Math

Algebra and Trigonometry | 8th Edition | ISBN: 9780132329033 | Authors: Michael Sullivan
New Search

Algebra and Trigonometry 8th Edition solutions

Get Unlimited Answers

Author: Michael Sullivan
Publisher: Prentice Hall
ISBN: 9780132329033
Buy the book

Select Chapter:

We have answers for this textbook’s questions
Check out the solutions to this books Chapter Problems

Chapter Problems

Chapter: Problem: R.8.1

Algebra and Trigonometry 8
(-3)2 = __ ; -32 = __ (pp. 2 1-24)

Chapter: Problem: R.5.1

Algebra and Trigonometry 8
If factored completely, 3x3 - 12x = __ .

Chapter: Problem: R.1.1

Algebra and Trigonometry 8
The numbers in the set {x x = b' where a, b are integers and b *' O}, are called ____ numbers.

Chapter: Problem: R.3.1

Algebra and Trigonometry 8
A(n) ____ triangle is one that contains an angle of 90 degrees. The longest side is called the ___ _

Chapter: Problem: 1

Algebra and Trigonometry 8
In Problems 1-8, use U = universal set = {1, 2, 3, 4, 5, 6, 7, 8, 9 } , A = { I, 3, 5, 7 }, B = {3, 5, 6, 7, 8 }, and C = {2, 3, 7, 8, 9} to find each set. AUB

Chapter: Problem: R.6.1

Algebra and Trigonometry 8
To check division, the expression that is being divided, the dividend, should equal the p{6duct of the ____ and the ____ plus the ___.

Chapter: Problem: R.4.1

Algebra and Trigonometry 8
The polynomial 3x4 - 2x3 + 13x2 - 5 is of degree __ . The leading coefficient is __ .

Chapter: Problem: R.7.1

Algebra and Trigonometry 8
When the numerator and denominator of a rational expression contain no common factors (except 1 and -1), the rational expression is in __ ___ .

Chapter: Problem: R.2.1

Algebra and Trigonometry 8
A(n) is a letter used in algebra to represent any number from a given set of numbers.

Chapter: Problem: R.8.2

Algebra and Trigonometry 8
Vi6 = __ ; v(=4)2 = __ (pp. 21-24)

Chapter: Problem: R.5.2

Algebra and Trigonometry 8
If a polynomial cannot be written as the product of two other polynomials (excluding 1 and -1), then the polynomial is said to be ____.

Chapter: Problem: R.1.2

Algebra and Trigonometry 8
The value of the expression 4 + 56 - 3 is ____ _

Chapter: Problem: R.3.2

Algebra and Trigonometry 8
For a triangle with base b and altitude h, a formula for the area A is ___ _

Chapter: Problem: 2

Algebra and Trigonometry 8
In Problems 1-8, use U = universal set = {1, 2, 3, 4, 5, 6, 7, 8, 9 } , A = { I, 3, 5, 7 }, B = {3, 5, 6, 7, 8 }, and C = {2, 3, 7, 8, 9} to find each set. BUe

Chapter: Problem: R.6.2

Algebra and Trigonometry 8
To divide 2x3 - 5x + 1 by x + 3 using synthetic division, the first step is to write ____ ).

Chapter: Problem: R.4.2

Algebra and Trigonometry 8
(x2 - 4)(x2 + 4) = __

Chapter: Problem: R.7.2

Algebra and Trigonometry 8
LCM is an abbreviation for __ ___ _

Chapter: Problem: R.2.2

Algebra and Trigonometry 8
On the real number line, the real number zero is the coordinate of the ___ _

Chapter: Problem: R.8.3

Algebra and Trigonometry 8
In the symbol -Va, the integer n is called the __ .

Chapter: Problem: R.5.3

Algebra and Trigonometry 8
True or False The polynomial x2 + 4 is prime.

Chapter: Problem: R.1.3

Algebra and Trigonometry 8
The ____ fact that 2x + 3x = (2 + 3)x is a consequence of the Property.

Chapter: Problem: R.3.3

Algebra and Trigonometry 8
The formula for the circumference C of a circle of radius r is _____.

Chapter: Problem: 3

Algebra and Trigonometry 8
In Problems 1-8, use U = universal set = {1, 2, 3, 4, 5, 6, 7, 8, 9 } , A = { I, 3, 5, 7 }, B = {3, 5, 6, 7, 8 }, and C = {2, 3, 7, 8, 9} to find each set. Ane

Chapter: Problem: R.6.3

Algebra and Trigonometry 8
True or False " In using synthetic division, the divisor is always a polynomial of degree 1, whose leading coefficient is 1.

Chapter: Problem: R.4.3

Algebra and Trigonometry 8
(x - 2) (x2 + 2x + 4) = __ .

Chapter: Problem: R.7.3

Algebra and Trigonometry 8
True or False The rational expression 2 is reduced to lowest terms

Chapter: Problem: R.2.3

Algebra and Trigonometry 8
An inequality of the form a > b is called a(n) ___ _ inequality.

Chapter: Problem: R.8.4

Algebra and Trigonometry 8
True or False = -2

Chapter: Problem: R.5.4

Algebra and Trigonometry 8
True or False 3x3 - 2x2 - 6x + 4 = (3x - 2)(x2 + 2).

Chapter: Problem: R.1.4

Algebra and Trigonometry 8
"The product of 5 and x + 3 equals 6" may be written as ____.

Chapter: Problem: R.3.4

Algebra and Trigonometry 8
Two triangles are ______ if corresponding angles are equal and the lengths of the corresponding sides are proportional.

