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ALL THINGS ALGEBRACreated by:math lib activity
SIMPLIFYING RADICALS
(ALL OPERATIONS)
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!)
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
:: :: :: :: 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
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
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
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
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
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
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
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
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
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
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
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
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