Algebra II Exponentials and Logs 2014-2015

9

TESTSQUARE ROOTS 2

108.1/8.2 GraphingExponential Functionsusing Parent Functions

11Writing ExponentialFunctions Given aGraph

12Practice Day 8.1-8.2

HW: Writing the Inverseas a Log WS p. 17-19

CW/HW:Chapter 8 Review Sheetp, 27-31

16Mixed PracticeApplications

CW/HW:Mixed Practice WS 2

, 41-42

March 2Review

238.3 Logarithmic FunctionsDay 3

17Cumulative Test

24Practice 8.1-8.3

CW/HW:Practice 8,1-8,3 WSp. 21-233Exponential andLogarithmic Test

HW:Factoring Practice WS 1p. 3317Mixed PracticeApplications

CW/HW:Mixed Practice WS 3p. 43-44

16President's Day Holiday

HW: WritingExponential EquationsGiven the Graph WSp. 5-718solving ExponentialFunctions(Common Base)

HW: ExponentialEquations WS p. 13

25Section 8.4 Propertiesof Logarithms

HW: Pg. 465(11-30 all, 33-41 all)

p, 25

4Compound Interest

HW:Compound Interest WSp. 35-3618Exponential ApplicationsQuiz

HW:Factoring Practice WS 2p, 45

HW: GraphingExponential FunctionsWS p. 1-4

CW/HW:8.1-8,2 Practice WSp, 9-11

198.3 LogarithmicFunctions Day 1

HW: Pg. 458(6-25 all, 53-61 all) p, 1426In-Class Activity

CW/HW: Begin work onChapter 8 Review Sheetp. 27-31

5Exponential Growth andDecay

HW: Exponential Growth& Decay WS. 37-38

19

13Quiz 8.1-8.2

HW: Study forCumulative Test

208.3 LogarithmicFunctions Day 2(Practice Day)

HW: Meaning ofLogarithms p. 15-16

278.5 Solving Exponential& Logarithmic Equations

HW: Solving Exponentialand LogarithmicEquations WSp, 26

6Mixed PracticeApplications

CW/HW:Mixed Practice WS 1p.39-40

2O

Name Date Per

Graphing Exponential Functions

Determine if each function represents exponential growth or exponential decay.

1 (_ÿ)x 7I. y = ÿ(1.78)x 2. y = 5 3, y = 8 (s)x

(ÿ)ÿ ÿ-ÿ (ÿ)ÿ4. y=2 5. y= 6, y=5

Graph the following and complete the information below for each problem.

7. y= 2.(2)x 8. y= (ÿ)'(2)x

Starting point Starting point

Domain Domain

Range Range.

Transformations Transformations

y- intercept y- intercept

Asymptote Asymptote

l

9. y= 2x-2 10. y = 2(x+2)

mÿu

Starting point

Domain

Range.

Transformations

y- intercept

Asymptote

Starting point

Domain

Range

Transformations

+2

y- intercept

Asymptote

Starting point

Domain

Range

Transformations

IIIIIIIIIII[II[II[II

y- intercept

Asymptote

12. y= 2-x-2

IIIIIIIII

Starting point

Domain

Range.

Transformations.

y- intercept.

Asymptote

13. y= 14. y=-ÿ.

!,

IIIIfIIIIIIIIIIIIIII

Starting point

Domain

Range.

Transformations

Starting point.

Domain

Range

Transformations

y- intercept

Asymptote

15, y=

y- intercept

Asymptote

Starting point

Domain

Range

Transformations

y- intercept.

Asymptote

16, y= -2

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Starting point

Domain

Range.

Transformations

y-intercept

Asymptote

3

17. y = -2. + 2 18. y= 2. -2

L-

I1

Starting point Starting point

Domain Domain

Range Range

Transformations Transformations

y -intercept y -intercept

Asymptote Asymptote

Factor completely.

19. 15X3 -- 20X2 + 6X -- 8 20. 64x3 + 27ys

Name Date

Writing Exponential Functions Given a Graph WS

Write the equation that represents the following graphs,

Pep ii

1, Equation 2, Equation

Domain.

Range

Intercept

Asymptote

Domain

Range

Intercept.

Asymptote

3, Equation 4. Equation i

1

Domain.

Range.

Intercept.

Asymptote

Domain

Range.

Intercept

Asymptote

5, Equation___ 6, Equation__

-!

---4

,--4

J4-4--+

--+-t-T

I

Lÿi-- -.-t

-- -.-4.