Chapter: Problem: 4

Algebra and Trigonometry 8
In Problems 1-8, use U = universal set = {1, 2, 3, 4, 5, 6, 7, 8, 9 } , A = { I, 3, 5, 7 }, B = {3, 5, 6, 7, 8 }, and C = {2, 3, 7, 8, 9} to find each set. AnB

Chapter: Problem: R.6.4

Algebra and Trigonometry 8
True or False ) 32 5x3 + 3x2 + 2x + l ) 6 -31 -2 5 1 means = 5x- 7x + 1 + --. x+2 x+2 -10 14 -32 5 -7 16 -31

Chapter: Problem: R.4.4

Algebra and Trigonometry 8
True or False 4[2 is a monomial of degree -2.

Chapter: Problem: R.7.4

Algebra and Trigonometry 8
Trite or False The LCM of 2x3 + 6x2 and 6x4 + 4x3 is 4x3(x + 1).

Chapter: Problem: R.2.4

Algebra and Trigonometry 8
In the expression 2\ the number 2 is called the ___ _ and 4 is called the ___ _

Chapter: Problem: R.8.5

Algebra and Trigonometry 8
\ We call .;ya the ____ of a.

Chapter: Problem: R.5.5

Algebra and Trigonometry 8
In Problems 5-14, factor each polynomial by removing the common monomial factor. 3x + 6

Chapter: Problem: R.1.5

Algebra and Trigonometry 8
True or False Rational numbers have decimals that either terminate or are non terminating with a repeating block of digits.

Chapter: Problem: R.3.5

Algebra and Trigonometry 8
True or False In a right triangle, the square of the length of the longest side equals the sum of the squares of the lengths of the other two sides.

Chapter: Problem: 5

Algebra and Trigonometry 8
In Problems 1-8, use U = universal set = {1, 2, 3, 4, 5, 6, 7, 8, 9 } , A = { I, 3, 5, 7 }, B = {3, 5, 6, 7, 8 }, and C = {2, 3, 7, 8, 9} to find each set. A

Chapter: Problem: R.6.5

Algebra and Trigonometry 8
In Problems 5-16, use synthetic division to find the quotient and remainder when: x3 - x2 + 2x + 4 is divided by x - 2

Chapter: Problem: R.4.5

Algebra and Trigonometry 8
True or False The degree of the product of two nonzero polynomials equals the sum of their degrees.

Chapter: Problem: R.7.5

Algebra and Trigonometry 8
In Problems 5-16, reduce each rational expression to lowest terms. 3x + 9

Chapter: Problem: R.2.5

Algebra and Trigonometry 8
In scientific notation, 1234.5678 = ___ _

Chapter: Problem: R.8.6

Algebra and Trigonometry 8
True or False = -3

Chapter: Problem: R.5.6

Algebra and Trigonometry 8
In Problems 5-14, factor each polynomial by removing the common monomial factor. 7x - 14

Chapter: Problem: R.1.6

Algebra and Trigonometry 8
True or False The Zero-Product Property states that the product of any number and zero equals zero.

Chapter: Problem: R.3.6

Algebra and Trigonometry 8
True or False The triangle with sides of length 6, 8, and 10 is a right triangle.

Chapter: Problem: 6

Algebra and Trigonometry 8
In Problems 1-8, use U = universal set = {1, 2, 3, 4, 5, 6, 7, 8, 9 } , A = { I, 3, 5, 7 }, B = {3, 5, 6, 7, 8 }, and C = {2, 3, 7, 8, 9} to find each set. B

Chapter: Problem: R.6.6

Algebra and Trigonometry 8
In Problems 5-16, use synthetic division to find the quotient and remainder when: x3 + 2x2 - 3x + 1 is divided by x + 1

Chapter: Problem: R.4.6

Algebra and Trigonometry 8
True or False (x + a)(x2 + ax + a) = x3 + a3

Chapter: Problem: R.7.6

Algebra and Trigonometry 8
In Problems 5-16, reduce each rational expression to lowest terms. 4x2 + 8x 12x + 24

Chapter: Problem: R.2.6

Algebra and Trigonometry 8
True or False The product of two negative real numbers is always greater than zero.

Chapter: Problem: R.8.7

Algebra and Trigonometry 8
In Problems 7-42, simplify each expression. Assume thai all variables are positive when they appear. V27

Chapter: Problem: R.5.7

Algebra and Trigonometry 8
In Problems 5-14, factor each polynomial by removing the common monomial factor. ax2 + a

Chapter: Problem: R.1.7

Algebra and Trigonometry 8
True or False The least common multiple of 12 and 18 is 6.

Chapter: Problem: R.3.7

Algebra and Trigonometry 8
True or False The volume of a sphere of radius r is 3 7Tr2.

Chapter: Problem: 7

Algebra and Trigonometry 8
In Problems 1-8, use U = universal set = {1, 2, 3, 4, 5, 6, 7, 8, 9 } , A = { I, 3, 5, 7 }, B = {3, 5, 6, 7, 8 }, and C = {2, 3, 7, 8, 9} to find each set. Bne

Chapter: Problem: R.6.7

Algebra and Trigonometry 8
In Problems 5-16, use synthetic division to find the quotient and remainder when: 3x3 + 2x2 - X + 3 is divided by x - 3

Chapter: Problem: R.4.7

Algebra and Trigonometry 8
In Problems 7-16, tell whether the expression is a monomial. If it is, name the variable(s) and the coefficient and give the degree of the monomial. If it is not a monomial state , why not. 2x3

Chapter: Problem: R.7.7

Algebra and Trigonometry 8
In Problems 5-16, reduce each rational expression to lowest terms. x2 - 2x " 3x - 6

Chapter: Problem: R.2.7

Algebra and Trigonometry 8
True or False The distance between two distinct points on the real number line is always greater than zero.

