Use the given number game to answer the following question.

eddy2017

eddy2017

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Hi, how to approach this type of exercise. I need your guidance
I am to pick a number then follow the instructions. if you give me the first hint you will get me off to at least astar.
thanks
Happy New Year's Eve for everyone, tutors and forum members alike

Use the given number game to answer the following question.

Pick a number.
Add 5 to the number.
Next, multiply 4.
Subtract 12.
Divide by 4.
Click to expand...
If x represents the starting number, and y represents the final number, which equation is equivalent to the number game?

Choose an answer
  1. y = 2 y equals 2
  2. y = 2x y equals 2 x
  3. y = x − 2 y equals x minus 2
  4. y = x + 2 y equals x plus 2

what is the math skill tested here?. okay, Algebraic thinking.
let me try to start
x =number I pick
x +5 * 4 -12÷4

f x represents the starting number, and y represents the final number, which equation is equivalent to the number game?

I am stuck here.

well, the only think i can think of is that the start of my equation is x + 5
and that is the same as how equation 4 begins, y=x+2 .....
 
Let's start with this:

Pick a number.
Add 5 to the number.
Next, multiply 4.

x is the number, y is the result.
y = ?

Make sure to check your answer by picking a value for x and calculating y using the steps and your expression.
 
eddy2017 said:
Hi, how to approach this type of exercise. I need your guidance
I am to pick a number then follow the instructions. if you give me the first hint you will get me off to at least astar.
thanks
Happy New Year's Eve for everyone, tutors and forum members alike

Use the given number game to answer the following question.


If x represents the starting number, and y represents the final number, which equation is equivalent to the number game?

Choose an answer
  1. y = 2 y equals 2
  2. y = 2x y equals 2 x
  3. y = x − 2 y equals x minus 2
  4. y = x + 2 y equals x plus 2

what is the math skill tested here?. okay, Algebraic thinking.
let me try to start
x =number I pick
x +5 * 4 -12÷4

f x represents the starting number, and y represents the final number, which equation is equivalent to the number game?

I am stuck here.

well, the only think i can think of is that the start of my equation is x + 5
and that is the same as how equation 4 begins, y=x+2 .....
Click to expand...
You definitely need to work on your parenthesis.
 
I will try trial and error and see
I will pick a number 3
Add 5 to the number= 8
"Next, multiply 4=32
"Subtract 12= 20
"Divide by 4=5

correct answer is 5

now, I will try the given formulas and and see that the last one checks out

y=2 here the answer is always 2. wrong

y=2x=2⋅3=6 here the answer is 6. wrong

y=x−2=3−2=1 here the answer is 1. wrong

y=x+2=3+2=5 here the answer is 5. yes, correct.
 
lev888 said:
Let's start with this:

Pick a number.
Add 5 to the number.
Next, multiply 4.

x is the number, y is the result.
y = ?

Make sure to check your answer by picking a value for x and calculating y using the steps and your expression.
Click to expand...
Yes,
(x +5 * 4 -12)/4
it is the entire equation divided by 4 so I need to put in parentheses.
 
[math]4x+20−12/4[/math][math]4x+8/4[/math][math]y=4x+8/4[/math][math]y=x+2[/math][math]y−2=x+2−2[/math][math]y−2=x+2−2[/math][math]y=x+2[/math]
 
Following the instructions given and solving the equation is not that bad either. the trial and error method is faster, I think. Playing that number game is good if I am taking a timed test.
 
eddy2017 said:
[math]4x+20−12/4[/math][math]4x+8/4[/math][math]y=4x+8/4[/math][math]y=x+2[/math][math]y−2=x+2−2[/math][math]y−2=x+2−2[/math][math]y=x+2[/math]
Click to expand...
I have no idea what you are doing here.
 
eddy2017 said:
Following the instructions given and solving the equation is not that bad either. the trial and error method is faster, I think. Playing that number game is good if I am taking a timed test.
Click to expand...
Absolutely not. You could not be more wrong. If you want to learn math forget about trial and error. Answering multiple choice questions quickly is NOT math.
 
what I showed in post # 9 s following the directions I was given in the exercise and calculated for y so I could compare with the choices given
If that is wrong, then how is it done?
 
eddy2017 said:
what I showed in post # 9 s following the directions I was given in the exercise and calculated for y so I could compare with the choices given
If that is wrong, then how is it done?
Click to expand...
Answer my question in post 2.
 
lev888 said:
Let's start with this:

Pick a number.
Add 5 to the number.
Next, multiply 4.

x is the number, y is the result.
y = ?

Make sure to check your answer by picking a value for x and calculating y using the steps and your expression.
Click to expand...
let's start with this:

I'll pick 3
5+3 =8 * 4=32
done, what else?
 
eddy2017 said:
let's start with this:

I'll pick 3
5+3 =8 * 4=32
done, what else?
Click to expand...
Re-read my post.
Where is y=...?
Then you need to pick a value for x and do 2 calculations to see if they produce the same result.
 
Y=5+3=8×4=32
lev888 said:
Re-read my post.
Where is y=...?
Then you need to pick a value for x and do 2 calculations to see if they produce the same result.
Click to expand...

lev888 said:
Let's start with this:

Pick a number.
Add 5 to the number.
Next, multiply 4.

x is the number, y is the result.
y = ?

Make sure to check your answer by picking a value for x and calculating y using the steps and your expression.
Click to expand...
okay, let me re-try
pick a number = 5
x=5
Add 5 to the number.
Next, multiply 4.
Subtract 12.
Divide by 4.
[math]y=(x+5) 4-12/4[/math]
[math]y=4x+20-12/4[/math][math]y=4x +8/4[/math]
[math]y=x+2[/math]that is the value of y, y=x+2
I replace x for 5 the number i picked and it checks out so the equation that checks out is #4 y equals x plus 2
 
LEV SAID ''x is the number, y is the result.
y = ?''
Make sure to check your answer by picking a value for x and calculating y using the steps and your expression.
I forgot to equal my operation to y. That is what was confusing me.
 
eddy2017 said:
Y=5+3=8×4=32

[math]y=(x+5) 4-12/4[/math][math]y=4x+20-12/4[/math][math]y=4x +8/4[/math]
Click to expand...
Since 5+3 equals 8, it could not be that 5+3 = 8x4. After all, 8x4=32. Your equal signs MUST be valid.
5+3 = 8, we all agree on this. The problem is once you multiply just one side by 4, you lose the equality.
 
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