Week 1-4 Review

Radical Dude!

100

What is the square root of 25?

5

200

Explain what a perfect square is and how it relates to the the square root.

A perfect square is a number that repeats itself and is multiplied.

3*3 = 9 or 3^2 = 9

The square root tells us what number(s) is repeatedly multiplied twice in the number that us under the square root.

300

The number that represents the square root of 64 is between which two whole numbers?

Square root of 64 is 8, which is between 7 and 9.

400

Simplify the following and list from least to greatest:

sq rt of 16

sq rt of 49

sq rt of 81

sq rt of 4

sq rt of 16 = 4

sq rt of 49 = 7

sq rt of 81 = 9

sq rt of 4 = 2

Ordered: 2, 4, 7, 9

500

Come up with your own example of a perfect square and when the square root of that is taken.

Answers vary.

Commutative/Associative Properties

100

Name which property is being used and solve.

a + b = __ + __

Commutative Property.

a + b = b + a

200

Name which property is being used and solve.

(x + y) + z = x + (__ + __)

Associative Property.

(x + y) + z = x + (y + z)

300

Explain the difference(s) between the commutative and associative properties.  

Answers may vary.

400

Which property does this represent and why is your answer equal to 1?

3x/x3

Commutative property allows you to rearrange the variables and numbers when being multiplied.

Distributive Property

100

3(2x + 1)

6x + 3

200

4(2x + 3y)

8x + 12y

300

5x(2x + 3y - 3)

10x² + 15xy - 15x

400

6x²(2x - 6y - 1)

12x³ - 36x²y - 6x²

500

-4x²y(2xy - 4x + 3y)

-8x³y² + 16x²y - 12x²y²

Combining Like Terms

100

6x - 2x

4x

200

7y + 4y - 1

11y - 1

300

10x - 6y + 3y - 5x + xy

5x - 3y + xy

400

8x – 2y + 3x – 8y + x – 1

12x - 10y - 1

500

3m²n – 2mn + m²n + 7mn² – mn²

4m²n + 6mn² - 2mn

Order of Operations

100

4 x 2 + 6 - 4 = ?

10

200

7 + 3² - 4(2 - 1)

12

300

-4² - 3 + 5(3-1)

-9

400

5 + 4² - 3(1 + 2 x 3)

0

500

(-4² ) - 3 + 7(2 x 4 - 1) 

62