Question

FAN AND MEDAL

Juan is learning about like terms in his math class. He must check all the combinations below that are like terms. Which ones should he check?

1)3x and x
2)1/4 and 0.5
3)–m and 8m
4)–xy2 and 2xy2
5)y and y2
6)4xy and –5x2y
7)m and n
8)–7 and 6

Answer 1

more than one btw

Answer 2

@AlexandervonHumboldt2

Answer 3

@DanJS

Answer 4

please help :/

Answer 5

Look at the examples in the attached chart.

Answer 6

What is number 2 supposed to be?

2)mr001-1.jpg and 0.5

Answer 7

sorry It's 1/4 and 0.5

Answer 8

I will help you get started.

1) 3x and x

These terms both have the same last name of x.

They are like terms. You can add them and get 4x.

Answer 9

1/4 and .5 are really 1/4 and 1/2

They can be written as like terms: 1/4 and 2/4

Answer 10

so number 1 and 2 are like terms I don't think that number 3 is though

Answer 11

or 4

Answer 12

3) – m and 8m

Why do you think that these are not like terms?

Answer 13

I thought that the, - negative sign would make a difference but now that I look at it them seem to be like terms I think

Answer 14

Look at the chart I posted.

– m and 8m is -1*m and 8*m.
The -1 and 8 are not what make these like terms.

The variable m is. The two terms have the same last name of m and the same power of m.

They are like terms.

Try the next problem.

Answer 15

the next one has a xy2 on each side so I think they are like terms

Answer 16

4) –1*xy^2 and 2*xy^2

Do not focus on the -1 and the 2. They just tell you how many you have.

Do the two terms have the same last name.

The last name here is x* y^2 --> same variable in the same power.

Answer 17

Yes, you are correct. They are like terms.

Answer 18

what about this:

5) y and y^2

Answer 19

the next one I think that they are not like terms because they have y and y2 so that might change them from being like terms because the 2 but i'm not quiet sure

Answer 20

The 2 is an exponent. If one term has variable y to the second power, then the other one has to have the variable y to the second power if the terms are like terms.

So, these are not like terms.

Answer 21

6) 4*xy and –5*x^2y

Answer 22

Do not look at the 4 and the -5.

Look to see if the variables are identical and of the same power.

Answer 23

I think that these are not like terms because there's a xy and then a x2y so they aren't the same

Answer 24

Correct.

Answer 25

I think that the next one are not like terms either

Answer 26

7 m and n

Answer 27

Corrrect.

Answer 28

this one I think that they are like terms

Answer 29

the last one

Answer 30

8) –7 and 6

Answer 31

like terms?

Answer 32

Correct

Answer 33

thank you so much

Answer 34

You are welcome. You did well once you got into the swing of it.

Answer 35

yeah lol