,..J

Domain

Range

Intercept

Asymptote,

Domain

Range

Intercept

Asymptote

7. Equation, 8, Equation

_- rlÿ

i

Point is (1,-16)

Domain

Range

Intercept

Asymptote

Domain.

Range

Intercept

Asymptote

9, Equation_ 10. Equation

+__i

i i

t

--t

Domain

Range

Intercept

Asymptote

Domain,

Rang eI

Intercept__

Asymptote.

Factor completely.

11. 24x3 - 36x2 + lOx - 15 12, 49x2- 64y2

13, -17x + 2X2 + 35 14, x3 827

15. 81X2 -- 4y2 16. 5x2-22x+8

Name. Date

Practice 8.1-8.2

Graph the following and complete the information below for each problem.

1. y = 4x + 1 2. y = -4x

Per'

3. y= 4(x-a)-2

Starting point Starting point Starting pointDomain Domain Domain

Range Range Range

Intercept Intercept Intercept

Asymptote Asymptote Asymptote

(_a)(x+l)4. y = 3(x+a) - 3 5. Y = "3" 6. y:1(3)x+2

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Domain

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Asymptote

Starting pointDomain

Range

Intercept

Asymptote

Starting point

Domain

Range

Intercept

Asymptote

7. y= ()x+2 8. y= ()-x+z 9. y= ÿ(6)x+1

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Domain

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Domain

Range

Intercept.

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10. y = 4(½)x 11. y= 2(ÿ)x-3 12. y= -2.3(x-z)+4

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Domain Domain Domain

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Determine if each function represents exponential growth or exponential decay.

13. y=ÿ(1,08)x 14, y=6 15. y= (2)x 16. y=3-x

Write the equation that represeats the followiag graphs.

17, Equation 18, Equation

?

o IoL_t_fz'_

JII

I

o I° t

11-1

II÷If

III

II

IiJ

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Domain:

Range:,

Intercept:Asymptote:

19, Equation 20, Equation

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r

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tII

,;r m

I

i.1 ÿ !!

:

Domain:

Range:Intercept:Asymptote:

Domain:

Range:Intercept:Asymptote:

la

Name

Solve for x.

Date

Exponential Equations WS

Do NOT use decimals in the answer.

Period

I) 2ÿ'<÷I =2×-3 2) 2-2X = ÿx+2

3) 102 = I0x-4 4) 9x÷7 = 33-×

5) 162x-3 = 4 6) 81 = 32×-4

7) B) ÿ'ÿ - 1,5/8

9) 8z+× =2 10) 4I-× = 8

I1) 272x-I = 3 12) 49×-ÿ = 7J7

I3) 42×+5 = 16×+5 14) 3-(x÷5) = 94x

15) 252x=5×÷6 16) 6x+I = 36×-I

Name Date

Section 8.3--Pg. 458 (6-25 all, 53-61 all)

Show all work on your own paper.

Period

Wri|e each equatiÿm in logarithmic fiÿrm,

6. 49 = 7;ÿ 7. I()3 = 10()(t

I0, 8;ÿ = 64 11.4 = (4)-2

Evahm|e each h)ganthm,

8. 625 ÿ- 54

14. log2 16 15, log4 2 16. logs S

18, log2 8 19. Iog4ÿ) 7 20. log5 (-25)

22. log2 25 23, Ic,gÿ1_ 24, } (}gl ] ['1 ,lÿ J{ }ÿ2 I

117, log4 8

2|, log3 9

25. log5 125

Wrile each equalio, in exponential form.

54, log 0,0001 .... 4

57, hÿg4 [ : 0

6(L tog I0 ....... I

53. h*g2 1,2N ÿ 7

56. l(ÿg,.,i 6 1

59, log2 / ...... I 61, log2 8!92 ..* 13

Kuta Software - Infinite Algebra 2

The Meaning Of Logarithms

Rewrite each equation in exponential form.

l) log6 36=2

Name

12) 1og289 17=--

2

Date Period

13) 1og14 196--2

4) log3 81=4

Rewrite each equation in logarithmic form.

1

5) 642 =86) 122= 144

7) 9.2- 181

1) 18) ÿ -144

Rewrite each equation in exponential form.

15--zv9) log,, 1610) log,,u=4

11) log7 x=y4

12) log2 v=u

13) log,, v =-16 14) logy x=-8

Rewrite each equation in logarithmic form.