Chapter: Problem: R.8.8

Algebra and Trigonometry 8
In Problems 7-42, simplify each expression. Assume thai all variables are positive when they appear. V16

Chapter: Problem: R.5.8

Algebra and Trigonometry 8
In Problems 5-14, factor each polynomial by removing the common monomial factor. ax - a

Chapter: Problem: R.1.8

Algebra and Trigonometry 8
True or False No real number is both rational and irrational.

Chapter: Problem: R.3.8

Algebra and Trigonometry 8
True or False The triangles shown are congruent.

Chapter: Problem: 8

Algebra and Trigonometry 8
In Problems 1-8, use U = universal set = {1, 2, 3, 4, 5, 6, 7, 8, 9 } , A = { I, 3, 5, 7 }, B = {3, 5, 6, 7, 8 }, and C = {2, 3, 7, 8, 9} to find each set. AUB

Chapter: Problem: R.6.8

Algebra and Trigonometry 8
In Problems 5-16, use synthetic division to find the quotient and remainder when: -4x3 + 2x2 - X + 1 is divided by x + 2

Chapter: Problem: R.4.8

Algebra and Trigonometry 8
In Problems 7-16, tell whether the expression is a monomial. If it is, name the variable(s) and the coefficient and give the degree of the monomial. If it is not a monomial state , why not. -4x2

Chapter: Problem: R.7.8

Algebra and Trigonometry 8
In Problems 5-16, reduce each rational expression to lowest terms. 15x2 + 24x --::-?- 3x

Chapter: Problem: R.2.8

Algebra and Trigonometry 8
True or False The absolute value of a real number is always greater than zero.

Chapter: Problem: R.8.9

Algebra and Trigonometry 8
In Problems 7-42, simplify each expression. Assume thai all variables are positive when they appear. V-8

Chapter: Problem: R.5.9

Algebra and Trigonometry 8
In Problems 5-14, factor each polynomial by removing the common monomial factor. x3 + x2 + x

Chapter: Problem: R.1.9

Algebra and Trigonometry 8
In Problems 9-20, use U = universal set = {O, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {I, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8}, and e = {I, 3, 4, 6} to find each set. AUB

Chapter: Problem: R.3.9

Algebra and Trigonometry 8
True or False The triangles shown are similar.

Chapter: Problem: 9

Algebra and Trigonometry 8
In Problems 9 and 10, list the numbers in the set that are (a) Natural numbers, (b) Integers, (c) Rational numbers, (d) Irrational numbers, (e) Real numbers. A = { -10, 0.65,1.343434 ... , V7, }

Chapter: Problem: R.6.9

Algebra and Trigonometry 8
In Problems 5-16, use synthetic division to find the quotient and remainder when: x5 - 4x3 + x is divided by x + 3

Chapter: Problem: R.4.9

Algebra and Trigonometry 8
In Problems 7-16, tell whether the expression is a monomial. If it is, name the variable(s) and the coefficient and give the degree of the monomial. If it is not a monomial state , why not. x

Chapter: Problem: R.7.9

Algebra and Trigonometry 8
In Problems 5-16, reduce each rational expression to lowest terms. 12x- 6x

Chapter: Problem: R.2.9

Algebra and Trigonometry 8
True or False When a number is expressed in scientific notation, it is expressed as the product of a number x, 0 :s x < 1, and a power of 10.

Chapter: Problem: R.8.10

Algebra and Trigonometry 8
In Problems 7-42, simplify each expression. Assume thai all variables are positive when they appear. V-1

Chapter: Problem: R.5.10

Algebra and Trigonometry 8
In Problems 5-14, factor each polynomial by removing the common monomial factor. x3 -x2 + x

Chapter: Problem: R.1.10

Algebra and Trigonometry 8
In Problems 9-20, use U = universal set = {O, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {I, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8}, and e = {I, 3, 4, 6} to find each set. A ue

Chapter: Problem: R.3.10

Algebra and Trigonometry 8
True or False The triangles shown are similar.

Chapter: Problem: 10

Algebra and Trigonometry 8
In Problems 9 and 10, list the numbers in the set that are (a) Natural numbers, (b) Integers, (c) Rational numbers, (d) Irrational numbers, (e) Real numbers. B = { 0, -5, ,0.59, 1.333 ... , 2V2, }

Chapter: Problem: R.6.10

Algebra and Trigonometry 8
In Problems 5-16, use synthetic division to find the quotient and remainder when: X4 + x2 + 2 is divided by x - 2

Chapter: Problem: R.4.10

Algebra and Trigonometry 8
In Problems 7-16, tell whether the expression is a monomial. If it is, name the variable(s) and the coefficient and give the degree of the monomial. If it is not a monomial state , why not. -2x-3

Chapter: Problem: R.7.10

Algebra and Trigonometry 8
In Problems 5-16, reduce each rational expression to lowest terms. x2 + 4x + 4 X 2 - 4

Chapter: Problem: R.2.10

Algebra and Trigonometry 8
True or False To multiply two expressions having the same base, retain the base and multiply the exponents.

