Graded assignment
unit 2 end of unit 2 assignment: adding and subtracting rational numbers
answer the questions below. when you are finished, submit this assignment to your teacher by the due date for full credit.
total score: of 15 points
(score for question 1: of 4 points)
1. use both methods to find the distance between the points on the number line.
method a: count the number of units between the points.
method b: take the absolute value of the difference of the two numbers.
when taking the absolute value, show the larger number first, then show the lesser number first when finding the difference.


a.
b.

(score for question 2: of 5 points)
2. the table shows several animals that live in or below a tree. the table also shows the elevation of their dwellings, relative to ground level.
dwellings elevation (m)
groundhog burrow -1.2
red squirrel den 0.3
robin’s nest 3.6
(a) plot and label the elevation of each dwelling on a vertical number line.
(b) calculate the vertical distance between each pair of dwellings. organize your results in a table.

a) plot and label the elevation of each dwelling on a vertical number line. (2 pts)

b) calculate the vertical distance between each pair of dwellings. (3 pts)
groundhog burrow to red squirrel den
red squirrel den to robin’s nest
groundhog burrow to robin’s nest

(score for question 3: of 6 points)
3. a recipe calls for cups of flour, cup of white sugar, and cup of brown sugar.
(a) how many total cups of ingredients are there? find a common denominator and then show your work using a number line.
(b) which of the following mixing bowls should you use to make the recipe: 2-cup, 3-cup, or 4-cup? explain why you choose this mixing bowl.


a) how many total cups of ingredients are there? find a common denominator and then show your work using a number line. (4 pts)

b) which of the following mixing bowls should you use to make the recipe: 2-cup, 3-cup, or 4-cup? explain why you choose this mixing bowl. (2 pts)

Okay Im going off of my work because we did some in class and then the rest by ourselves but i turned mine in yesterday but didnt recieve a grade yet but i hope these help you...

The number number line it is seven units apart.

The absolute value larger number smaller number would be 2 - (-5). So what you do with that is keep the 2 change the subtraction sign to plus sign and change the negative 5 to positive 5. So your answer would be 7.

And smaller number to larger number would be -5 - 2. And then you do the same steps as the last one. Keep the negative five, change the subtraction sign to addition sign and make the two  negative. And that answer would be -7

2. For the number two problem you would plot the robins nest just below the top of the verticle line. the red squirrel den would be right next to the zero but a tad up. And the groundhog burrow would be below the zero mark and a little before the end of the verticle line.

Next, for groundhog burrow to red squirrel den you put the number 0.3-(-1.2)=1.5    Red squirrel den to Robin’s nest 3.6 – 0.3 = 3.3. And for the last one Groundhog burrow to Robin’s nest 3.6 – (-1.2) = 4.8.

3. you have to turn the 1 1/2 and 3/4 into 8ths. 1/2= 3*4 = 12 and for the denominator 2*4 = 8. So 12/8.

The next one is 3*2 which is 6 and 4*2=8

so now you have 12/8, 6/8, and 1/8

you have to add the points on the chart (i cant really help you on this part because i do not know how to upload picture) but you would make 24 and then you find where 12/8 would go and draw the hops but on mine the hop looks like how you would draw a rainbow but just one for the 12. Then do the same for the 6 and add 1 for the last one to make 19.

On mine I add the 12 + 6 + 1 = 19 so that is how i got mine. (sry if this a bad explination)

it should kinda look like this on the chart.

| | | | | | | | | | | | | | | | | | | | | | | | they should be spaced apart like this.

and for the last one i put cup 3 because it bigger than the amount of ingrident in the recipe. (im not sure if that one was the answer this is the only part we didnt get help on in class)

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get