15) H-14 = V 16) 8/' = a

-1-

18) 6Y= x

19) 9y = X 20) ba= 123

Evaluate each expression.

21) log4 64 22) log6 216

23) log4 16 124) log3 243

25) log5 125 26) log 2 4

27) log343 7 28) log2 16

29) 10964 4 130) log6 216

Simplify each expression.

31) 12I°gla 144 32) 5l°gs 17

log, 7233) x 34) 9I°g'ÿ 20

-2-

Name DateAlgebra II Period

WS Writing the Inverse of Exponential Functions as Logarithms and Graphing

Graph the following, then graph its inverse. Include the axis of symmetry.Write the inverse as a logarithmic function.

1) y = 3ÿx+a)

y = 3(x+l) Inverse

Domain DomainRange RangeIntercept InterceptAsymptote Asymptote

2) y = 2x + 1

y = 2x÷ 1 Inverse

Domain DomainRange RangeIntercept InterceptAsymptote Asymptote

3) y= 2(x+4)-3

t-

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y = 2(x+4) _ 3

DomainRangeInterceptAsymptote

Inverse

DomainRangeInterceptAsymptote

4) y = 2(x-3)

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y = 2(x-3)

DomainRangeInterceptAsymptote

y = 3(x+2) -- 1

DomainRangeInterceptAsymptote

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InverseDomainRangeInterceptAsymptote

InverseDomainRangeInterceptAsymptote

6) y = -2x

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DomainRangeInterceptAsymptote

y = _2(x-a)

Inverse

DomainRangeInterceptAsymptote

Namel Date Period

Practice 8.1-8.4

Write each exponential equation in logarithmic notation.

21. 142 = 196 2. 8ÿ = 4 = 81

Write each equation in exponential notation.

4. log232 = 5 5. log927 = 3 6. logs 12 125

- 3

Solve the following exponential equations.

7. 2sx = 8x+2 8. 42x+1 = 32x-3 =81

Evaluate the expression.

10, log264 11. log816 12. 1og!273

Determine whether each function represents exponential growth or exponential decay.

([)x ÿ.8x13. y = 3. 14. y =2 15. y= 12'(¼)x

I

Graph the following and complete the information below for each problem.

16. y = -2x 17. y= (½)x+3 18. y = 4(x+3) - 5

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Range Range Range

Intercept Interceptl Intercept

Asymptote Asymptote Asymptote

Graph the following, then graph it's inverse. Include the axis of symmetry. Write the inverse

as a logarithmic function.

19. y = 3x- 5

y = 3×- 5 Inverse

Domain Domain

Range Range

Intercept Intercept

Asymptote Asymptote

Write each logarithmic expression as a single logarithm.

20. 51og3 +log4 21. 41ogre-logn1

22. log3 5 + 2 log3 X

Expand each logarithm.

20. logm2n3 21. logs£s

a2b322. log c4

1

23. log4a2bs 24. log2 !25, logs 7y

Factor each expression completely:

26. 6X2 -- 216 27. 2X3 + 8X2 + X + 4 28. 3X2 ÷ 24X + 45

29, lOx2 + 3x - 464

30. x3 +125

Name Date

Section 8.4 Pg 465 (11-30 all, 34-40 evens, 79-84 all)

Show all work on your own paper.

Period

Wrilte each logarHhmtr " ....e×p) essmn as a single h)garithnl.

!3.5log3 + lug4

|5.4 I%, m log,

IlL log2 9 - log2 3

!4.1og8 - ?log6 + h+g, 3

|6. log 5 k log 2

|8. Icÿg7.v I 1oÿ,..7), log7 z

Expand each logariflmt,

19. log x3t,:;

22+ log 3ÿ(tta'-2

25. log: 7(Zr 3):!

28. log, 8', 3a+ÿ

20, log 7 22ayz

23, log5 r

26, lug a"+b'ÿ,lC

29. 10g " \{7

21, log4 5\;'7

' 3 , n24. Iog,ÿ (,:.v)-ÿ

2):271 log ,( 7

30. log,, !

Use {lÿc properIies of Iogarflhms to evalmde each expression.

33. Iog:ÿ 4 log,! 1(5

36. Iogt t logl0t}

39. 2 logÿ 3 - ) <'l> g.ÿ 3

34, 3 log: 2 log :ÿ 4

37. log€, 4 i log,.., 9

40,/log5 1 - 2 log55

35.1{,gÿ3 ÿ 5log33

• ' 4 / log,S 83ÿ. 2 log,,+ o

Expa,d each h)gari|hm.