Chapter: Problem: R.8.11

Algebra and Trigonometry 8
In Problems 7-42, simplify each expression. Assume thai all variables are positive when they appear. Vs8

Chapter: Problem: R.5.11

Algebra and Trigonometry 8
In Problems 5-14, factor each polynomial by removing the common monomial factor. 2x2 - 2x

Chapter: Problem: R.1.11

Algebra and Trigonometry 8
In Problems 9-20, use U = universal set = {O, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {I, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8}, and e = {I, 3, 4, 6} to find each set. An B

Chapter: Problem: R.3.11

Algebra and Trigonometry 8
In Problems 11-16, the lengths of the legs of a right triangle are given. Find the hypotenuse. a = 5, b = 12

Chapter: Problem: 11

Algebra and Trigonometry 8
In Problems 11-16, evaluate each expression. -6+4'(8 - 3)

Chapter: Problem: R.6.11

Algebra and Trigonometry 8
In Problems 5-16, use synthetic division to find the quotient and remainder when: 4x6 - 3x4 + x2 + 5 is divided by x - 1

Chapter: Problem: R.4.11

Algebra and Trigonometry 8
In Problems 7-16, tell whether the expression is a monomial. If it is, name the variable(s) and the coefficient and give the degree of the monomial. If it is not a monomial state , why not. -2xi

Chapter: Problem: R.7.11

Algebra and Trigonometry 8
In Problems 5-16, reduce each rational expression to lowest terms. l - 25 2y 2 - 8y - 10

Chapter: Problem: R.2.11

Algebra and Trigonometry 8
On the real number line, label the points with coordinates 0, 1, -1, , -2.5, , and 0.25. 2 4

Chapter: Problem: R.8.12

Algebra and Trigonometry 8
In Problems 7-42, simplify each expression. Assume thai all variables are positive when they appear. \54

Chapter: Problem: R.5.12

Algebra and Trigonometry 8
In Problems 5-14, factor each polynomial by removing the common monomial factor. 3x2 - 3x

Chapter: Problem: R.1.12

Algebra and Trigonometry 8
In Problems 9-20, use U = universal set = {O, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {I, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8}, and e = {I, 3, 4, 6} to find each set. Ane

Chapter: Problem: R.3.12

Algebra and Trigonometry 8
In Problems 11-16, the lengths of the legs of a right triangle are given. Find the hypotenuse. a = 6, b = 8

Chapter: Problem: 12

Algebra and Trigonometry 8
In Problems 11-16, evaluate each expression. 5 1 18 + 12

Chapter: Problem: R.6.12

Algebra and Trigonometry 8
In Problems 5-16, use synthetic division to find the quotient and remainder when: x5 + 5x3 - 10 is divided by x + 1

Chapter: Problem: R.4.12

Algebra and Trigonometry 8
In Problems 7-16, tell whether the expression is a monomial. If it is, name the variable(s) and the coefficient and give the degree of the monomial. If it is not a monomial state , why not. 5x2y3

Chapter: Problem: R.7.12

Algebra and Trigonometry 8
In Problems 5-16, reduce each rational expression to lowest terms. 31 - y - 2 :----'--- 3y- + 5y + 2

Chapter: Problem: R.2.12

Algebra and Trigonometry 8
Repeat Problem 11 for the coordinates 0, -2,2, -1.5, ,, and

Chapter: Problem: R.8.13

Algebra and Trigonometry 8
In Problems 7-42, simplify each expression. Assume thai all variables are positive when they appear. V-8x

Chapter: Problem: R.5.13

Algebra and Trigonometry 8
In Problems 5-14, factor each polynomial by removing the common monomial factor. 3x2y - 6xy2 + 12xy

Chapter: Problem: R.1.13

Algebra and Trigonometry 8
In Problems 9-20, use U = universal set = {O, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {I, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8}, and e = {I, 3, 4, 6} to find each set. (A U B)ne

Chapter: Problem: R.3.13

Algebra and Trigonometry 8
In Problems 11-16, the lengths of the legs of a right triangle are given. Find the hypotenuse. a = 10, b = 24

Chapter: Problem: 13

Algebra and Trigonometry 8
In Problems 11-16, evaluate each expression. 4 9 3 16

Chapter: Problem: R.6.13

Algebra and Trigonometry 8
In Problems 5-16, use synthetic division to find the quotient and remainder when: 0.lx3 + 0.2x is divided by x + 1 .1

Chapter: Problem: R.4.13

Algebra and Trigonometry 8
In Problems 7-16, tell whether the expression is a monomial. If it is, name the variable(s) and the coefficient and give the degree of the monomial. If it is not a monomial state , why not. 8x y

Chapter: Problem: R.7.13

Algebra and Trigonometry 8
In Problems 5-16, reduce each rational expression to lowest terms. x2 + 4x - 5 , . x2 - 2x + 1

Chapter: Problem: R.2.13

Algebra and Trigonometry 8
In Problems 13-22, replace the question mark by <, >, or =, whichever is correct. ?0

Chapter: Problem: R.8.14

Algebra and Trigonometry 8
In Problems 7-42, simplify each expression. Assume thai all variables are positive when they appear. V48x5

Chapter: Problem: R.5.14

Algebra and Trigonometry 8
In Problems 5-14, factor each polynomial by removing the common monomial factor. 60x2y - 48xy2 + 72x3y

Chapter: Problem: R.1.14

Algebra and Trigonometry 8
In Problems 9-20, use U = universal set = {O, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {I, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8}, and e = {I, 3, 4, 6} to find each set. ( A n B)Ue

Chapter: Problem: R.3.14

Algebra and Trigonometry 8
In Problems 11-16, the lengths of the legs of a right triangle are given. Find the hypotenuse. a = 4, b = 3

