Answer:

Step-by-step explanation:
Foil the equation!
1. You see that is to the second power so it means this 
2. Then you use the Foil method. First, Outside, Inside, and Last.
3. Combined like terms
4. Answer!
A tip you can use to avoid Foil is this mental math trick: (Keep in mind this only works if the polynomial is being squared.)
1. Multiply the first number by itself = 
2. Add the first number by itself = 
3. Multiply the last number by itself = 
4. Combined to form your answer = 
NOTE: This is the same thing as a foil but it uses mental math so it takes less time!
First exercise:
a. The first prime numbers are 2,3,5,7,11,... So, the greatest prime interger between 4 and 9 is 7. A = 7.
b. Since the number line's growing direction is rightwards, going to the left means to decrease. So, point E is 4 less than point A, i.e. 7-4 = 3. E = 3.
c. The additive inverse of a number
is another number
such that
. So, we're looking form a number such that
, and thus O = - 3.
d. This point looks a bit ambiguous to me honestly. We know that IO = 2, which I presume means that the points I and O are two units apart, but we're not told if I is two units left or right with respect to O. To solve this issue, I'm assuming that IO implies that I sits before O, and so I is two units left with respect to O. As we said in point a., two units left means two less, so we have I = -3-2 = -5. At this point, point L is halfway between -5 and -3, and thus L = - 4.
e. The sum of the coordinates of A and E is 7 + 3 = 10. Half that sum is 5, so M = 5.
In the attached image, you can see the number line filled with the points asked by the exercise.
Second exercise:
All the requests can be written as an equation in which we look for the values of x. Below you find the equation and the solutions.





A little side note: I've honestly never met the expression "subtract A to B", but always "subtract A from B". I assumed they mean the same thing, but if anybody thinks I'm wrong please let me know! (I'm not a native speaker, so I can only refer to the math I met during my studies).

(7c-18)-2c>0
group like terms: 7c-2c-18>0
add similar elements: 7c-2c=5c
5c-18+18>0+18
Add 18 to both sides
5c-18+18>0+18
simplify
5c>18
divide both sides by 5
5c÷5>18/5
simplify
c>18/5
nswer:
SEE BELOW FOR ANSWER
Step-by-step explanation:
THE PROBLEM TELLS US JAMES AND THEN ELAINE
SO THE RATIO IS JAMES 2 AND ELAINE 3