Jan. 5 6 4th Six Weeks Part 17.1A Properties ofExponents

Algebra IISquare Roots Unit

2014-201577.1 Roots & RadicalExpressions

87.2 Multiplying & DividingRadical Expressions

HW: PP 11-12Adding/SubtractingRadicals PuzzleMultiplying Radicals #2Puzzle19

26 Part 27.8 Graphing SquareRoots & Square RootInequalities

HW: PP 1-4Graphing Square Roots WS

=eb. 2

7.7 Inverse Relations &Functions

HW: Pg, 11-12

9

HW: PP 25-26Spiral Review WS 7

16President's Day Holiday

Martin Luther KingHoliday

HW:WS PP 1-27.1A Property of

Exponents

13Practice Day 7.1A-7,3

CW/HW; 13-16Practice 7.1A-7,3

207.4 RationalExponents Day 2

HW: PP 20WS 7,4 Radical

Functions and RationaJExponents WS 2

277.5 Solving SquareRoots & Other RadicalEquations Day 1

HW: PP 5-6WS 7.5 (1-13 all)37.7 Inverse Relations &Functions

HW: Pg 13-15

10

17Cumulative Test

127.3 Binomial RadicalExpressions

HW: PP 3-4WS 7,1 Roots andRadical Expressions

14Practice Day 7.1A-7,3

CW/HW: 13-16Practice 7,1A-7,3

21Practice Day 7.4

CW/HW: PP 21Fraction ExponentsPuzzle

287.5 Solving SquareRoots & Other RadicalEquations Day 2

HW; PP 5-6WS 7.5 (15-30 all)47.7 Inverse Relations &Functions

HW: Pg 17

11

18

Teacher InserviceHW: PP 5-6WS 7.2 Multiplying &Dividing Radical Expressions

Extra Practice PP 715Quiz 7.1A-7,3

HW: PP 17Spiral Review WS 5

22Review 7.1-7.4

CW/HW: PP 23-25Review

29Practice Day 7.5 & 7.8

CW/HW; 7-8Practice 7,5 & 7,8WS

5Quiz 7.7

HW: PP 19 Factoring WS

12

19

9Short Quiz 7.1A-7.1

Begin 7.3 BinomialRadical Expressions

HW: PP 9-10WS 7,3 Binomial RadicalExpressions167.4 RationalExponents Day 1

HW: PP 19WS 7.4 RadicalFunctions and RationalExponents WS 1

23

HW: PP 27-28Spiral Review WS 6

30Quiz 7.5 & 7.8

HW: PP 9Puzzle WS

6Review Test 2

CW/HW: PP 21-24Review

13Cumulative Test Review

20Early Dismissal

********************* assignments subject to change!****ÿ*ÿ**ÿ*ÿ**ÿ**

Namel Date

WS 7.1A Properties of Exponents

Show all work on your own paper

Period

Simplify cad! expression. Use only positive cxponcnls.

Yl, (3a2)(4a(ÿ) 2. (-",q,\'2)(ÿ-2x 2)

4, (2,v-sv4)'ÿ 5, 8ÿ., 2a2

(4"v2)11[3,\'"'ÿ"27, ,, ,.5 8'ÿT)z x)

10, (3,v')yS)' 3 11 (2]'--I,ÿ/ÿtOl) -ÿ, 12],5,

4 .' (12.V2V6)213 rsÿ& I :,l ÿ .... 14, " ............ ' .............

• t' ÿ)t' 4 ), 7

16, 4'v3 ÿ7, (p2)..22.V

3t ,119, r"x ,vY2 6x,---qr2s41.,t 2IL 2 v"

22. (3,v-33,-2)-2 23. (h4/<5)0

3. (4..'01!,5)2

6, 6"v[v53x-I

5), (-"lÿ,tÿ.2)(3,1.)

12, .\"s(2.v) :ÿ

15, (4l, 2 2,ÿq)(l) ,q, )

18, -JSa"ÿ3.v

2J,

24, 'ÿ' 213 ,vr 3r ' f

2t o

, , ,

,

10,

13,

,

11,

14,

, ,

12,.

15,

16, 17, 18,

19, 20, 21,

22 23, 24.

Name Date. Period

WS 7.1 Roots and Radical Expressions

, The time it takes a pendulum to make a full swing in each direction and return to its original position is

called the period of the pendulum, The equation T = 2ÿ relates the length of the pendulum, /, in feet to

its period T, in seconds, How long is a pendulum if its period is 3 seconds? Round your answer to the

nearest tenth,

, You can use the expression o = !,2 Vh to approximate the visibility range, D, in miles from a height of h

feet above the ground,

A, Estimate the visibility from a height of 900 feet,B, How far above the ground is an observer whose visibility range is 84 miles?

