Chapter 10. Section 10.1 = 2(27) Practice Problems. The value of 2y + y 6 when y = 3 is 57. The height of the object at 1 second is 514 feet.
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1 Chapter 0 Section 0. Practice Problems. (+ + ( ( + ( ( + (. ( + ( + 0. ( z.z+ + (z.z+. z + z.z.z+ +. z.z ( + ( + ( + ( ( + ( ( +. (b+ (b 0 (b+ + ( b+ 0 b b+ + 0 b +. ( + + ( + ( ( ( + ( + ( + + ( ( ( + ( ( + + The value of + when is.. t + 0 ( The height of the object at second is feet. t + 0 ( + 0 ( The height of the object at seconds is feet. Vocabular and Readiness Check. The addends of an algebraic epression are the terms of the epression.. A polnomial with eactl term is called a monomial.. A polnomial with eactl terms is called a binomial.. A polnomial with eactl terms is called a trinomial.. To add polnomials, combine like terms.. To subtract polnomials, change the sign of the terms of the polnomial being subtracted, then add. Eercise Set 0.. (+ + ( +. ( + ( + +. ( z + z + ( z z+ z z + z z + z z. (a + a + (a a+ a + a + a a + a a Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
2 ISM: Prealgebra Chapter 0: Eponents and Polnomials ( 0 ( ( + ( (.a + + (.a a +.a.a a + +.a a +. (.z z + (.z + z+.z.z z+ z+.z z+. ( ( ( + ( ( +. ( z + z+ (z +. ( z + z+ + ( z z z + z+ z + z+ (0 ( (0 ( 0. ( + ( + 0 ( + + ( ( ( ( ( ( + ( ( + 0. a + (a + a+ a + + a a a a+. ( z + z ( z + z ( ( z + ( ( z + ( ( z z+. ( + ( + ( + ( ( + ( ( +. (a (a+ (a + ( a a a a. (b+ ( b+ (b+ + (b b+ b+ b. ( + ( ( + + ( ( +. ( ( + ( 0 0. (+ + ( + +. (+ (+ (+ + ( +. (z (z+ (z + ( z z z z Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
3 Chapter 0: Eponents and Polnomials ISM: Prealgebra. ( + + ( ( a a + (a a+ a + a a a+ a a+. (z z+ + ( z z z z + z z z z+ z z 0z (+. + ( ( ( ( a ( a+ ( a + (a a+ a a. ( t+ ( t+ ( t+ + (t t+ t+ t +. (. (. (. + ( z + z z + + z (.+ (. (.+ + ( (t t+ ( t + t (t t+ + ( t t+ t + t t t+ + t t+. ( + ( + ( + + ( (b + b b + (b + b+ b + b + b b+ b + b + b + b. + ( + +. ( 0. ( ( ( + ( 00 ( (. ( ( Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
4 ISM: Prealgebra Chapter 0: Eponents and Polnomials 0. ( ( + ( 0 ( ( ( + 0 ( t ( ( In seconds, the object travels feet.. t ( ( 0 The building is 0 feet tall ( The cost for 0 file cabinets is $ (0( The cost for 00 file cabinets is $ t 0 ( 0 ( 0 0 After seconds, the height of the object is 0 feet t 0 ( 0 ( 0 0 After seconds, the height of the object is feet.. 00 corresponds to ( + 0( + 00 ( million cellular subscribers are epected in corresponds to ( +.( +..( million wireless Internet users are epected in ( ( ( ( ( (. ( ( (.... a a a a a 0. bb b. P ( 0 + (+ + ( The perimeter is ( + inches.. P ( + + ( + ( 0 + ( The perimeter is ( + meters.. ( 0 (+ ( 0 + ( 0 The missing length is ( units.. ( + ( + ( + + ( + + The missing length is ( + units. 0 Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
