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Chapter 1: 1.16 (page 19)

Translate the English phrase into an algebraic expression:
(a) The sum of 17y2 and 19
(b) The product of 7 and y

(c) Eleven more than x
(d) Fourteen less than 11a

Short Answer

Expert verified

a)17y2+9b)7脳yc)x+11d)11a-14

Step by step solution

01

Part (a) Step 1. Write Algebraic expression for the sum of17y2and 19

The "Sum of 17y2and 19," where "Sum of" indicates "Addition," is a phrase we use. "17y2Add 19" or "17y2+19" is the algebraic expression for this sentence.

02

Part (b) Step 1. Write Algebraic expression for the product of 7 and y 

The "Product of 7 and y," as the term "Product" signifies "multiplication," is a word we use. "7 multiply by y" is the algebraic expression for this sentence, which can alternatively be written as

"7脳y".

03

Part (c) Step 1. Write Algebraic expression for Eleven more than x.

The "11 more than x," in which "more than" indicates "added to," is a phrase we use. "11 Added to x" is the algebraic expression for this sentence, which may also be written as "x+11".

04

Part (d) Step 1. Write an algebraic expression for Fourteen less than 11a.

The "14 less than 11a," in which "less than" means "subtracted from," is a phrase we use. "14 subtracted from 11a" is the algebraic expression for this
the statement is "11a-14".

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