Few questions explain too, very confused

1. twice the difference between a number and ten
2. if 5 is subtracted from twice a number the result is 11
3. if 5 is added to the quotient of a number and 4 , the result is 10
4. associative property use: 4x5n

1).
Call the number 'N'.
The difference between the number and ten is  (N-10).
Twice the difference between the number and ten is  2(N-10).
That's all the question asks for.  There's no way to find what number 'N' is.

2).
Call the mystery number 'Q'.
Twice the number is  2Q.
If  5  is subtracted from twice the number, you have  (2Q - 5).
But it tells us that the result would be  11 .
So write  (2Q - 5) = 7    and solve that simple equation to find what 'Q' is. 

3).
Call the mystery number 'Z'.
The quotient of the number and 4 is  Z/4.
If you add 5 to the quotient of the number and 4, you have  (Z/4 + 5).
It tells us that the result would be  10.
So write  (Z/4 + 5) = 10 and solve that simple equation to find what 'Z' is.

4).
I'm sorry.  I don't know what this question is asking for.

Answer: choice c and choice d

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

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