Infinite Algebra 2 - CHAPTER 6 REVIEW

Algebra 2

Name___________________________________

©l j2A0C1D5E FKZuttIas _Stolfht[w\awr]e\ [LqLmCr.F R `A]lmlS `rsiigUhethsB HrYe[sQe[rGvcends.

CHAPTER 6 REVIEW

Date________________ Period____

Solve each equation. 1) 64 -2 p = 16

2) 64 -3r = 4 2

3) 10 x = 53

4) 10 n - 8 = 67

5) e -9 p = 65

6) e r + 10 = 66

7) 18 k + 1 = 60

8) 14 m = 12

Sketch the graph of each function. 9) f ( x) = 4 x

()

1 10) f ( x) = 3

y 20

x

y 18

20

16

18

14

16

12

14

10

12

8

10

6

8

4

6

2

4 2

-6

-4

-2

2

4

6

x -6

-4

-2

2

4

6

x

Solve each equation. 11) log 2 (-5 x - 4) = log 2 ( x + 1)

Worksheet by Kuta Software LLC

-1-

©p D2U0d1a5C jKHuptWaV aSMoifItswBaQrsev MLuLLC\.e h wAIlslV WrkiwgShatSss VrtefsbeorAvhe\dA.P S RMrahdWe[ vwAirtVh] fIQnOffidnni\tieu FAXlbgWeJbcrkaJ J2F.

Identify the domain and range of each. Then sketch the graph. 12) f ( x) = log 3 ( x + 6) - 5 y 8 6 4 2 -8

-6

-4

-2

2

4

6

8 x

-2 -4 -6 -8

Expand each logarithm. 13) log 8 7 3

14) log 4

5 12

15) log 6 (2 × 7)

Evaluate each expression. 16) log 25 5

17) log 49 7

18) log 5 125

19) log 2 8

Use the properties of logarithms and the values below to find the logarithm indicated. Do not use a calculator to evaluate the logs. 20) log 5 12 » 1.5 log 5 9 » 1.4 log 5 8 » 1.3 Find log 5 60

21) log 3 11 » 2.2 log 3 10 » 2.1 log 3 8 » 1.9 Find log 3

3 88

Solve each equation. 22) -6 log 11 x = 6

23) -10 + log 3 a = -9

24) log 6 (r - 10) = 2

25) log 8 (n + 10) = 3

26) On day 0 there are 50 Zombies. Their population is growing at a rate of 10% per day. a) How many zombies are there on day 8? b) On what day are there 3,000 zombies?

Worksheet by Kuta Software LLC

-2-

©o ]2N0Y1h5i _KuuMtCaZ SSGo]fFtNwJavroec HLUL]Cm.` E gAWldlp hreivgchZtpsb kr\ebsDeNrOvcecdp.a Z RMdaLdVey BwtiCthhG pIrnmfKinniiUtNek SAolvg_eXburpaY o2C.

Answers to CHAPTER 6 REVIEW

{ }

{ }

1 3 ln 65 5) -9

3) log 53

2 9 6) ln 66 - 10

1) -

2) -

9)

7)

10)

y

-6 -4 -2

log 59 log 18 11) -

20 18 16 14 12 10 8 6 4 2 2 4 6

12)

-6 -4 -2

x

y

Domain: x > -6 Range: All reals

8 6 4 2 -8 -6 -4 -2 -2 -4 -6 -8

8)

log 12 log 14

{ }

y

20 18 16 14 12 10 8 6 4 2

4) log 67 + 8

2 4 6

5 6

x

13) 3 log 8 7

14) log 4 5 - log 4 12

1 2 21) -3.1

18) 3

2 4 6 8 x

15) log 6 2 + log 6 7 19) 3

1 2 20) 2.5

23) {3}

24) {46}

16)

17)

25) {502}

22)

{} 1 11

26) 50e 0.8,

ln 60

0.1

days

Worksheet by Kuta Software LLC

-3-

©V i2j0L1e5G KKBuXtOaB oShokfUtVw`awrneJ PLBLdCZ.S a zANlelz OrAiqgihkttss wrAe`sAeSrpvteIdV.t f WMhaed[em OwBistuhI yI\nefAiin\igtWeO ZAelSgWeGbJrXa` p2M.