Question

Translate the English phrase into an algebraic expression:

(a) the difference of 14x²and 13

(b) the quotient of 12x and 2

(c) 13 more than z

(d)18 less than 8x

Short answer

The Algebraic expression are:

(a) 14x²-13

(b)$\frac{12x}{2}$

(c) z+13

(d)18<8x

Step-by-step solution

Given Algebraic expressions are:(a) The difference of  14x2  and  13.(b) the quotient of 12x and 2(c) 13 more than z(d)18 less than 8xTo translate the English phrase into an algebraic expression.

Let us write the algebraic expression.

Part (a) Step 1:The difference of  14x2  and  13The expression is : 14x2-13

The Algebraic expression is 14x²-13

Part(b) Step 1: The quotient of 12x and 2The expression is 12x2.

So, the algebraic expression is$\frac{12x}{2}$

Part (c) Step 1:(c) 13 more than zThe Expression is : Z+13

So, the algebraic expression is Z+13

Part (d) Step 1:(d)18 less than 8xThe expression is : 18<8x

So, the algebraic expression is 18<8x