Chapter: Problem: 14

Algebra and Trigonometry 8
In Problems 11-16, evaluate each expression. 5 11 27

Chapter: Problem: R.6.14

Algebra and Trigonometry 8
In Problems 5-16, use synthetic division to find the quotient and remainder when: 0.1x2 - 0.2 is divided by x + 2.1

Chapter: Problem: R.4.14

Algebra and Trigonometry 8
In Problems 7-16, tell whether the expression is a monomial. If it is, name the variable(s) and the coefficient and give the degree of the monomial. If it is not a monomial state , why not. 2X2 - -3 Y

Chapter: Problem: R.7.14

Algebra and Trigonometry 8
In Problems 5-16, reduce each rational expression to lowest terms. x - x2 x + x 2 --- 2

Chapter: Problem: R.2.14

Algebra and Trigonometry 8
In Problems 13-22, replace the question mark by <, >, or =, whichever is correct. 5 ? 6

Chapter: Problem: R.8.15

Algebra and Trigonometry 8
In Problems 7-42, simplify each expression. Assume thai all variables are positive when they appear. Vx12y8

Chapter: Problem: R.5.15

Algebra and Trigonometry 8
In Problems 15-22, factor the difference of two squares. x2 - 1

Chapter: Problem: R.1.15

Algebra and Trigonometry 8
In Problems 9-20, use U = universal set = {O, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {I, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8}, and e = {I, 3, 4, 6} to find each set. A

Chapter: Problem: R.3.15

Algebra and Trigonometry 8
In Problems 11-16, the lengths of the legs of a right triangle are given. Find the hypotenuse. a = 7, b = 24

Chapter: Problem: 15

Algebra and Trigonometry 8
In Problems 11-16, evaluate each expression. v3 -2

Chapter: Problem: R.6.15

Algebra and Trigonometry 8
In Problems 5-16, use synthetic division to find the quotient and remainder when: x5 - 1 is divided by x - 1

Chapter: Problem: R.4.15

Algebra and Trigonometry 8
In Problems 7-16, tell whether the expression is a monomial. If it is, name the variable(s) and the coefficient and give the degree of the monomial. If it is not a monomial state , why not. x2 + y2

Chapter: Problem: R.7.15

Algebra and Trigonometry 8
In Problems 5-16, reduce each rational expression to lowest terms. x2 + 5x - 14 2-x

Chapter: Problem: R.2.15

Algebra and Trigonometry 8
In Problems 13-22, replace the question mark by <, >, or =, whichever is correct. -1 ? -2

Chapter: Problem: R.8.16

Algebra and Trigonometry 8
In Problems 7-42, simplify each expression. Assume thai all variables are positive when they appear. Vx10y5

Chapter: Problem: R.5.16

Algebra and Trigonometry 8
In Problems 15-22, factor the difference of two squares. x2 - 4

Chapter: Problem: R.1.16

Algebra and Trigonometry 8
In Problems 9-20, use U = universal set = {O, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {I, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8}, and e = {I, 3, 4, 6} to find each set. e

Chapter: Problem: R.3.16

Algebra and Trigonometry 8
In Problems 11-16, the lengths of the legs of a right triangle are given. Find the hypotenuse. a = 14, b = 48

Chapter: Problem: 16

Algebra and Trigonometry 8
In Problems 11-16, evaluate each expression. (-3)5

Chapter: Problem: R.6.16

Algebra and Trigonometry 8
In Problems 5-16, use synthetic division to find the quotient and remainder when: x5 + 1 is divided by x + 1

Chapter: Problem: R.4.16

Algebra and Trigonometry 8
In Problems 7-16, tell whether the expression is a monomial. If it is, name the variable(s) and the coefficient and give the degree of the monomial. If it is not a monomial state , why not. 3x2 + 4

Chapter: Problem: R.7.16

Algebra and Trigonometry 8
In Problems 5-16, reduce each rational expression to lowest terms. 2x2 + 5x - 3 1 1 - 2x

Chapter: Problem: R.2.16

Algebra and Trigonometry 8
In Problems 13-22, replace the question mark by <, >, or =, whichever is correct. -3 ?. - - 2

Chapter: Problem: R.8.17

Algebra and Trigonometry 8
In Problems 7-42, simplify each expression. Assume thai all variables are positive when they appear. Vx9yy --- xy3

Chapter: Problem: R.5.17

Algebra and Trigonometry 8
In Problems 15-22, factor the difference of two squares. 4x2 - 1

Chapter: Problem: R.1.17

Algebra and Trigonometry 8
In Problems 9-20, use U = universal set = {O, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {I, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8}, and e = {I, 3, 4, 6} to find each set. An B

Chapter: Problem: R.3.17

Algebra and Trigonometry 8
In Problems 17-24, the lengths of the sides of a triangle are given. Determine which are right triangles. For those that are, identify the hypotenuse. 3, 4, 5

Chapter: Problem: 17

Algebra and Trigonometry 8
In Problems 17 and 18, use the Distributive Property to remove the parentheses. 4(x - 3)

Chapter: Problem: R.6.17

Algebra and Trigonometry 8
In Problems 17-26, use synthetic division to determine whether x - c is a factor of the given polynomial. 4x3 - 3x2 - 8x + 4; x - 2

Chapter: Problem: R.4.17

Algebra and Trigonometry 8
In Problems 1 7-26, tell whether the expression is a polynomial. 1f it is, give its degree. If it is not, state why not. 3x2 - 5

Chapter: Problem: R.7.17

Algebra and Trigonometry 8
In Problems 1 7-34, pelform the indicated operation and simplify the result. Leave your answer in factored form. 3x + 6 x . x2 - 4

Chapter: Problem: R.2.17

Algebra and Trigonometry 8
In Problems 13-22, replace the question mark by <, >, or =, whichever is correct.