5 Chapter 0: Eponents and Polnomials ISM: Prealgebra Since +, 0 and +, the missing numbers are 0,, and. ( 0 ( Since +,, and + 0, the missing numbers are,, and 0. ( ( ( z z z 0 0+ ( z ( z ( z ( z z z. ( b b b. ( ( (. ( ( ( ( ( ( ( ( ( 0 Vocabular and Readiness Check. In, the is called the eponent.. a a + a (. (. + (... b + b 00 (. + ( t 0 ( t when t is feet. 0 t 0 ( 0 0 t when t is feet. answers ma var Section 0.. To simplif, we add the eponents.. To simplif (, we multipl the eponents.. The epression Eercise Set a a a a + bb b b ( simplifies to. Practice Problems. z z ( ( z z z... + z z z z + ( ( ( r s ( r s ( ( r r ( s s r rs + + s. r r ( ( r r r. 0 ( 0( 0. ( (. ( (. ( ( 0. ( ( 0 0 Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
6 ISM: Prealgebra Chapter 0: Eponents and Polnomials. a a a ( ( a a a a 0 0. b b b ( ( b b b b. ( ab ( a ( b a a b 0 b. ( ( ( ( (. ( ( ( ( (. ( ab( a b ( ( a a ( b b a b. ( ab( ab ( ( a a( b b ( ( ( z z z ( a a a ab 0 0 ( b ( b b b 0 b b + 0 b b ( ( +. ( a a a. (. ( ( ( ( ( ( (( 0. ( ( ( ( ( ( 0. ( ( ( [ ( ( ] ( ( ( ( ( 0 0. ( ( ( [ ( ( ] ( ( ( ( (. (. ( (a + b a + ( (b a b. (r + s r + ( (s r s. ( ( a+ b a+ b a+ b... ( a b ( a ( b a b a b ( ( ( (0 0 ( ( area s ( ( The area is square inches. 0 Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
7 Chapter 0: Eponents and Polnomials ISM: Prealgebra 0. area lw ( ( ( ( The area is square centimeters.. area bh ( ab ( ab ( ( a a b b ab The area is a b square meters.. Area bh (0 (0 (0 0( 00 The area is 00 square feet.... ( ab ( ab ( a ( b ( a ( b a b a b ( ( a a ( b b 0,00,a b 0 ( ( 0 ( ( ( ( 00, 00 (, ( (,, (.. (,.0. (. a. ( a.a. answers ma var ( ( a b c ( a b a b c a b a b c Integrated Review. (+ + ( +. ( + ( + 0. (+ ( (+ + ( ( ( ( + ( + +. ( a + a + (a a a a + a a + a a a a + a. (a a + (a + a + (a a + + ( a a a a a a + a a. ( ( (.. + ( ( ( +. ( ( Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
8 ISM: Prealgebra Chapter 0: Eponents and Polnomials a a a a ( ( 0 ( ( ( (. ( 0. ( ( ( ( ( ( ( ( Section 0. Practice Problems ( ( r r r r r r r r r r r. (. ( ( ( ( (. ( ab( ab ( ( a a( b b ab.. ( z ( ( z z z 0 ( ab ( a ( b a b a b. (0 ( 0 ( 00 (00 ( 00. ( z ( z ( z z z z ( ( z z z. ( ab ( ab ( a b ( a ( b 0 a b a b 0 ( ( a a ( b b a b ( b+ ( b+ b( b+ + ( b+ bb + b + b+ b + b+ b+ b + b+ ( (+ (+ ( ( ( ( ( ( + ( ( + + (0 ( ( ( + ( ( (+ (+ ( (+ ( + ( + + ( ( ( Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
9 Chapter 0: Eponents and Polnomials ISM: Prealgebra Eercise Set 0.. (. 0. ( ( + ( + ( (z+ ( z z( z + ( z z z z + z z z+ z z z... ( a(a a a a ( a( a ( a( a + a + a b( b b+ ( b( b ( b( b + ( b( b + 0b b.. (a+ (a+ (a+ a(a+ + (a+ a a+ a + a+ a + a+ a+ a + a+ (b (b (b ( b b (b b b+ b( b ( b b b+ b b+... ( + ( ( ( ( + ( ( + z ( z z+ ( z ( z ( z ( z + ( z ( z z + z ( + ( + 0 ( ( ( a+ ( a a+ aa ( a+ + ( a a+ a a + a( a + a + a + ( a + a a + a+ a a+ a a+ ( + ( + ( + + ( ( ( ( + ( + ( + + ( Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