3, The formula for the volume of a cone is v = ¼/Tr3, Find the radius to the nearest hundredth of a

centimeter if the volume of the cone is 40 cm3,

Now complete the activity on the back of this page!!l!

3

O

DO

.$

II

..... +': '+ • " ÿ it ' 7

Simplify the following expressions, The answer to each problem ÿ' will match a letter that will allow you to figure out the joke, ÿ:

J

1, ÿ M: 6xÿ C: 3x2yÿ

2. Vÿ+x+yÿ E,, loxvÿ-ÿ N: x*#ÿ

K: 12x3J l#ÿ--y T: 2xyÿ-x

4, fS4;'°yÿ' A: 6xVÿ O: 2xÿÿ

5. 58ÿxÿ

6, tÿx%+

7,

Optional Tough Problem

Simplify: ÿ/ÿ256ÿ

8, 3yÿ

9, x+y

lO,

8 4 6 2 9 5 3 7

Answen

"I 0 4 9 6 2 5

Simplifying radicals

@1l

Name Date

7°2 Multiplying and Dividing Radical Expressions

Multiply, then simplify. Assume all variables are positive.

Period

6. ÿ oÿ/-ÿ

simplify, Assume all variables are positive.

7, .ÿ 3v'-2ÿs 8. ÿ6 9, V2(#F6 + 7)

Divide and simplify. Assume all variables are positive.

10. 3¢ÿ211, ÿ/250x7yS

3 2

Simplify. Rationalize all denominators, Assume all variables are positive,

Is 64E0ÿÿ/S 13, 3ÿ12.ÿ

sÿ 15, 3+14.

16. A rectangular shelf is ÿ cm by ÿ cm. Find its area.

17, A free falling object hit the ground in ÿ seconds. It fell h feet, Use the formula: h = 16tz,

where t is the time in seconds to find h in terms of x,

18, The area of a rectangle is 180xl°yz¢ square units. If the length of the rectangle is 12x4y1° units,

what is the width of the rectangle?

T: -180vÿ

S: 5xWÿ

Cÿ 7ÿq-5

F; 176x%/Sx

E: 12vÿ-5

h 28

R: xlVÿ

T: 7"vÿ

W: 4xVÿ

B: 12X2ÿrÿ

O: 141ÿ

9 6 ÿ 7 8 4 5 2

Multiplying radicals #1 Joke #26

Name. Date Period

WS 7.3 Binomial Radical Expressions

Show all work on your own paper

Add or subtract if possible.

2, 3-,,ÿ- 5-,,,@ 3.7ÿx'2 - 2ÿ-ÿ

Simplify,

4, 14ÿvrÿ- 3 lVri-ÿ 5, V-g-ÿ + gig 6. V3-2. + trÿ

Multiply.

7, (2 + ÿ/-7)(1 + 3-,Q) 8, (ÿ + vg)2 9, (2'/5" + 3"q2)2

Multiply each pair of conjugates,

I0, (4 - 2V2)(4 + 2Vÿ) l l. (ÿ + ÿ)(Vÿ - Vg)

Rationalize each denominator. Simplify the answer.

4 3+#-fi12. -- 13.3ÿ/-3-2 2-2ÿ/-8

Simplify. Rationalize all denominators, Assume that all the variables are positive,

14, vÿ + 27Vd - 5ÿ 15, vÿ - 4vÿ + 2vÿ ÿ6, 3gfg - 4 V-g-ÿ +

17. (2*/g + 3",Q)(5q]- 7ÿ/2) 18. (2 - v-ÿ)(3 + viÿ) ,9, (2vÿ- 3vÿ)(¢vÿ- svÿ)

1, A piece of rope is 3qÿ-ff5 feet long, It is cut into two pieces that have a ratio of 2:3, Find the

lengths of each piece,

£, A rectangular shelf is ÿ cm by q'20 cm, Find the area and the perimeter of the shelf,

3, 4 rectangular walk is 3ÿ/7 m wide and 8ÿiY m long, Find the area and perimeter of the walk,

4, The length of the side of a square room is 7ÿx-6-y8 feet, Express the length in simplest radical

form,

5, The height of a triangle is ÿ feet and its base is Vÿ4ÿ-b 'feet, Write the ratio of the

height to the base is simplest radical form,

lO

I Simplify the foilowNg expressions, The answer to each problem ÿiwill match a letter that will allow you to figure out thejoke,ÿ

