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ALL THINGS ALGEBRA Created by: math lib activity SIMPLIFYING RADICALS (ALL OPERATIONS)

SIMPLIFYING RADICALS€¦ · Objective: To practice simplifying, adding, subtracting, multiplying, and dividing radical expressions with higher indexes. This includes square roots,

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Page 1: SIMPLIFYING RADICALS€¦ · Objective: To practice simplifying, adding, subtracting, multiplying, and dividing radical expressions with higher indexes. This includes square roots,

ALL THINGS ALGEBRACreated by:math lib activity

SIMPLIFYING RADICALS

(ALL OPERATIONS)

Page 2: SIMPLIFYING RADICALS€¦ · Objective: To practice simplifying, adding, subtracting, multiplying, and dividing radical expressions with higher indexes. This includes square roots,

SIMPLIFYING RADICALS MATH LIB!(includes higher indexes)

Objective: To practice simplifying, adding, subtracting, multiplying, and dividing radical expressions with higher indexes. This includes square roots, cube roots, and fourth roots. Variables are included. Division problems require rationalizing the denominator, which includes multiplying by the conjugate. This activity was created for an Algebra 2 level class.

Activity Directions: Print and post the ten stations around the room. Give each student the worksheet to record their work as they travel to the stations. Group students (I typically do groups of 3) and assign to a starting problem. Set the timer for 3-4 minutes (more if needed). Students solve the problem at the station, recording their work on their recording worksheet. They look for their answer and record the piece to the story on the math lib. When the timer goes off, they move to the next station.

You are able to edit each slide to change the teacher name and all story elements to personalize for your students. PowerPoint is required to edit the slides. They enjoy seeing which one of their teachers is the “star” of the story!

© Gina Wilson (All Things Algebra), 2016

10 Stations & Student Worksheet(All story elements are editable!)

Page 3: SIMPLIFYING RADICALS€¦ · Objective: To practice simplifying, adding, subtracting, multiplying, and dividing radical expressions with higher indexes. This includes square roots,

Directions: Solve the problem at each station. Identify the answer

and fill in the blanks on the back to complete the story.

Simplifying Radical ExpressionsSimplifying Radical ExpressionsSimplifying Radical ExpressionsSimplifying Radical Expressions “MATH LIB”!

1 2

3 4

5 6

Gina Wilson (All Things Algebra), 2016

Page 4: SIMPLIFYING RADICALS€¦ · Objective: To practice simplifying, adding, subtracting, multiplying, and dividing radical expressions with higher indexes. This includes square roots,

:: :: :: :: WRITE WRITE WRITE WRITE YOURYOURYOURYOUR MATH LIB BELOW!MATH LIB BELOW!MATH LIB BELOW!MATH LIB BELOW! ::::::::

(1)(1)(1)(1) __________________________________ was (2)(2)(2)(2) ____________________________

to be (3) (3) (3) (3) _____________________________________________ with

(4(4(4(4)))) ___________________________________ last (5(5(5(5)))) ___________________________________

at the (6(6(6(6 )))) ____________________________ on a (7(7(7(7 )))) _____________________________ while

wearing (8(8(8(8 )))) ____________________________ and (9(9(9(9 ))))_______________________________

because (10(10(10(10)))) ____________________________________________!

7 8

9 10

Gina Wilson (All Things Algebra), 2016

Page 5: SIMPLIFYING RADICALS€¦ · Objective: To practice simplifying, adding, subtracting, multiplying, and dividing radical expressions with higher indexes. This includes square roots,

1 Simplify the radical expression below:

3 5192m m

32 24 3m m

34 28 3m m

34 24 3m m

32 28 3m m

© Gina Wilson (All Things Algebra), 2016

A)

B)

C)

D)

E)

Ms. Johnson

Mrs. Tumele

Mrs. Halterman

Mrs. Wyant

Mrs. Duthie

34 22 24m m

Page 6: SIMPLIFYING RADICALS€¦ · Objective: To practice simplifying, adding, subtracting, multiplying, and dividing radical expressions with higher indexes. This includes square roots,

2 Simplify the radical expression below:

16 742 405x y

4 346 5x y y© Gina Wilson (All Things Algebra), 2016

A)

B)

C)

D)

E)

excited

elated

nervous

thrilled

terrified

4 3418 5x y y

4 3 418 5x y y

4 3 46 5x y y

12 7418 5x y

Page 7: SIMPLIFYING RADICALS€¦ · Objective: To practice simplifying, adding, subtracting, multiplying, and dividing radical expressions with higher indexes. This includes square roots,

3 Simplify the radical expression below:

380cd c

2 32 10c d

32 10cd c

© Gina Wilson (All Things Algebra), 2016

A)

