What kind of society did President Lyndon B. Johnson envision when he created the Great Society programs?

A)one in which extremism in the defense of liberty is encouraged

B)one that ensured access to justice, education, decent housing, and health care for all Americans

C)one that made separate schools for black and white children truly equal

D)on that emphasized that all people are equal only in the eyes of God

Question (1):
Assume that the number is x
We want to get: four times the sum of x and 3
This means that we would add x and 3 first and then multiply the result by 4.
The algebraic expression would be as follows:
4(x+3)

Question (2):
Assume that the number is x.
We want to get: 7 less than fifteen times x
This means that we would multiply the x by 15 and then subtract 7 from the product.
The algebraic expression would be as follows:
15x - 7

Question (3):
Assume that the number is x.
We want to get: the difference of nine times x and the quotient of 6 and x 
This means that:
i- We would first multiply 9 by the number x
ii- Then we would divide 6 by x
iii- Finally we will subtract the quotient (step ii) from the product (step i)
The algebraic expression would be as follows:
(9x) - (6/x)

Question (4):
Assume that the number is x.
We want to get: the sum of 100 and four times a number
This meas that we would first multiply 4 by x and then add 100 to the product.
The algebraic expression would be as follows:
4x + 100

Question (5):
Assume that the number is x.
We want to get: the product of 3 and the sum of 11 and x
This means that we would first add 11 to the number x and then multiply the result by 3
The algebraic expression would be as follows:
3(11+x)

Question (6):
Assume that the number is x.
We want to get: four times the square of x increased by five times x
This means that:
i- We would square the x first
ii- multiply the result from step i by 4
iii- multiply 5 by x
iv- add the result from step ii to the result from step iii
The algebraic expression would be as follows:
4x^2 + 5x

Question (7):
Assume that the number is x.
We want to get: 23 more than the product of 7 and x
This means that we would multiply x by 7 and then add 23 to the product
The algebraic expression would be as follows:
7x+23

Hope this helps :)