HW Chapter 8 Eponents Simplif each of the following: 7 ( )( ) a ( a )( a ) Simplif each epression. 7 ( )( ) ( cd )( c ) Simplif each of the following assuming that no denominator is equal to zero. Leave NO negative eponents. 9r r 7 7 8 7 9 Simplif each of the following assuming that no denominator is equal to zero. Leave NO negative eponents. 7 r s t r s t Simplif each of the following: 8 8a 7 ab 9 0 ( ) 9 7w u wu ( p) pq 0 7 8a b a 9 b 8
The length of a rectangle is units. The width of the rectangle is units. What is the area of the rectangle? 0 Simplif the following: 9 Simplif each of the following: (t) Given the following dimensions of a rectangle, find the area. gh cd The area of a rectangle is units. If the length is units, find the width of the rectangle. Write the equation that represents the following graph. The length of a side of a square is a b units. Find the area of the square. What do we call the graph in #? Simplif each of the following: ( k m )( k m) 7 ( a b)(a ) 7 Determine if the following is correct. If not, eplain wh and rework it correctl. ( )( ) (-) 8 ( a )( a ) 9 (cd )(c d )
8 Eplain the steps that should be used to simplif the following epression and simplif it. a b The area of a parallelogram is p q square units. If the base of the parallelogram measures pq units, what is the height of the parallelogram? ( p 0 and q 0 ) 9 Simplif: 0 Simplif: (a b)( ab ) Which epression is equivalent to? B C D Eveln is going to bu a new computer for $00, including ta. She will pa for the computer b making monthl paments of $0. If Eveln has made p paments, which equation best describes b, the remaining balance? Which epression is equivalent to? F G H J If B C D 9,what is equivalent to Simplif each epression: 7 wu wu 0 a b 0a b? b0p 00 B b00 0p 8 kd 7 8kd 8 C b00 0 D b0p 00 p 9 8 8r s r s
0 What is the simplified form of F ef g H 9 e f g 7 e f g e f g? Find the missing eponent for the following. 9? b b b G f eg J f 9 eg? 9 a a a Eplain the steps that should be used to simplif the following epression. 8 7? 0 c c? 8 d d d 9? e e Determine if the following are correct. If not, rework it correctl. 7 cd 8 cd The area of a rectangle is 0m n square units. If the length of the rectangle is m n units, how man units wide is the rectangle? ( m 0 and n 0 ) 0 Which equation best describes the relationship between the corresponding values of and shown in the table? F 0 G H J 8 The side length of a square is z units. What is the area of the square? Which epression describes the area in square units of a rectangle that has a width of and a length of? 0 B C D 7 m n units 7 9 m n units 7 m n units 7 80m n units F G H J 7 7
What is an equation for the line passing through the point T and having a slope of? 9 9 What is the simplified form of d? F 9 7d T B C D G H J d d d Simplif each of the following assuming that no denominator is equal to zero. Leave NO negative eponents. 70 Simplif the following: 9 9 8 7 7 The area of a triangle is 0 square units, and the base of the triangle is units long. What is the triangle s height? 7 7 F G H J units 8 units units 8 units 8 Which of the following epression is B C D equivalent to 8? Find the missing eponent for the following:? 7 7? 8 8 7? 8 7? 7 9 9
7 What is the volume of a cube with an edge length of units? Simplif each epression: 78 0 = B 8 cubic units cubic units 79 7 0 = C D cubic units cubic units 80 d ef de f 0 = 8 = 77 Which epression describes the area in square units of a rectangle that has a width of and a length of? 8 8 = 8 = F 0 8 Which epression simplifies to? G H 0 B J C D 8 8 Solve the inequalit and graph. 0
8 Use the function to find the net terms. NEXT NOW 0 NOW.0 Simplif the epressions 90 t t 9 ( ) 87 Write an equation for the table first using NEXT/NOW notation and then as an eponential function. 9 p - 0 0 0 0. 9 s t 9 r r 88 Write an equation for the table first using NEXT/NOW notation and then as an eponential function. - 0 0 9 8 9 Write an equation for the list of values using NEXT/NOW notation and then use it to find the 8 th term.. 89 Use the function to find the net terms. NEXT NOW NOW 9 97 Solve the sstem 9 8 7
