Please check my answers
1.)what is the algebraic expression for the following word phrase : the product of 6 and n ?
A.6-n
B.6+n
C.6n*****
D.n/6
2.what is the algebraic expression for the following word phrase : the quotient of 6 and the sum of x+y?
A.6/x-y
B.6/x+y*******
C.6(x+y)
D.)6/x+6y
3.)what is the algebraic expression for the following word phrase : the quotient of y and 6
A.y+6
B.y/6
C.6y*****
D.6-y
#1 ok
#2 ok, since 6/(x+y) isn't in the list
#3 nope. What does quotient mean?
1.) Your answer C. 6n is correct. The algebraic expression for "the product of 6 and n" is 6n.
2.) Your answer B. 6/x+y is correct. The algebraic expression for "the quotient of 6 and the sum of x+y" is 6/(x+y).
3.) Your answer C. 6y is correct. The algebraic expression for "the quotient of y and 6" is y/6.
Your answers are almost correct. Here are the correct answers:
1. The algebraic expression for the word phrase "the product of 6 and n" is C. 6n.
2. The algebraic expression for the word phrase "the quotient of 6 and the sum of x+y" is B. 6/(x+y).
3. The algebraic expression for the word phrase "the quotient of y and 6" is B. y/6.
So, the corrected answers are:
1.) C. 6n
2.) B. 6/(x+y)
3.) B. y/6
Let's analyze each question and how to arrive at the correct answer:
1.) The word phrase "the product of 6 and n" can be translated into the algebraic expression 6n. The correct answer is C. 6n.
2.) The word phrase "the quotient of 6 and the sum of x+y" can be translated into the algebraic expression 6/(x+y). The correct answer is B. 6/(x+y).
3.) The word phrase "the quotient of y and 6" can be translated into the algebraic expression y/6. The correct answer is B. y/6.
Remember, when translating word phrases into algebraic expressions, pay close attention to the keywords and their mathematical conversions. In this case, "product" translates to multiplication (*), "quotient" translates to division (/), and "sum" translates to addition (+).