Beginning Algebra, 11th Edition

(b)The sumof a number and 9 is12.

Since the solution of this equation is 3.

(c) The difference betweena number and 5 is0.

Since the solution of this equation is 5.

(d)The quotient of24 and a number is 2.

Here, xmust be a negative number, since the numerator is positive and the quotient

is negative. Since -^2412 =-2,the solution is 12.- NOW TRY

24

x

= - 2

-

5 - 5 =0,

x- 5 = 0

3 + 9 =12,

x+ 9 = 12

56 CHAPTER 1 The Real Number System

NOW TRY
EXERCISE 9
Write each sentence as an
equation, using xas the vari-
able. Then find the solution
from the list of integers be-
tween and 12, inclusive.

(a)The sum of a number and
is 7.

(b)The difference between

• 8 and a number is -11.

- 4

- 12

NOW TRY ANSWERS

9. (a) ; 11
   (b)- 8 - x=- 11 ; 3

x+ 1 - 42 = 7

CAUTION In Examples 7 and 8,the phrasestranslate as expressions,while in

Example 9,the sentencestranslate as equations.An expression is a phrase. An

equation is a sentence with something on the left side, an symbol, and something

on the right side.

Expression Equation

3 x= - 18

51 - 62

- 7 - 8



Complete solution available
on the Video Resources on DVD

1.6 EXERCISES

Concept Check Fill in each blank with one of the following: greater than 0, less than 0,

equal to 0.

1.The product or the quotient of two numbers with the same sign is.

2.The product or the quotient of two numbers with different signs is.

3.If three negative numbers are multiplied, the product is.

4.If two negative numbers are multiplied and then their product is divided by a negative

number, the result is.

5.If a negative number is squared and the result is added to a positive number, the result

is.

6.The reciprocal of a negative number is.

7.If three positive numbers, five negative numbers, and zero are multiplied, the product

is.

8.The cube of a negative number is.

9.Concept Check Complete this statement: The quotient formed by any nonzero num-

ber divided by 0 is , and the quotient formed by 0 divided by any nonzero

number is. Give an example of each quotient.

10.Concept Check Which expression is undefined?

A. B. C. D.

4 - 4

4

4 - 4

4 - 4

4 - 4

4 + 4

4 + 4

4 + 4

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