2, 6 4vÿ5 + 2vÿ2-0- 9-5

4, ÿ+ÿW+ vÿ

5, 5ÿ + 52¢2-5- 2vWÿ + 55¢ÿ

6, Vÿ + 6ÿ - Vÿ-X

E: 17ÿ

O: lSvÿ

P: 8xÿ/y

A: 7ÿ

T: ÿ41ÿ + 4V7

J: 11yÿ/ÿ

h Sÿ

L: 18vÿ + 4ÿr5

S: ;¢xVÿ

C: 5ÿ/ÿ + 2Vÿ2

W: 15ÿ + 4ÿ/5

8 6 5 5 2 4 2

Answer;

Adÿtlng and subtracting radicals

7 1 6 3

Joke#25

@@@

: @

I

......

,ÿ Simplify the following expressions, The answer 1;o each problem ÿwill match a letter that will allow you to figure out the okeJ , !!

O; lO8 .- 2Vff

M; 12x- 17V'x + 6

N: 50 - 10v'2

6, (6+'ÿ)(5 + ÿ/-2)

7. (Vÿ- ÿVÿ)2

1o, (6<+ ÿ)(ÿ< + ÿ)

h 15 - IOVÿ

C; ÿ12x + 40Vÿ + 7

D: 12x + 5V'x + 7

k,, 15- 472

A;vÿ+ lVÿ

L: 30 + 6Vÿ + 5ÿ/3 + !/6

P: ÿSx + 39ÿ + 16

T: ÿ20V6 + 16ÿ/5

S: 4vÿ + 572

Optional Tough Problem

7 3 1

10 8 9 9 5 3 7 2 4

11 e s 4

Answ#p:

Multiplying radicals/I2Joke #27

tt

4

G

Name.

Simplify.

.

Date

Practice 7,1A-7.3 WS

Assume all variables are positive and write as positive exponents,

3X4(2X)-3 2. 3. ÿ6

Period

7 S+ ÿ 24x-8

5, 5+ ÿ 6, ÿ/ÿ 7, 36x38, ÿ-X - 7)8

12a6b-3c 11, 3 --1ÿ2ÿ9. ÿy9 10, 32a_4bSc0 ÿ -ÿ

12, ÿ5

y413, ÿ21_x2y2 14. SX9(3X2)-3 15.

42a-263c6

48a14b-Sc-216.ÿ

/3

17. S-,/-ÿ+ 6ÿ- 8ÿ- !8. 5ÿ/-ÿ,- 2-V-ÿ 19. (2+ #g)2

20, (2 + ,,/-5")(3 - "qS")3 -2V'7

21, 22, (2#-5+ 3v"-2)2

23. -6ÿ-Y- 4#-ÿ+ 5ÿ1--2 24, (5 + ÿ/-6)(2 - {6")s+v

25,2-Vÿ

328, 29, #ÿ-x - 9)11 '

30,#72x8yio

6y431. 32, ÿs

33. (1 - if5--) (2 + if-5) 34. (1 + 4 1-f1-0-) (2 - 4TO) 35. (1 - 3@--) (4 - 3,,/7)

36. (4. - 2fl3)2 37, (vÿ + ÿ/7)2 38. (2,,/-3 + 3,,/2)2

39. (34Y - ÿ) (24ÿ + sW) 4o, Vÿ + 4V-ÿ - 2vÿ 41.64-4-6 - 2ÿ + 3 175J6

42.4ÿ8--1+ 2ÿ- 3V24 43.3ÿ + 5 1ÿ/-4-ÿx 44.6ÿ4ÿ + 4:4ÿ-oÿ:

3- 4i-d 2+ 4ÿ45, ÿ/-g-x/2 46, .vÿ+VT

Solve the following word problems,

47. The length of the side of a square room is ÿ!98xSy14 cm,

form.

Express the length in simplest radical

48. The time it takes a pendulum to make a full swing in each direction and return to its original position

is called the period of the pendulum. The equation T = 2=/ÿ relates the length of the pendulum, L, in

feet to its period T, in seconds. How long is a pendulum if its period is 6 seconds? Round your answer to

the nearest tenth.

149. The formula for the volume of a cone is V = ;ÿr3. Find the radius to the nearest hundredth of a

centimeter if the volume of the cone is 50 cm3.

