# How do you write the phrase as an algebraic expression “Five more than the quotient of z divided by seven equals 12”?

Apr 4, 2018

$5 + \frac{z}{7} = 12$

#### Explanation:

More than is equivalent to a plus sign(indicating addition), quotient is the equivalent to division, and equals is telling you that this is the resultant, thus it is an equal sign.
Thus the expression will be $5 + \frac{z}{7} = 12$

Apr 4, 2018

$5 + \frac{z}{7} = 12$

Here's how I did it:

#### Explanation:

Let's split this sentence up:
"Five more than" refers to adding something by $5$.

"The quotient of z divided by seven" refers to $\frac{z}{7}$.

Finally, "equals 12" refers to setting everything above equal to $12$.

Combining everything above, we get:
$5 + \frac{z}{7} = 12$

Hope this helps!