10 ISM: Prealgebra Chapter 0: Eponents and Polnomials ( ( + 0 ( + 0 ( ( 0 + ( ( + ( ( ( ( (z (z + z+ z(z + z+ (z + z+ z z + z z+ z + ( ( z + ( ( z + ( ( z + z + z z z z + z + z ( + + (+ + (+ + + (+ + + ( ( + ( + + ( + + ( ( ( ( + ( ( + ( ( r( r+ 0 r ( r + 0r 0r + 0r ( (+ + ( ( ( + z (z z+ z z z + z ( z + z z z z + z ( + ( + ( + + ( ( + ( ( + ( + ( + + ( + (a+ (a a(a + (a a a+ a( + a+ ( a a+ a a 0 Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
11 Chapter 0: Eponents and Polnomials ISM: Prealgebra. (s+ (s s(s + ( s s s+ s( + ( s + ( s s+ s s s. (+ (+ (+ (+ + ( ( + ( + ( + ( + + ( ( + ( + ( + ( + + ( b+ b+ b b+ + b+ b + b+ b+ b + b+ a a+ a a+ + a a + a a a a 0 00 a a (+ (+ (+ (+ + ( ( ( ( ( + ( ( + + (a (a (a a(a + ( (a a a a+ a a+ ( ( + ( + ( ( + ( + ( + + ( (+ ( + + ( ( ( + + ( + + ( ( ( ( ( + ( + + ( ( Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
12 ISM: Prealgebra Chapter 0: Eponents and Polnomials ( a + a + ( a + a a ( a + a + a ( a + a + ( a + a a + a a + a + a a + a + a a + a + a z z+ z + z z + z z z + z 0z z + z 0z z + z b b+ b b+ b b+ b + b b b b + b b b + b b ( ( + + ( + + ( ( The area is square feet. (+ (+ (+ + ( ( The area is + + square centimeters. 0 Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
13 Chapter 0: Eponents and Polnomials ISM: Prealgebra.. ( ( ( ( + ( ( + + The area of the shaded figure is ( + square meters. (+ ( ( ( ( + ( + The area of the shaded figure is ( square miles.. answers ma var Section 0. Practice Problems. The GCF is.. The GCF of z, z, and z z is z z since is the smallest eponent to which z is raised.. The GCF of,, and is. The GCF of a, a, and The GCF of a, a, and a is. a a is a.. The GCF of 0 and is ( +. The GCF of the terms is. z z+ z z+ (z z ( + or ( + Vocabular and Readiness Check. In, the and the called a factor and is each is called the product.. The greatest common factor (GCF of a list of integers is the largest integer that is a factor of all integers in the list.. The GCF of a list of variables raised to powers in the variable raised to the smallest eponent in the list.. Factoring is the process of writing an epression as a product. Eercise Set 0.. GCF. 0 GCF. 0 GCF. GCF. 0 GCF. 0 GCF. 00 GCF GCF 0 0 Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
14 ISM: Prealgebra Chapter 0: Eponents and Polnomials. 0 GCF. z z z z z z z GCF z 0. GCF. GCF... a a a a a a GCF a b b b b b b b b GCF b GCF. 0.. GCF + + ( + GCF + + ( + 0a a a a a GCF a 0a a a a a a ( a. ab a bb ab a bb ab a b GCF a b a b. 0 GCF ( GCF z z z z z z z z GCF z. 0 GCF ( + + Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
