Variables in Algebra - Intermediate Algebra

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

Step-by-Step Solution

Answer

The Algebraic expression are:

(a) 14x²-13

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

(c) z+13

(d)18<8x

Step 1: Given Algebraic expressions are: (a) The difference of 14x 2 and 13. (b) the quotient of 12x and 2 (c) 13 more than z (d)18 less than 8x To translate the English phrase into an algebraic expression.

Let us write the algebraic expression. 

Part (a) Step 1: The difference of 14x 2 and 13 The expression is : 14x 2 -13

The Algebraic expression is 14x²-13

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

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

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

So, the algebraic expression is Z+13 

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

So, the algebraic expression is 18<8x