50, A rectangular walk is 6V2-0 feet by 2#-ÿ-5 feet, Find the perimeter and the area of the walk,

D

P

I Simplify the following expressions, The answer to each problem ÿwill match a letter that will allow you to figure out the Joke, ÿ,

D

DDDDDDDD,

Dÿ

Dl

I'

}J

I,

I,

1'

4 H', 7 + 4yÿ 0', 5V51'7ÿ

D'0 6 + 3ÿ/24 u,T

L, ÿ--ÿ-ÿ ÿ' 155'W 5

U,, 7ÿrÿ4ÿ

5 A,ÿ,4, ÿ 5 Q: 6 + ÿ/2

5, ÿ M: 4ÿ W: 7- ÿ/5

vTÿ3 ID.ÿ

6, 1+ÿ 5

-1 +W6 N,

7. 2_ÿ/ÿ" 2

2+v'S8, z-VS Optional Tough Problem

1 9 5 , g, 5 2 6 7

Answ@p:

Rationalizing radlcale Joke #28

rIii

Name Date

7.4 Radical Functions and Rational Exponents

iPeriod

Simplify each expression,

11, 27]

1 1 1 12, 10ÿ' 107 3. 3ÿ' 12ÿ

1 14. 3ÿ. 9ÿ

Write each expression in simplest radical form.

1 25, X6 6, X7

9

7. y8 8. X1'5

Write each expression in exponential form,

9. 7bx)3 1o. 11. t/ÿ

Simplify.

2 2

12. 8ÿ 13, 64ÿ6

416, (32)-ÿ 17, 41'5 18, 16l's 19, 10000°'7s

Name. bate

7.4 Radical Functions and Rational Exponents WS 2

Write each expression in simplest form. Assume all variables are positive.

2 -3 2 -1

Period

i3. (-27x-9)ÿ

1

4,7 5, x?y-ÿ -126, / ÿ\12

simplify,

1

7. (-343)ÿ 8. 321'2 9. 643.5

10. (32)=42

11.4

-(-27) 3

simplify each expression,

2 3

13. X7 • Xa4

Assume all variables are positive.

s 314. ;Z7 + Xÿ 15.

1 1xzy 3

3 1X4 22

,ÿ Simplify the following expressions, The answer to each proHem ÿwill match a letter that will allow you to figure out the joke, ÿi:

1

I X4

1

5 ÿ3' 4xÿ ÿ 3X ÿ

7X

6, 47X

I, X:a

tiS: xT£

MI x6

6H: x-s

T; xTÿ

O: ÿ27x1

L: 12x

10, xWÿx

9 6 2 4 10 8 1 7 3 5

Answÿn

Fraction exponents Jokÿ #3C

Algebra II Name

Ch, 7°1ÿ7.4 Review Sheet Date Period

Simplify, Assume all variables are positive. Write answers with positive exponents,

4, ÿ20

31ÿ-8-75x66.

8, 4ÿ24

. 10,

15,

17.

13. 14i-g-ÿ + 2V-2

1216ÿm3

1512ginS

11. 12.

14.

16.

18.

2 1

164ÿx3y2

1164X- 4y7

2 1

19. x-f 20. x3y 41 1

xÿ xZy z

3

21. xÿ-T 22. 9+ÿ

23, Find the area of a rectangle with width 2 1ÿ/-ÿ-cm and length 5ÿ-6 ca.

24, Find the radius of a sphere if the volume is 75m3. Use the formula', V = 4-nr33

25, Mr. Smith has a rectangular garden that he wants to put a fence around, but he needsto find the perimeter of the garden. He knows the length is 5 lvÿ-ÿ feet and thewidth is ÿ feet, Find the perimeter.

Name Date Period

Spiral Review WS 6

Solve the following equations.

1. 3(x-2)- 5=8-2(x-4)3X-6

2, =155

3. lO(x- 4) - 2(7x + 8) = -8(x + 4)

Factor completely.

4. 2X3 -- 8X2 + 3x - 12 5. 5x2 - 22x + 8 6. 4x2 - 36 7. 64x3 - 125

Find the roots.

8. 2X2 -- 24X + 28 = 0 (completing the square) 9. 3X2 + 10X - 8 = 0 (factoring)

10. 3x2 -- 150 = 0 (square roots) 11, 2x2 - 5x = -1 (quadratic formula)

Use f(x) = x2 + 2x - 24 and g(x) = x - 4 to perform the function operations.

12, fCx) + g(x) 13. g(x)- f(x) 14.f(x)g(x)

15. The length of a rectangle is 9 inches less than 4 times its width. Find the dimensions of the

rectangle if the perimeter is 272 inches,

16, A cannon shoots a ball from the ground, Its height h, in feet, above the ground after tseconds is

represented by the following equation: h = 208t - 16t2. How long does it take to reach the maximum

height? What is the maximum height?

Graph the following.

17, y = 2(x-1)2-5

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