B)

C)

D)

E)

watching Star Wars

hula hooping

skydiving

driving bumper cars

doing yoga

2 34 5c d

34 5cd c

2 38 10c d

Page 8: SIMPLIFYING RADICALS€¦ · Objective: To practice simplifying, adding, subtracting, multiplying, and dividing radical expressions with higher indexes. This includes square roots,

4 Simplify the radical expression below:

35 6k k

2 35 6k k

323 6k k

3 4 33 162 7 48k k k

2 323 6k k

© Gina Wilson (All Things Algebra), 2016

A)

B)

C)

D)

E)

Jimmy Fallon

Meghan Trainor

Joe Dirt

SpongeBob

Cam NewtonCan’t be simplified

Page 9: SIMPLIFYING RADICALS€¦ · Objective: To practice simplifying, adding, subtracting, multiplying, and dividing radical expressions with higher indexes. This includes square roots,

5

3 430 6 4 6

3 413 6 4 6

3 4 32 6 4 6 15 6

3 417 6 4 6

© Gina Wilson (All Things Algebra), 2016

Simplify the radical expression below:3 4 32 6 2 96 3 750

A)

B)

C)

D)

E)

New Years Eve

Halloween

Thanksgiving

Spring Break

Presidents’ Day

39 6

Page 10: SIMPLIFYING RADICALS€¦ · Objective: To practice simplifying, adding, subtracting, multiplying, and dividing radical expressions with higher indexes. This includes square roots,

6 Simplify the radical expression below:

3335 14 4 4p p

380 7p p

340 7p p

340 7p p

380 7p

340 7p

© Gina Wilson (All Things Algebra), 2016

A)

B)

C)

D)

E)

zoo

Canadian border

movie theater

Walmart parking lot

airport

Page 11: SIMPLIFYING RADICALS€¦ · Objective: To practice simplifying, adding, subtracting, multiplying, and dividing radical expressions with higher indexes. This includes square roots,

7 Simplify the radical expression below:

3 2 15 6v v

18 5 6 3v v

6 5 3 2v v

9 5 3 2v v

6 5 6 3v v

26 5 3 2v v

© Gina Wilson (All Things Algebra), 2016

A)

B)

C)

D)

E)

stage

toboggan

picnic table

fishing pier

bunk bed

Page 12: SIMPLIFYING RADICALS€¦ · Objective: To practice simplifying, adding, subtracting, multiplying, and dividing radical expressions with higher indexes. This includes square roots,

8 Simplify the radical expression below:

4 5 1 3 2 5

10 5

27 10 5

37 5 5

37 10 5

27 5 5

© Gina Wilson (All Things Algebra), 2016

A)

B)

C)

D)

E)

slippers

bath robes

clown shoes

leather jackets

roller skates

Page 13: SIMPLIFYING RADICALS€¦ · Objective: To practice simplifying, adding, subtracting, multiplying, and dividing radical expressions with higher indexes. This includes square roots,

A) B)

C) D)

E) F)

9 Simplify the radical expression below:

33 12

75

x

x

6

5

x5

5

x

12

5

x

2

5

x 6

5

x

5

6

x

© Gina Wilson (All Things Algebra), 2016

studying juggling

playing the harp eating junk food

taking selfies dribbling a ball

Page 14: SIMPLIFYING RADICALS€¦ · Objective: To practice simplifying, adding, subtracting, multiplying, and dividing radical expressions with higher indexes. This includes square roots,

10 Simplify the radical expression below:

3 2

4 3

6 3 11

13

© Gina Wilson (All Things Algebra), 2016

A)

B)

C)

D)

they were bored

they had a snow day

it was her birthday

it was the cool thing to do

2 3 17

13

6 3 11

7

2 3 17

7

Page 15: SIMPLIFYING RADICALS€¦ · Objective: To practice simplifying, adding, subtracting, multiplying, and dividing radical expressions with higher indexes. This includes square roots,

1)

2)

3)

4)

5)

6)

7)

8)

9)

10)

(C – Mrs. Halterman)

(E – terrified)

(E – doing yoga)

(A – Jimmy Fallon)

(D – Spring Break)

(A – zoo)

(C – picnic table)

(E – roller skates)

(B – juggling)

(C – it was her birthday)© Gina Wilson (All Things Algebra), 2016

Answer Key:

32 10cd c

35 6k k

3 413 6 4 6

340 7p p

6 5 3 2v v

37 10 5

6

5

x

6 3 11

13

4 346 5x y y

32 24 3m m

Page 16: SIMPLIFYING RADICALS€¦ · Objective: To practice simplifying, adding, subtracting, multiplying, and dividing radical expressions with higher indexes. This includes square roots,

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