Perfect Squares
Imperfect Squares
Exponents
Come on Ms. Segal, give me something challenging!
100

List the perfect squares for 42, 32, 92, and 102

8, 9, 81, and 100

100

Which of the following is NOT an imperfect square?

a) √35

b) √41

c) √8

d) √121

d) √121

100

A students says that  28693= 0. Explain why the student is incorrect and what the correct answer is

1

100

A park designer wants a square playground with an area of 100 m². What is the length of each side?

√100=10 m

200

The difference between 62 and 52 is ___?

11

200

Estimate √79 to the nearest whole number

9

200

Simplify: 82 + 51 + 116

70

200

Eylam wants to fence in his square backyard. He measures his backyard to be 875 square feet. Fencing is sold by the foot, how many feet of fencing will Eylam need?

*you can use a calculator 

√875 = 29.6

Perimeter= sx4

              = (29.6)(4)

              = 118.32

Therefore, Eylam would need 118.32 of fence 

300

Simplify: √64 x √9

24

300

What is √134

11.5 OR 11.6

300

Which is greater: 43 or 82

4x4x4 = 64

8x8=64

Therefore, they are equal

300

If 22 is 4, 23 is 8, and 25 is 32. What is a3 x a4 ?

 22 = 4 AND  23 = 8 

That means 22+2= 25 = 32

Therefore, a3 + a= 3+4 = a7

400

If n2=49, solve for (n+1)2?

64

400

Which is smaller: √50 or 7?

√50 is about 7.1

Therefore, 7 is smaller 

400

Solve the following: 

(23 x 42) / 81


/ = divided by

16

400

I'm thinking of a number. When I take one less than three times this number, and then square the result, I end up with the number 25. What whole number number could I be thinking of?

2


500

If (√x)−3= 9, what is x?

144

500

If (√x)≈4.1, between which two perfect squares does x lie?

Between 16 and 25

500

Simplify ((23)2)0

1

:)

500

I'm thinking of a positive number. When I take the difference of this number and 8, and then square the result, I end up with the number 1. What number(s) could I be thinking of?

There are two positive solutions:   7  or  9

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