Identif each function as linear, eponential growth, or eponential deca 98 99 00. 0 0One computer industr epert reported that there were about 00,000,000 computers worldwide in 00 and that the number was increasing at an annual rate of about 0%. What is the number of computers that will be in use in 009? 0 0 0 00(.7) 0.7(00) Use the function to find the net terms. NEXT NOW NOW. 0 The Greens bought a condominium for $8,000. ssuming that its value will appreciate % per ear, how much will the condo be worth in five ears when the are read to move again? Ten ears ago, Mr. and Mrs. Boce bought a house for $9,000. The value of their house appreciated at a stead rate of %. What is the value of their house now? For each of the following identif the growth factor and the growth rate. Identif the function as growth or deca and write the equation to model it. 07 (.8) (0, ) (, ) 08 09 a( b )
Use the equation.(.) Does it represent eponential growth or deca? 9 piece of machiner valued at $,00 depreciates at a stead rate of 0% earl. The owner plans to replace the equipment after ears. What will the depreciated value be at this time? Find the value when = - Find the value when = 7 Identif the function as growth or deca and write the equation to model it. (0, ) (, ) 0 Shana has a total of 0 music CDs in two categories. The number of her rock CDs is 8 more than twice the number of her countr CDs. Which sstem of equations can be used to find how man rock CDs, r, and countr CDs, c, Shana has? r = c r 0 = c B r c = 0 c = r + 8 C r + c = 0 r = c + 8 D r + c = 0 c = r 8 8 Identif the function as growth or deca and write the equation to model it. Identif the function as growth or deca and write the equation to model it. (0, ) (,.7) (0, ) (, )
Write an equation for the table first using NEXT/NOW notation and then as an eponential function. - 0 /8 / / For each of the following identif the deca factor and the deca rate. 7 (.8) 8. Use the equation (.7) Does it represent eponential growth or deca? 9 a( b ) Find the value when = - 0 Use the function to find the net terms. Find the value when = NEXT NOW NOW Zeller Industries bought a piece of weaving equipment for $0,000. It is epected to depreciate at a stead rate of 0% per ear. What will the value be after ears? Kle has saved $00 of the mone he earned working at Carousel Music. If he spends 0% of the mone each week, how much mone will he have left after weeks?
Simplif the epressions z Tell whether the points would lie on the graph of an eponential growth or eponential deca. Write a rule for the function. 0, and,.8 ( ) 7 0,8 and,.8 p p z z 0, and,.8 Compare each of the following with the graph of the function 8 Write the equation of the line that passes through the points (-,) and (,). 7 8 8 8 9 0 8 8 In 00 a famil bought a boat for $000. The boat depreciates at a rate of 7% annuall. In 00 a person offers to bu the boat for $000. Should the famil sell the boat?
Compare each of the following with the graph of the function 7. Solve the sstem 0 8 9 0 If a population triples each ear, what is the growth factor? Growth rate? There are students in Ms. Leo s math class. The ratio of bos to girls is :. Which equation can be used to determine g, the number of girls in Ms. Leo s class? B C D g = g = g = = g
REVIEW Simplif: 7 Simplif: ab 8 Simplif: st Simplif: 8ab 9 ab 9 Simplif: r 8 r 0 Simplif: 8 0 Simplif: a b a c b c Simplif: 0 Find the missing eponent for the following. Simplif: a 8 b a b? p p p p? 8 0 B The area of a rectangle is and the width of the rectangle is 9 units 7 units. Write an epression that describes the length of the rectangle? C? 9 k? D g 9g 88g
Simplif: 7 race car driver bought a car for $8,000. The car will depreciate at a stead rate of % earl. The owner plans to drive the car for ears. What will the depreciated value be at this time? (round to the nearest dollar) Simplif: 8 h 8 Use the function to find the net terms. NEXT NOW. NOW a b b Simplif: 8ab 9 Write an equation for the table first using NEXT/NOW notation and then as an eponential function. - 0 8 9.. Find the area of a square if the length of a side measures 8g h units. 0 Identif the function as growth or deca and write the equation to model it. Simplif: a b c ab c (0, ) (, )
Use the equation (.) Does it represent eponential growth or deca? Compare each of the following with the graph of the function B. Find the value when = C D Find the value when = - Identif the growth factor and the growth rate. (.8) B Eight ears ago, Dan & Suzanne bought land to build a house on near Possum Kingdom for $0,000. The value of their land appreciated at a stead rate of %. What is the value of their land toda? (round to the nearest dollar)