Q:

Select all the expressions with accurately written descriptions.

Accepted Solution

A:
Let's try to divide the sentence into multiple parts and then combine it one by one to make it easier to understand. 

1. True
2 times y and 6                                                          -------->(2y+6)
the square of the sum of "2 times y and 6"             -------->(2y+6)^2
8 times  "the square of the sum of 2 times y and 6"------> 8(2y+6)^2

2. True
the difference of x and 7                            -------->(x-7)
9 and x                                                         -------->(9 + x)
2 times the product of the sum of
"9 and x" and "the difference of x and 7"-------> 2(9 + x)  (x-7)

3. True
difference of 5 times x and 3   -------->(5x-3)
the square of the difference of 5 times x and 3------->(5x-3)^2

4. False
The description should be: the product of 7 and the square of x
the product of 7 and x                        -------->(7x)
the square of the product of 7 and x -------->(7x)^2

5. True
This one should be clear as it was one sentences
the sum of y squared(y^2) and three times y(3y) minus 4-------->y^2+ 3y -4

6. False
The description should be: the product of 5 and 8 times the square of x plus the sum of 20x and 8
the sum of 20x and 8                -------->20x+8
8 plus the square of x plus the sum of 20x and 8-------->8+ x^2 +20x+8
the product of 5 and....                ------->(5)(........
the product of 5 and
8 plus the square of x plus the sum of 20x and 8---->(5)(8+ x^2 +20x+8)