/ ÿ--'3

79. I<)g( ?',!r ).\ 5 /

.77t. I<W, ÿ =+ ÿ '\ ,+, <

')/li' / , :ÿ

82. logb +ÿ,-.+V Zÿ

',,, ,ÿ,53;7

83. log4 ,:2 ?I: 84. log (x + +)+

Name

AIgebra IIDatePeriod

Solve for x.

Solving Exponential and Logarithmic Equations WS

1,6) logs x = 4 log5 3

3) log4 ÿ = x

5) l°gl 0 x = 3

6) loglo .O01=x

7)

10) log4 x =3

11) log2 x = ½

14)

4) logs 25-,/5 = x

2) log3 27 = x

1) log416 = x 17) 31og74+Iog73=1og7x

18) log4 (x- 3) + log4 (x + 3) = 2

19) l log2 (4x + ! O) -/og2 (x + 1) = 4

,20) log6 x = ½ log6 9 + ½ log6 27

21) log x + log x + log x = log 8

22) log9 5x = log9 6 + tog9(x- 2)

log6 (4x + 4) = log6 64 23) log4 8 + log4 (x + 16) =4

8) log4 (2x - 3) = log4 (x + 2)

9) log3 x2 = log316

12) logsx=-3

13) log2 4 + log2 6 = log2 x

25) 3x=7

26) 4x-1 = 9

28) 2x+2 =3

29) logx=3

24) log6 18 + log6 (x- 2) = 2

27) log (x- 3) = 2

2log6 4-1 log616 = log6 x

15) log3 12- log3 x = log3 3

Algebra II Name

Date Period

Chapter 8 Review Sheet

Part 1: Determine whether each function represents exponential growth or exponential decay.

(2) 1 . 2x1. y=4 x 2. y=

Part 2: Solve the following exponential equations and check your answer.

4x3. (1) :27 4. 2x+l -- 22x+3 5. 82x : !6x-3

Part 3: Write each exponential equation in logarithmic notation.

26. 72 = 49 7. 25 = 125ÿ 8. 43 = 64

Part 4: Write each in exponential notation.

9. log4 1 _ 2 10. log3 243 = 516

11. log38=x

Part 5: Evaluate the expression.

12. log3 81 13. loga6 8 14. log8 8

Part 6:

Graph the following function on the graphs below.

15. y= 2x+3

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17. y: -4 18. y = -2(2)x+ 6

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Part 7:

Write the equation that represents the following graph.

19. Equation 20. Equation

j

Or ÿ;t1

4ÿ,

......... S ......... I

Kÿ

I

I1II

Domain: Domain:

Range: Range:Intercept: Intercept:

Asymptote: Asymptote:

Part 8: Graph the following, and then graph its inverse, axis of symmetry, and asymptotes.

Write the inverse as a logarithmic function.

21. y = 2x+3 -- 1

Domain: Inverse

Range: Domain:

Intercept: Range:Asymptote: Intercept:

Asymptote:

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9: Express as a single logarithm.

log8 + 31ogx- 21ogy 22.

23. 31og2 5 - (log2x +51og2 y) 23.

Part 10: Express in expanded form.

24. log3 2x2yz 24.

25. log4 ÿfx 25.

4X3Z 26.26. log yÿ

4z27. log7 27.

Part 11: Solve for x and CHECK for extraneous solutions.

28. log2 (Sx + 4) - log2 (x - 1) = 3 29. log2 (x - 2) + log2 (x) = 3

30. logs(x + 2) + logsx = logs 15 31. log(4x+ 1) = 2

132. log4 x - ÿlog4 27 = 2 33. log6(x -- 4) + log6 X = log6 X

334. logx = ÿlog 16 35. 3x = 11

36. 5x+4 = 17

Name Date

Factoring Practice WS 1

Period

Factor completely

1. x2+ 8xy+12y2 2. 5x2- 42x-27 3, xz- 7xy+12y2

4. x2- 13x+36 5. 2X2 -- 5X -- 3 6. -17x + 2x2 -I- 35

7, 64X2- 49y2 8. 3X2- 27 9, 4x2 -- 32X + 60

10, 125x3- 27 11. 2X3 -- 54 12, 24x3 + 3

13. x3 + A27

14. X3 2764

15. 24X3 - 192y3

16. x2 + 5xy - 36y2 17. 6x2 -- 17x + 12 18. 81X2- 4

19, 36x2- 491

20. ½x2 - 21. 12x2 + 36x + 27

Name Date Period

Compound Interest WS

1, Becky received $100 for her 13ÿh birthday, If she saves it in a bank earning 5% interest compounded

quarterly, how much money will she have in the bank by her 16th birthday?

