Team Jeopardy

Distributive Property

100

Define Distributive Property

-to share 

-when we multiply a number by a group of numbers added together, it is the SAME as doing each multiplication separately

-a(b+c)

200

Using the Distributive Property to simplify the following expression:

3 (15 + 4 +2)

3(15) + 3(4) + 3(2)

=45+12+6

=63

300

Using the Distributive Property to simplify the following expression:

12t (6 + 2 - 3)

12t(6) + 12t(2) + 12t(-3)

=72t + 24t - 36t

=60t

400

Which property does the following expression display?

      3x +(14y + 2) = (3x+14y) + 2

Associative Property of Addition

500

Find the error in the following example of Distributive Property:

13x(2 + x + 3)

=26 +13x^2 +39x

13x x 2 does not equal 26...it equals 26x

Commutative & Associative Properties

100

Define Commutative Property

To move

To swap numbers around and still get the same answer when you add or when you multiply

200

Using the Commutative Property, simplify the following expression:

3xy + 4x²

4x²+ 3xy

300

Is the Commutative Property used for the operations of division and subtraction?

No; it is not 

**BONUS: Explain why we cannot use this Property for the operations of division and subtraction

400

Use the Associative Property to rewrite this expression:

(4x * 3y) * 5

4x * (3y * 5)

500

Find the error in the following expression of Associative Property:

(13-12) - 9 = 13 - (12-9)

                  = 13-3

                  = 10

You CANNOT use the Associative Property with the operations of subtraction and division.

Polynomials (Adding/Subtracting)

100

Define polynomial

Means many terms 

200

How many terms are in the following expression?

4xy² + 5x³ + 8y⁴ + 7x

There are 4 terms

**BONUS POINTS: Name the four terms

300

Which of the following are like terms?

A. 4x²

B. 3x

C. 5x2

D. -6x²

E. 4

F. -6x³

G. 7

A, C, D & E,G

*BONUS: Tell me what E & G are

400

Add the following polynomials together:

(12y² + 17y - 4) + (9y² - 13y + 3)

21y²+ 4y -  1

500

Match the type of polynomial in the left column with the corresponding example in the right column.

1. Binomial                A. 18b²  +5xy²+2x² + 6

2. Monomial               B. 2x + 7 

3. Trinomial               C. 3y²  +6xy²+ 8x

4. Polynomial              D. 4

1. B

2. D

3. C

4. A

Vocabulary

100

What is a binomial?

=Two terms 

*BONUS: Give me an example

200

Which of the following are examples of constant?

A. 4x

B. 2

C. -62y

D. 5

E. -10

F. 3y2

B, D, and E

300

FREE BOX!!!!!!

Every member of your team share with the class: your favorite song

Automatic points if every member shares a favorite song

400

What is a coefficient?

The NUMBER in front of the variable

500

Name 3 different words that start with the prefix "bi-"

Ex:

Bicycle

Team that shares three answers will get points

All Bets Off

100

FREE BOX!!!!!

Every member of the team share one goal you have set for yourself this summer.

Automatic points if EVERY member on the team shares a response.

200

Simplify the following:

1. 13³ * 13⁵

13⁸

300

FREE BOX!!! 

I'm thinking of a number between one and 10. If your team gets it right, automatic points.

AUTOMATIC POINTS FOR CORRECT ANSWER

400

Simplify the following:

(10³x)²

10⁶x²⁼ 1,000,000x²

500

Multiply the following polynomial: 

3x²(4x² – 5x + 7)

=12x⁴ -15x³ + 21x²