Chapter: Problem: R.8.18

Algebra and Trigonometry 8
In Problems 7-42, simplify each expression. Assume thai all variables are positive when they appear. V3xy2 --- 81x4y2

Chapter: Problem: R.5.18

Algebra and Trigonometry 8
In Problems 15-22, factor the difference of two squares. 9x2 - 1

Chapter: Problem: R.1.18

Algebra and Trigonometry 8
In Problems 9-20, use U = universal set = {O, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {I, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8}, and e = {I, 3, 4, 6} to find each set. Bue AUB

Chapter: Problem: R.3.18

Algebra and Trigonometry 8
In Problems 17-24, the lengths of the sides of a triangle are given. Determine which are right triangles. For those that are, identify the hypotenuse. 6, 8, 10

Chapter: Problem: 18

Algebra and Trigonometry 8
In Problems 17 and 18, use the Distributive Property to remove the parentheses. (x - 2)(3x + 1)

Chapter: Problem: R.6.18

Algebra and Trigonometry 8
In Problems 17-26, use synthetic division to determine whether x - c is a factor of the given polynomial. -4x3 + 5x2 + 8; x + 3

Chapter: Problem: R.4.18

Algebra and Trigonometry 8
In Problems 1 7-26, tell whether the expression is a polynomial. 1f it is, give its degree. If it is not, state why not. 1 - 4x

Chapter: Problem: R.7.18

Algebra and Trigonometry 8
In Problems 1 7-34, pelform the indicated operation and simplify the result. Leave your answer in factored form. 3 x2 2x ' 6x

Chapter: Problem: R.2.18

Algebra and Trigonometry 8
In Problems 13-22, replace the question mark by <, >, or =, whichever is correct. v2? 1.41

Chapter: Problem: R.8.19

Algebra and Trigonometry 8
In Problems 7-42, simplify each expression. Assume thai all variables are positive when they appear. V36x

Chapter: Problem: R.5.19

Algebra and Trigonometry 8
In Problems 15-22, factor the difference of two squares. x2 - 16

Chapter: Problem: R.1.19

Algebra and Trigonometry 8
In Problems 9-20, use U = universal set = {O, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {I, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8}, and e = {I, 3, 4, 6} to find each set.

Chapter: Problem: R.3.19

Algebra and Trigonometry 8
In Problems 17-24, the lengths of the sides of a triangle are given. Determine which are right triangles. For those that are, identify the hypotenuse. 4, 5, 6

Chapter: Problem: 19

Algebra and Trigonometry 8
In Problems 19 and 20, graph the numbers x on the real number line. x > 3

Chapter: Problem: R.6.19

Algebra and Trigonometry 8
In Problems 17-26, use synthetic division to determine whether x - c is a factor of the given polynomial. 3x4 - 6x3 - 5x + 10; x - 2

Chapter: Problem: R.4.19

Algebra and Trigonometry 8
In Problems 1 7-26, tell whether the expression is a polynomial. 1f it is, give its degree. If it is not, state why not. 5

Chapter: Problem: R.7.19

Algebra and Trigonometry 8
In Problems 1 7-34, pelform the indicated operation and simplify the result. Leave your answer in factored form. 4x2 x3 - 64 x2 _ 16 2x

Chapter: Problem: R.2.19

Algebra and Trigonometry 8
In Problems 13-22, replace the question mark by <, >, or =, whichever is correct. ? 0.5

Chapter: Problem: R.8.20

Algebra and Trigonometry 8
In Problems 7-42, simplify each expression. Assume thai all variables are positive when they appear. V9x5

Chapter: Problem: R.5.20

Algebra and Trigonometry 8
In Problems 15-22, factor the difference of two squares. x2 - 25

Chapter: Problem: R.1.20

Algebra and Trigonometry 8
In Problems 9-20, use U = universal set = {O, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {I, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8}, and e = {I, 3, 4, 6} to find each set. Bne

Chapter: Problem: R.3.20

Algebra and Trigonometry 8
In Problems 17-24, the lengths of the sides of a triangle are given. Determine which are right triangles. For those that are, identify the hypotenuse. 2, 2,3

Chapter: Problem: 20

Algebra and Trigonometry 8
In Problems 19 and 20, graph the numbers x on the real number line. x :s; 5

Chapter: Problem: R.6.20

Algebra and Trigonometry 8
In Problems 17-26, use synthetic division to determine whether x - c is a factor of the given polynomial. 4X4 - 1 5x2 - 4; x - 2

Chapter: Problem: R.4.20

Algebra and Trigonometry 8
In Problems 1 7-26, tell whether the expression is a polynomial. 1f it is, give its degree. If it is not, state why not. -7

Chapter: Problem: R.7.20

Algebra and Trigonometry 8
In Problems 1 7-34, pelform the indicated operation and simplify the result. Leave your answer in factored form. 12 x3 + 1 x2 + X 4x -

Chapter: Problem: R.2.20

Algebra and Trigonometry 8
In Problems 13-22, replace the question mark by <, >, or =, whichever is correct. ? 0.33

Chapter: Problem: R.8.21

Algebra and Trigonometry 8
In Problems 7-42, simplify each expression. Assume thai all variables are positive when they appear. V3.?V12x