2. John earned $1,500 last summer. If he deposited the money in a certificate of deposit that earns

12.5% interest compounded monthly, how much money will he have after eighteen months?

3. The CREAM Company has a savings plan for their employees. If an employee makes an initial

contribution of $2,500 and the company pays 7.5% interest compounded quarterly, how much money will

the employee have after 10 years?

4. Melissa invests $7,500 at 12% interest for 12 months. How much money would she have if the

interest compounded:

a) yearly b) monthly c) daily

5. Find the future value of $6500 invested for 9 months at 8.5% compounded:

a) monthly b) daily c) continuously

6. Find the future value of $200 invested at 7% for 40 years compounded:

a) continuously b) quarterly

7. Native Americans were paid $24 for Manhattan Island in 1626. If this money had been invested at

6%, compounded annually, what would have been the value of this investment at the USA bicentennial in

1976?

8, If Kim invests $8000 at 7,5% interest compounded continuously, how long will it take her investment

to reach $10,500 so she can take a trip to Italy?

9, Trevor invested $440 into an account that pays 7,5% interest compounded monthly, How long will it

take for the value of the investment to reach $580?

10. An initial investment of $350 is worth $429,20 after six years of continuous compounding. Find the

interest rate.

11. An initial deposit of $200 is now worth $331,07. The account earns 8.4% interest compounded

continuously. Determine how long the money has been in the account.

12, You invest some money at 8,75% compounded continuously for 10 years. How much is the initial

investment if you have $20000 at the end of 10 years?

Name Date Period

Exponential Growth and Decay WS

Round to the following decimal places: Money to the nearest cent; Time to nearest tenth; K-value to nearest

ten-thousandth; Amount of a substance (grams, pounds, etc.) to nearest hundredth

1. For a certain strain of bacteria, k is 0.825 when t is measured in days. How long will it take 20

bacteria to increase to 2000?

2. A piece of machinery valued at $250,000 depreciates at 12% per year by the fixed rate method.

After how many years will the value have depreciated to $100,0007

3. Dave bought a new car 8 years ago for $8400. To buy a new car comparably equipped now would cost

$12,500. Assuming a steady rate of increase, what was the yearly rate of inflation in car prices over the

8-year period?

4. An organism of a certain type can grow from 30 to 195 organisms in 5 hours. Find k for the growth

formula.

5. Find the amount remaining of C-14 after 10,000 years, if we started with 8 mg and it has a halfÿlife

of 5,730 years.

6. In 1985 you bought a sculpture for $380. Each year the value of the sculpture increases by 8%.

What will it be worth in 1999?

7. In 1980 your business had revenue of $30,000. Each year after that the revenue increased by 15%.

What was the revenue in 1990?

8. There are 80 grams of Cobalt-58, which have a half-life of 71 days. How many grams will remain

after 213 days?

9. How long will it take you to double an amount of $500 if you invest it at a rate of 6% compounded

annually?

10. Jake invests $8,500 at 6.5% interest for 12 months. How much money would he have if the interest

compounded:

a) yearly b) monthly c) daily d) continuously

Name Date Period

Mixed

1. You purchase a painting at an auction far $6,000.

what will the painting be worth after 6 years?

Practice WS 1

Assuming that the painting will appreciate 7.5% per year,

2. Jim and Pare just had a baby boy. They decide to invest $8,000 for the child's college fund. If this money is

deposited into a money market account with an interest rate of 4% compounded monthly, how much will the account

be worth when the child turns 18?

3. Caroline earned $1,000 babysitting last summer. If she deposited the money into a savings account with an

interest rate of 5% compounded continuously, how long will it take the investment to double? To triple?

4. A certain strain of bacteria can increase in number from 75 to 350 in 6 hours. What is the approximate value

for the constant k? Find the number of bacteria after 8 hours.

5. Steven invests $2300 at 7.5% annual interest, compounded semiannually. How much will he have after the first

year?

6. There are 10 grams of Curium-245, which has a half-life of 9,300 years. How many grams will remain after

37,200 years?

Solve the following equations. Round your answers to the nearest hundredth if needed.

7. log2x=3 8. 3x= 10 9, 73x= 150 10. log(5x + 9) = 4

Evaluate each logarithm.