15 Chapter 0: Eponents and Polnomials ISM: Prealgebra... b b b b b b b b GCF b b b + b b b b b+ b bb ( b+ z z z z z GCF z z z z z z z ( z 0 GCF ( +. or or or GCF or + + ( ( + ( ( ( + or ( or 0 or or GCF or 0+ ( (0 + ( ( + ( ( (0 + or ( 0+. a a a a a GCF a a a a a a a ( a. 0% % of 0 is.. % 0.. % of is % 00. % % 00. %.% 00% 00. % %. area on the left: area on the right: total area: + Notice that ( area on the left area on the right total area (+ or +. answers ma var 0. answers ma var. Let and z. ( + z ( + (+ (+ (+ + ( Chapter 0 Vocabular Check 0. z z z 0z z GCF z z 0z z z z z (z. Factoring is the process of writing an epression as a product.. The greatest common factor of a list of terms is the product of all common factors. Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
16 ISM: Prealgebra Chapter 0: Eponents and Polnomials. The FOIL method ma be used when multipling two binomials.. A polnomial with eactl terms is called a trinomial.. A polnomial with eactl terms is called a binomial.. A polnomial with eactl term is called a monomial.. Monomials, binomials, and trinomials are all eamples of polnomials.. + (. ( (. ( + + (0 + ( + + ( The perimeter is ( + feet.. In, the is called an eponent. Chapter 0 Review. (b+ + (b 0 b+ b+ 0 0b. (s + (s s+ s s. (+ 0. (. ( ( (0 (+ (0 + ( Perimeter ( + + ( + + ( + + ( The perimeter is ( + meters z z z z + + ( ( ( a a a. (z + z + (z z + z+ z z + z. (a + a + a + ( a a a + a + a + a a a + a. 0 0 ( ( ( b b b ( abc ( a ( b ( c a b c 0 0 a b c ( ( ( Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
17 Chapter 0: Eponents and Polnomials ISM: Prealgebra... ( ( ( ( ( ( A s ( a ( a a a The area is a square miles. + A lw The area is square inches.. (z + z+ ( z + z+ z ( z + z+ + z( z + z+ + ( z + z+ z + z + z + z + z + z+ z + z+ z + z + z + z+. ( a+ ( a a+ a( a a+ + ( a a+ a a + a+ a a+ a + a a+ The area is ( a + a a + square centimeters.. a(a a a a 0a a. ( + ( ( + ( ( +. ( + ( ( ( + ( ( + +. ( ( ( + ( ( (a+ (a+ (a+ a a+ a + a+ a + a+ a+ a + a+. ( + ( + ( + + ( ( ( + + ( + + ( GCF. GCF. 0 0 GCF. 0 0 GCF. 0 GCF 0 0. GCF. GCF Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
18 ISM: Prealgebra Chapter 0: Eponents and Polnomials. ab a b b ab a ab b ab a a b GCF ab. a a a 0a a 0a a a GCF a. z z 0 z z z z GCF z. GCF + + ( +. a a a a a GCF a a a a a a a( a. GCF (. GCF + + ( +. a a a a a a a a GCF a a a + a a a a a+ a a (a a GCF (. z z+ + z z + z+. ( ( abc ( a ( b c a b 0 c. ( ( ( (. a(a a a + a( a a. ( + ( (+ (+ ( (z+ ( z z z+ z 0 z z 0. 0 GCF. z z z z z z z z GCF z Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
19 Chapter 0: Eponents and Polnomials ISM: Prealgebra. z z z z z GCF z z z z z z z ( z. GCF + + ( +. a a a a a GCF a a + a a + a a ( + a. z z z z z GCF z z z z z z z ( z Chapter 0 Test. ( + ( +. ( ( ( + ( + +. (. + + ( a + a+ ( a + a... + ( ( ( a + a+ + a a a + a ( ( 0 ( a ( a (( ( a a a ( p ( p p p p p + p p ( ab ( ba ( a b( ba ab ba + + a b 0 a b. ( ( + ( +. ( ( + ( + ( (+ (+ (+ (+ + ( ( a+ ( a a+ aa ( a+ + ( a a+ a a + a( a + a + a + ( a + a a + a+ a a+ a +. Area: ( + ( ( + ( + + The area is ( + square inches. Perimeter: ( + ( + 0 The perimeter is ( inches. Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
