Perfect Squares and Cubes
Expressions and Equations
Estimating Square Roots and Cube Roots
Application: measure and calculate
Decimal/Fracti
on conversion and Unit 4 Review
100

What is the square root of 81?

+/- 9

100

What is "50 minus the square root of 121" ?

39

100

Estimate the square root of 52

in between square roots of 49 and 64 which is 7 and 8. 52 is 3 away from 49 and 8 from 64 meaning it is closer to 7 the answer must be less than 7.5


 7.2 or 7.3

100

What is the side length of a square with a perimeter of 36ft?

9ft 

100

Convert 5/9 to a decimal 

0.5 repeating 

200

What is 33?

27

200

What is "6 - 2 (square root of 64)"

-10

200

Estimate the square root of 31

31 is in between the perfect square roots of 25 and 36 which is 5 and 6. 31 is 6 away from 25 and 5 away from 36 which makes it closer to 6. 


5.6 or 5.7

200

What is the area of a square with the side lengths of 9 in.?

A= s2

81 in2

200

Write and label each part of the slope-intercept formula

y=mx+b

y is the y value

m is the slope

x is the x value

b is the y-intercept (when x=0)


300

What is the square root of -144?

No real solution, you cannot square root a negative number

300

What does x equal? 

"x2 + 12 = 61"

x= +/- 7

300

Estimate the cube root of 21

The cube root of 21 is in between the perfect cube roots of 8 and 27 which is 2 and 3. 21 is 13 away from 8 and 6 away from 27. This means that the estimation is going to be closer to 3. 


 2.7 and 2.8

300

What is the volume of a cube with the side length of 7cm?

V=s3

343 cm3

300

What does 0.57 repeating convert to in fraction form 

57/99 => 19/33

400

What is the cube root of -8/27 ?

-2/3

400

What does x equal? 

"-3x3 = 24"

x= -2

400

Estimate the cube root of -121

121 is in between the perfect cube roots of 64 and 125 which is 4 and 5. 64 is 57 away from 121 and 4 away from 125. This means the estimation is closer to 5. 

Don't forget the negative!

-4.8 or -4.9

400

What is the side length of a cube with the volume of 1000 cubic meters?

V=s3

10 meters

400

Convert 0.272727... to a fraction

27/99 => 3/11

500

If you were to estimate the square root of 72, which two perfect squares would this number be between?

82 = 64

92 = 81


500

What does x equal? 

"-4x2 - 9 = 7 "

No real solution, you can not square root a negative number

500

Estimate: 

5 (square root of 92)

92 is in between the perfect square roots of 81 and 100 which is 9 and 10. 92 is 11 away from 81 and 8 away from 100 making it closer to 10. This estimation is 9.6 or 9.7 

9.6(5)= 48

9.7(5)= 48.5



500

what is the side length of a cube with the surface area of 54 squared in?

SA=6 (s2)

3 in

500

What is the slope with these values?

(2,4)

(8,5)

m= 1/6