Unit 9 Jeopardy

Polynomials (+ and -)

100

Simplify: (x² + 7x - 15) + (x² - 7x - 10) 

2x² - 25

200

Simplify: (y² - 9) - 2(y² + 3x - 1)

-y² - 6x - 7

300

Simplify: If (7x² - 8) is subtracted from (15x² - 5), what is the result?

8x² +3 

400

If 6 - 3x² - 7x³ is less than 6x³ - 8x + 4, what is the result? Write your answer in standard form. 

13x³+3x²-8x-2

500

Find the missing term: (4k + __) - (2k +3) = 2k +5

8

Polynomials (x and /)

100

Simplify: (7x+5)(3x-2)

21x²+x-10

200

Simplify:

(7x^9y^5)/(28x^2y^3)

1/4x^7y^2

300

Simplify: (2x+4)²

4x²+16x+16

400

Simplify:

(6x^4y^5)/(8x^6y4)

 

(3y)/(4x^2)

500

Simplify: 3(x²- 2)² - (3x² - 7x +1)

3x⁴-3x²-5x+13

GCF

100

What is the GCF of 24xy and 30xy?

6xy

200

What is the GCF of 7ab² and 49bc²?

7b

300

What is the GCF of 56m³n⁴p² and 28mn³p⁵?

28mn³p²

400

What is the GCF of 24x²y⁴z³, 56x³y³z², and 64x⁴y²z²?

8x²y²z²

500

Find the GCF of 7xy²z³-27x⁴y⁵z⁶+54x⁴y³z²

xy²z²

GCF Factoring

100

Factor: 36x⁴ – 42x²

6x²(6x²-7)

200

Factor: 18x⁴y5 + 36x³y⁷

18x³y⁵ (x+2y²)

300

Factor: : 24x²+34xy+12y

2(12x²+17xy+6y)

400

Factor:15x³y² – 20x²y³ + 12x⁴y

x²y(15xy-20y²+12x²)

500

Factor: 6x⁵y – 15x⁴y² – 21x³z + 27x²p

3x²(2x³y-5x²y²-7xz+27p)

Past Topics - Regents

100

Solve the inequality below to determine and state the smallest possible value for x in the solution set. 3(x + 3) ≤ 5x − 3

6

200

On the main floor of the Kodak Hall at the Eastman Theater, the number of seats per row increases at a constant rate. Steven counts 31 seats in row 3 and 37 seats in row 6. How many seats are there in row 20?

65

300

Using the formula for the volume of a cone, express r in terms of V, h, and π .

On paper

400

A car was purchased for $25,000. Research shows that the car has an average yearly depreciation rate of 18.5%. Create a function that will determine the value, V(t), of the car t years after purchase. Determine, to the nearest cent, how much the car will depreciate from year 3 to year 4.

$2503.71

500

Two friends went to a restaurant and ordered one plain pizza and two sodas. Their bill totaled $15.95. Later that day, five friends went to the same restaurant. They ordered three plain pizzas and each person had one soda. Their bill totaled $45.90. Write and solve a system of equations to determine the price of one plain pizza.

soda: $1.95

pizza: $12.05