Chapter: Problem: R.5.21

Algebra and Trigonometry 8
In Problems 15-22, factor the difference of two squares. 25x2 - 4

Chapter: Problem: R.1.21

Algebra and Trigonometry 8
In Problems 21-26, list the numbers in each set that are (a) Natural numbers, (b) Integers, (c) Rational numbers, (d) Irrational numbers, (e) Real numbers. A - -6 ' 2 , -1 .333 ... (the 3 s repeat), ?T, 2,5

Chapter: Problem: R.3.21

Algebra and Trigonometry 8
In Problems 17-24, the lengths of the sides of a triangle are given. Determine which are right triangles. For those that are, identify the hypotenuse. 7, 24, 25

Chapter: Problem: 21

Algebra and Trigonometry 8
In Problems 21 and 22, let P, Q, and R be points on a real number line with coordinates -2,3, and 9, respectively. Find the distance between P and Q.

Chapter: Problem: R.6.21

Algebra and Trigonometry 8
In Problems 17-26, use synthetic division to determine whether x - c is a factor of the given polynomial. 3x6 + 82x3 + 27; x + 3

Chapter: Problem: R.4.21

Algebra and Trigonometry 8
In Problems 1 7-26, tell whether the expression is a polynomial. 1f it is, give its degree. If it is not, state why not. 3x2 - X

Chapter: Problem: R.7.21

Algebra and Trigonometry 8
In Problems 1 7-34, pelform the indicated operation and simplify the result. Leave your answer in factored form. 4x - 8 12 K' 12-6x

Chapter: Problem: R.2.21

Algebra and Trigonometry 8
In Problems 13-22, replace the question mark by <, >, or =, whichever is correct. 2 "3? .0. 6 7

Chapter: Problem: R.8.22

Algebra and Trigonometry 8
In Problems 7-42, simplify each expression. Assume thai all variables are positive when they appear. V5x V20x3

Chapter: Problem: R.5.22

Algebra and Trigonometry 8
In Problems 15-22, factor the difference of two squares. 36x2 - 9

Chapter: Problem: R.1.22

Algebra and Trigonometry 8
In Problems 21-26, list the numbers in each set that are (a) Natural numbers, (b) Integers, (c) Rational numbers, (d) Irrational numbers, (e) Real numbers. B = { - , 2.060606 ... (the block 06 repeats), 1 .25, 0, 1, Vs }

Chapter: Problem: R.3.22

Algebra and Trigonometry 8
In Problems 17-24, the lengths of the sides of a triangle are given. Determine which are right triangles. For those that are, identify the hypotenuse. 10, 24,26

Chapter: Problem: 22

Algebra and Trigonometry 8
In Problems 21 and 22, let P, Q, and R be points on a real number line with coordinates -2,3, and 9, respectively. Find the distance between Q and R.

Chapter: Problem: R.6.22

Algebra and Trigonometry 8
In Problems 17-26, use synthetic division to determine whether x - c is a factor of the given polynomial. 2x6 - 1 8x4 + x2 - 9; x + 3

Chapter: Problem: R.4.22

Algebra and Trigonometry 8
In Problems 1 7-26, tell whether the expression is a polynomial. 1f it is, give its degree. If it is not, state why not. . -+ 2 x

Chapter: Problem: R.7.22

Algebra and Trigonometry 8
In Problems 1 7-34, pelform the indicated operation and simplify the result. Leave your answer in factored form. 6x - 27 2 --- 5x 4x - 18

Chapter: Problem: R.2.22

Algebra and Trigonometry 8
In Problems 13-22, replace the question mark by <, >, or =, whichever is correct. ? 0.25

Chapter: Problem: R.8.23

Algebra and Trigonometry 8
In Problems 7-42, simplify each expression. Assume thai all variables are positive when they appear. NVs)2

Chapter: Problem: R.5.23

Algebra and Trigonometry 8
In Problems 23-32, factor the perfect squares. x2 + 2x + 1

Chapter: Problem: R.1.23

Algebra and Trigonometry 8
In Problems 21-26, list the numbers in each set that are (a) Natural numbers, (b) Integers, (c) Rational numbers, (d) Irrational numbers, (e) Real numbers. C = 0, 1, 2' 3' 4 }

Chapter: Problem: R.3.23

Algebra and Trigonometry 8
In Problems 17-24, the lengths of the sides of a triangle are given. Determine which are right triangles. For those that are, identify the hypotenuse. 6, 4, 3

Chapter: Problem: 23

Algebra and Trigonometry 8
In Problems 23-28, evaluate each expression if x = -5 and y = 7. ""'- x + Y

Chapter: Problem: R.6.23

Algebra and Trigonometry 8
In Problems 17-26, use synthetic division to determine whether x - c is a factor of the given polynomial. 4x6 - 64x4 + x2 - 15; x + 4

Chapter: Problem: R.4.23

Algebra and Trigonometry 8
In Problems 1 7-26, tell whether the expression is a polynomial. 1f it is, give its degree. If it is not, state why not. 2y 3 - v

Chapter: Problem: R.7.23

Algebra and Trigonometry 8
In Problems 1 7-34, pelform the indicated operation and simplify the result. Leave your answer in factored form. x2 - 3x - 10 x2 + 4x - 21 x + 2 2x - 35 x 2 + 9x + 14

Chapter: Problem: R.2.23

Algebra and Trigonometry 8
In Problems 23-28, write each statement as an inequality. x is positive

Chapter: Problem: R.8.24

Algebra and Trigonometry 8
In Problems 7-42, simplify each expression. Assume thai all variables are positive when they appear. (\13 ViOt

