Unit 3 Jeopardy

Variables & Expression

100

Write a mathematical expression for: 

5 less than twice a number x

2x - 5

200

Write an English phrase for the following expression:

yx + 9

Answers may vary.

The sum of 9 and the product of x and y.

9 more than the product of x and y.

The product of x and y increased by 9.

300

Write a mathematical expression for 

8 more than the quotient of 5 and x

5/x + 8

400

Write an expression using only one variable and define your variable: 

There are two types of balls in the PE bin.  There are three more basketballs as there are soccer balls.  Write an expression for the total number of balls in the bin.  

x = number of soccer balls

 x  +  x + 3 

or 

2x + 3

500

Write an expression using only one variable and define your variable: 

There are three types of candy in a bowl.  There are twice as many Twix as there are Kit Kats.  There are 7 more Hersey's than Twix.  Write an expression for the total number of pieces of candy in the bowl.

x = Number of Kit Kats

x + 2x + 2x +7

of 

5x + 7

Polynomials

100

Identify each for the polynomial: 4 + 5x - 7x³

a) Degree of the polynomial

b) Leading Term

c) Leading Coefficient

d) Type

a) Degree of the polynomial : 3

b) Leading Term : -7x³

c) Leading Coefficient : -7

d) Type: Trinomial

200

Identify each for the polynomial: 5x² - 3

a) Type

b) Constant

c) List all terms

a) Type: binomial

b) Constant: -3

c) List all terms: 5x², -3

300

Perform the following operations:

(3x² - 5x + 6) - 2(x³ + 5x - 4)

-2x³ + 3x² - 15x +14

400

Perform the following operation.

(x + 5) (3x² + 4x - 2)

3x³ + 19x² +18x - 10

500

Perform the following operation.

(2x - 3)²

4x² - 12x + 9

Factoring

100

Factor the following expression: 

-15y⁷ - 40y⁶

-5y⁶ (3y + 8)

200

Factor the following expression:

2y³ - 6y² - 7y + 21

(2y² - 7) (y - 3)

300

Factor the expression:

x² + 6x - 55

(x + 11) (x - 5)

400

Factor the expression: 

4a²b - 25b

b (2a + 5) (2a - 5)

500

Factor the expression: 

8x³ - 27

(2x - 3) (4x² + 6x + 9)

Polynomials Again!

100

State whether the following is a polynomial

3x^-2 + 5x - 7

No since it has a negative exponent

200

State if the following is a polynomial

5x² - 6x³ + 8x

Yes!

300

Perform the following operation. 

(3x² + 5x - 7) - (2x³ + 6x - 2)

-2x³ + 3x² - x - 5

400

Perform the operation

(3a²b³)(8ab²)

24a³b⁵

500

Perform the Operation

(3x + 4)²

9x² + 24x + 16

More Factoring

100

Factor

5y² - 45 

 5(y+3)(y-3)

200

Factor

x² - 5x + 4 

(x-1)(x-4)

300

Factor

3y³ - 12y² + 5y - 20

(y - 4)(3y² + 5)

400

Factor 

4x²y³ + 14x³y - 6x⁴y²

2x²y (2y² + 7x - 3x²y)

500

Factor

3x² + x - 10

(3x - 5)(x + 2)