20 ISM: Prealgebra Chapter 0: Eponents and Polnomials. 0 GCF. GCF 0. GCF (. 0a a a a a GCF a 0a + a a a+ a a(a+. 0 GCF 0 (. GCF + + ( + Cumulative Review Chapters 0. Area 0 0 0,00 The area of Colorado is approimatel 0,00 square miles.. There are pecan trees.. + ( 0 + ( + + ( ( + + ( + + ( + ( 0. + (. + (. ( +. ( rounded to the nearest tenth is.... rounded to the nearest tenth is Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
21 Chapter 0: Eponents and Polnomials ISM: Prealgebra....(... False No, is not a solution (... True Yes, is a solution ( ( since. 0. since.. Let be the height of the tree. The height of the tree is feet.. Let be the height of the hdrant. The height of the fire hdrant is feet... 0%. % Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
22 ISM: Prealgebra Chapter 0: Eponents and Polnomials % % of 0 is.. 0. % % of is.. % There are freshman.. % + % + % + % % % of Americans has one or more computers at home.. % + % + % % % of Americans have fewer than computers at home.. P l + w ( + ( + The perimeter is inches.. P + + The perimeter is feet.. A bh... The area is. square miles.. A bh (( The area of the triangle is square inches.. % There are 0 apples in the shipment.. simple interest P R T $00 0% $ $0 The interest is $0. 0. simple interest P R T 0 $000 % $ $ The interest is $ tons 000 lb tons 0 lb tons 000 lb tons 0 lb tons 0 lb tons 00 lb tons 00 lb tons + ton 000 lb tons 000 lb 0 ml L 0 0 ml L. L 000 ml 000 cl L cl L. L 00 cl 00 Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
23 Appendi C Practice Problems Appendices ( + ( + ( ( ab a b a b ab.. ab a b ab a b ( a ( b 0 ab ( ( z ( z z z z Appendi C Eercise Set... 0 ( ( p q p q 0 p q p q pq p q 0 0 Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
24 ISM: Prealgebra Appendices. ab a b ab a b a b ab ab... q q ( z z z z ( ( ( 0 ( p p ( a a a a a a a + a a p p... + ( + z z z z z z z z z + ( + ( ( ( ( a b ( a b a b a b Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
25 Appendices ISM: Prealgebra. + ( ( ( mn ( mn m n m n m n m n 0. + ( ( ( ( ( ( + ( ( ( 0 + ( ( ab a b a b a b ab a b 0 z z z z z 0 0 z z ( + (... Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
26 ISM: Prealgebra Appendices z ( z z z z r ( r r r r ( + ( ( ( ( + ( ( m n ( m n m n 0 m n 0 m n 0 m n. + + ( Appendi D Practice Problems. a. b. 0, (. a. b.. a , 00, 000 ( 0 ( ( ( a b ( a b a b a b a b a b + + ( ( ( b. 0 0 ( 0 0 0,000,000 Appendi D Eercise Set...., , 00, 000, Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
27 Appendices ISM: Prealgebra ,0, , ( ( 0 ( , 00. 0,000,000, ( ( 0 ( , , 00, 000, ( , ,000, ,,,000,000,000,000, ( , , 000, , 000, , 0, 000, 000, , 00, 000, 000 0, 000, 000, ,, ( (. 0 ( ( (. 0 ( (. 0 (00 (. 0 ( On average, gallons of water flow over Niagara Falls each hour. (.0 0 (0,000 (.0 0 ( Light travels 0,000 ears. kilometers in Copright 00 Pearson Education, Inc., publishing as Pearson Prentice Hall
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