111. lo92 12, lo93o30 13. lo9381

Write as a single log.

14. 2logx + 31ogy- 51ogr 15. (109460 - 10944) + log4x

Factor Completely.

16, 15x2 - 2x -- 8 17. 36X2 - 9 18. 27x3 + y3

19. 6__ÿ4 X3 __ 1125

20, 9X2 ÷ 47X -- 42

Name Date Period

1. Chase buys an antique clock for $2500.

clock be worth after 15 years?

Mixed Practice WS 2

Assuming that the clock will appreciate 2,25% per year, what will the

2. Hg-197 has a half-life of 64,1 hours. After 48 hours, you have 11,9 mg of Hg-197, What was the original

amount of Hg-197? Round your answer to the nearest tenth.

3. Janie invests $5625 at 6.25% interest for 18 months. How much will she have if the interest compounded:

A. Yearly B, Monthly C. Daily D. Continuously

4, If Rachel invests $550 at 6,5% compounded continuously, how long will it take the investment to double?

5. Bob bought a new car 6 years ago for $24,000. To buy a new car like that today would cost $30,500, Assuming

a steady rate of increase, what was the yearly rate of inflation in new car prices over the 6 year period?

6. A certain strain of bacteria can increase in number from 85 to 500 in 8 hours. What is the approximate value

for the constant k? Find the number of bacteria after 12 hours,

7. Joe invests $4355 at 5.5% annual interest, compounded semiannually, How much will he have after ten years?

8. Curium-245 has a half-life of 9,300 years, What was the original amount if there are 87.5 mg left after

27,900 years?

9, An initial investment of $500 is now worth $1058.50, The account earns 7,5% interest compounded

continuously, How long has the money been in the account?

10. Susie invests some money at 6% compounded continuously for 20 years, How much was her initial investment if

she has $500,000 at the end of 20 years?

Solve the following equations.

11, log(4x + 2) = 4 12.

Round your answers to the nearest hundredth if needed.

72x = 380 13, log(2x - 7) = 3 14. 53x = 780

Name Date Period

Mixed Practice WS 3

1. Suppose you purchased a car for $20,000 in 2012. If the value of the car decreases by 16% each year, what

will the car be worth in 2018? In 2020?

2. Ira put $2000 into his bank. If the account pays 8% interest compounded continuously, when will it be worth

$ ooo?

3. 10 mg of Hg-197 has a half-life of 64.1 hrs. Predict the amount after 48 hrs.

4. A certain strain of bacteria can increase in number from 150 to 700 in 4 hours. What is the approximate value

for the constant k?

5. Suppose you invest some money at 6% interest compounded monthly. How long will it take for your investment

to double?

6. Two hundred years ago there were 132,000 grams of Cesium-137. How much is there today? The half-life of

Cesium is 30 years.

7. Suppose $500 is invested at 6% annual interest compounded twice a year. When will the investment be worth

$moo?

8. The Jones' bought paid $110,000 for their house. If the house will appreciate 7% per year, what will the house

be worth in 12 years?

9. Cindy has $27,000 to put into her account that will be compounded monthly at 2.4%. how much interest will

Cindy have made after 6 years?

10. Sr-85 is used in bone scans and has a half-life of 64.8 days. If a scientist started with 10 rag, how much is left

after 30 days?

Solve the following equations. Round your answers to the nearest hundredth if needed.

11. log(2x-5)=3 12. 4x=lS 13, 53x=122 14. log(3x+7)=4

Factor Completely.

15. 49X2 - 49 16. y3 + 125X3 17, 3X2 -- 15X + 18

18. 6X2 ÷ 2X -- 48 19. 8x3216

20, 15.,%.2 -- 31X + 2

Namel Date Period

Factoring Practice WS 2

Factor completely

1, 2xz + 5x - 3 2. 12x2 +7x+1 3. 8x ÷ xz - 33

4. 2x2+ 16xy+24y2 5, x2- 9xy-lOy2 6, 64x3 - 27y3

7. 9X2 -- 4y2 8. 4X2 -- 36 9. 28X2 + 13x - 6

10, 125x3 - 27 11. 3x3 - 81 12. x3 - 8y3

13. X3- ÿ125

14. 5x2-22x+8 15. 2X2 ÷ 16X + 24

16. x3 6427

17. 81X2 -- 16y2 18. 49x2 - 4

19. 81x2 - 49 20, 2x2 --25 21, 20X2 ÷ 60X + 45