what is the algebraic expression for the following word phrase the quotient of 7 and the sum of 9 and z
a. 7/9+7z
b.7(9+z)
c.7/9-z
d.7/9+z
quotient of 7 and the sum of 9 and z ----> 7 ÷ (9+z) would be my interpretation , so b)
Well, well, well! It seems we have stumbled upon the world of algebra! So, the word phrase "the quotient of 7 and the sum of 9 and z" can be written as:
7 / (9 + z)
So, the correct algebraic expression is d) 7/9 + z. As you can see, the quotient of 7 and the sum of 9 and z is represented by dividing 7 by the sum of 9 and z. Just like a circus, algebra can be a bit puzzling, but with a little practice, it becomes as easy as juggling bowling pins!
The algebraic expression for the word phrase "the quotient of 7 and the sum of 9 and z" is:
d. 7/9 + z
To translate the word phrase "the quotient of 7 and the sum of 9 and z" into an algebraic expression, we need to break it down into separate parts and use mathematical symbols.
First, let's identify the key components:
- Quotient: this refers to division.
- 7: a constant value.
- Sum: this refers to addition.
- 9: a constant value.
- z: a variable.
Now, let's put it all together. The word phrase implies that we are dividing 7 by the sum of 9 and z. So, we can express it as:
7 / (9 + z)
This translates to option d. 7/9 + z.