Question

In a football tournament, the Bees scored 9 less than three times as many points as the Hornets. The Wasps scored 28 more points than the Hornets. Together the three teams scored 184 points. Let x represent the number of points scored by the Hornets.
Complete the steps to solve the equation (3x – 9) + x + (x + 28) = 184. Then answer the question.
1. Combine like terms.
2. Use the subtraction property of equality.
3. Use the division property of equality.
4. Use the variable to answer the question.
How many points did the Bees score? points

Answer 1

Do you know how to combine like terms?

Answer 2

yea

Answer 3

but not really good at it

Answer 4

So we can combine the x terms with each other and the non variable terms with each other. (3x – 9) + x + (x + 28) = 184
So we have 3x+x+x-9+28 = 184

Answer 5

Can you combine these?
3x+x+x-9+28 = 184?

Answer 6

yea

Answer 7

So now we have 5x+19=184

Answer 8

Do you know what the subtraction property of equality is?

Answer 9

a liitle bit

Answer 10

I'm not that good in math

Answer 11

So its states that if we subtract from one side of an equation, we also must subtract the same value from the other side of the equation to keep the equation the same.

Answer 12

The goal here is to isolate x
5x+19=184
We subtract 19 from both sides
5x+19-19 = 184-19
5x = 165

Answer 13

Now do you know what the division property of equality is?

Answer 14

yea

Answer 15

isn't it where you divide on both sides

Answer 16

Yes it is

Answer 17

So we want to divide by 5 on both sides
So 5x/5= 165/5
x = 31

Answer 18

Now can you answer the last part by yourself?

Answer 19

thank you

Answer 20

You still have the last part to answer. xD

Answer 21

(3x – 9) + x + (x + 28) = 184. Is our equation
We have to remember that this is the total score of the Bees, hornets and wasps respectively.
So 3x-9 is the points that the bees scored.
Plug in the value you got for x in there and find the points that they scored

Answer 22

the answer is 90

Answer 23

Not quite.
So we got 31 for x
Substituting, we get
3(31)-9
93-9
84

Answer 24

Do you see how I got that?

Answer 25

I put that and it said it is 90

Answer 26

yea I put 84 first and it said it was wrong

Answer 27

Okay, i am not very smart. 165/5 = 33. My bad...

Answer 28

I don't know how I messed that up. Apologies, so we plug in 33 instead of 31

Answer 29

its all good

Answer 30

Now can you solve it? Plug in 33 for x in 3x-9

Answer 31

So yeah, the answer was 90. You were right

Answer 32

Keep it up :)

Answer 33

thanks

Answer 34

No problem