Question

Translate the English phrase into an algebraic expression:

a. the difference of 14x² and 13

b. the quotient of 12x and 2

c. 13 more than z

d. 18 less than 8x

Short answer

The Algebraic expressions are:

a.14x²-17

b.12x÷2$\frac{12x}{2}$$\frac{12z}{2}$

c. z+13

d.8x-18

Step-by-step solution

Given information 

The English phrase are :

a. the difference of 14x² and 13

b. the quotient of 12x and 2

c. 13 more than z

d. 18 less than 8x

We have to translate he given phrases into algebraic expressions.

Part(a) Step 1

The given phrase is

a. The difference of 14x² and 13

So, the algebraic expression is

14x²-13.

Part (b) Step 1

The given phrase is

b. the quotient of 12x and 2

The algebraic expression is

12x÷2 $\frac{12x}{2}$

Part (c) Step 1

The given phrase is

c. 13 more than z

The algebraic expression is:

z+13

Part (d) Step 1

The given phrase is:

d.18 less than 8x

18 subtracted from 8x means the same as 18 less than 8x.

The algebraic expression is:

8x-18