Chapter: Problem: R.5.24

Algebra and Trigonometry 8
In Problems 23-32, factor the perfect squares. x2 - 4x + 4

Chapter: Problem: R.1.24

Algebra and Trigonometry 8
In Problems 21-26, list the numbers in each set that are (a) Natural numbers, (b) Integers, (c) Rational numbers, (d) Irrational numbers, (e) Real numbers. D = {-I, -1.1, - 1.2, -1.3}

Chapter: Problem: R.3.24

Algebra and Trigonometry 8
In Problems 17-24, the lengths of the sides of a triangle are given. Determine which are right triangles. For those that are, identify the hypotenuse. 5, 4, 7

Chapter: Problem: 24

Algebra and Trigonometry 8
In Problems 23-28, evaluate each expression if x = -5 and y = 7. 12x - 3yl

Chapter: Problem: R.6.24

Algebra and Trigonometry 8
In Problems 17-26, use synthetic division to determine whether x - c is a factor of the given polynomial. x6 - 1 6x4 + x2 - 1 6; x + 4

Chapter: Problem: R.4.24

Algebra and Trigonometry 8
In Problems 1 7-26, tell whether the expression is a polynomial. 1f it is, give its degree. If it is not, state why not. 1 0z2 + z

Chapter: Problem: R.7.24

Algebra and Trigonometry 8
In Problems 1 7-34, pelform the indicated operation and simplify the result. Leave your answer in factored form. 2 + x - 6 x2 - 25 ----- x2 + 4x - 5 x2 + 2x - 15

Chapter: Problem: R.2.24

Algebra and Trigonometry 8
In Problems 23-28, write each statement as an inequality. z is negative

Chapter: Problem: R.2.25

Algebra and Trigonometry 8
In Problems 23-28, write each statement as an inequality. x is less than 2

Chapter: Problem: R.8.25

Algebra and Trigonometry 8
In Problems 7-42, simplify each expression. Assume thai all variables are positive when they appear. (3V6)(2v2)

Chapter: Problem: R.5.25

Algebra and Trigonometry 8
In Problems 23-32, factor the perfect squares. x2 + 4x + 4

Chapter: Problem: R.1.25

Algebra and Trigonometry 8
In Problems 21-26, list the numbers in each set that are (a) Natural numbers, (b) Integers, (c) Rational numbers, (d) Irrational numbers, (e) Real numbers. E = { \12, ?T, \12 + 1, ?T + }

Chapter: Problem: R.3.25

Algebra and Trigonometry 8
Find the area A of a rectangle with length 4 inches and width 2 inches.

Chapter: Problem: 25

Algebra and Trigonometry 8
In Problems 23-28, evaluate each expression if x = -5 and y = 7. 5x1Y2

Chapter: Problem: R.6.25

Algebra and Trigonometry 8
In Problems 17-26, use synthetic division to determine whether x - c is a factor of the given polynomial. x6 - 1 6x4 + x2 - 1 6; x + 4

Chapter: Problem: R.4.25

Algebra and Trigonometry 8
In Problems 1 7-26, tell whether the expression is a polynomial. 1f it is, give its degree. If it is not, state why not. x2 + x -I

Chapter: Problem: R.7.25

Algebra and Trigonometry 8
In Problems 1 7-34, pelform the indicated operation and simplify the result. Leave your answer in factored form. 6x x2 - 4 3x - 9 2x + 4

Chapter: Problem: R.2.26

Algebra and Trigonometry 8
In Problems 23-28, write each statement as an inequality. Y is greater than -5

Chapter: Problem: R.8.26

Algebra and Trigonometry 8
In Problems 7-42, simplify each expression. Assume thai all variables are positive when they appear. (5Vs)( -3\1'3)

Chapter: Problem: R.5.26

Algebra and Trigonometry 8
In Problems 23-32, factor the perfect squares. x2 - 2x + 1

Chapter: Problem: R.1.26

Algebra and Trigonometry 8
In Problems 21-26, list the numbers in each set that are (a) Natural numbers, (b) Integers, (c) Rational numbers, (d) Irrational numbers, (e) Real numbers. F = { - \I2' ?T + \12, + 10.3 }

Chapter: Problem: R.3.26

Algebra and Trigonometry 8
Find the area A of a rectangle with length 9 centimeters and width 4 centimeters.

Chapter: Problem: 26

Algebra and Trigonometry 8
In Problems 23-28, evaluate each expression if x = -5 and y = 7. 2x2y-2

Chapter: Problem: R.6.26

Algebra and Trigonometry 8
In Problems 17-26, use synthetic division to determine whether x - c is a factor of the given polynomial. 3x4 + x3 - 3x + 1; 1 x + -

Chapter: Problem: R.4.26

Algebra and Trigonometry 8
In Problems 1 7-26, tell whether the expression is a polynomial. 1f it is, give its degree. If it is not, state why not. 3x3 + 2x -1 ----=?:----- r-+x+1

Chapter: Problem: R.7.26

Algebra and Trigonometry 8
In Problems 1 7-34, pelform the indicated operation and simplify the result. Leave your answer in factored form. 12x 5x + 20 ---=-4x2 x2 - 16

Chapter: Problem: R.2.27

Algebra and Trigonometry 8
In Problems 23-28, write each statement as an inequality. x is less than or equal to 1

Chapter: Problem: R.8.27

Algebra and Trigonometry 8
In Problems 7-42, simplify each expression. Assume thai all variables are positive when they appear. 3v2 + 4v

Chapter: Problem: R.5.27