Final Math Club Jeopardy!!

Polynomials

100

Find the product of

 (x-3) (x+3)

What is x²-9?

200

Rewrite the polynmial 7-9x²+3x in standard form and state the degree.

What is 

A=-9x²+3x+7 D=2?

300

Solve (x+2)²

What is x²+4x+4?

400

Find the product of 

2x-4 and x+5

What is 2x²+6x-20?

500

Find the expansion of the binomial (3x+2)³

What is 27x³+54x²+36x+8?

Factoring

100

Factor the expression 

3-12x²

What is 

A=3(1+2x)(1-2x)?

200

Find the factors of x²+4x+4

What is (x+2)(x+2)?

300

Factor by Grouping: x³-2x²-3x+6

What is (x-2)(x²-3)?

400

Factor this expression: 

(a+3b)³ + (4a−b)³

What is 

13[5a+2b][a²−ab+b²] 

500

Factor,

3x² - x²y +6x²y - 2xy² + 3xy² - y³

(3x - y)(x + y)²

Linear Inequalities

100

Solve the Inequalities 2x<4+(3/2)

What is x<2.75?

200

A 225-pound man begins an exercise and diet program that is designed to reduce his weight by at least 2 pounds per week. Find the maximum number of weeks before the man's weight will reach his goal of 192 pounds.

What is 16.5 is greater than or equal to x?

300

The cost of renting a midsize car from Colby Chase Rentals is $279 per week with no extra charge for mileage. The cost of renting a smiliar car from Jessica Sales is $199 per week, plus 32 cents for each mile driven. How many miles must you drive in a week to make the rental fee for Jessica Sales greater than that for Colby Chase Rentals?

What is more than 250 miles?

400

You accept a new job starting salary 28,800. You are told that you will receive an annual raise of at least 1,500. What is the maximum number of years you must work before you're annual salary will be 40,000.

What is x=8?

500

Solve the inequality 

(x+2)(x-7)/(x+3)²≥0

(-∞, -3)∪(-3, -2)∪(7, ∞)

Functions

100

A student says that the domain of F(x)=(√x+1)/(x-3) is all whole numbers except x=3. is this student correct?

What is YES

200

you are working with a cylindrical beaker in a chemistry lab exp, the height of the beaker is 4 times the radius. Write the volume of the beaker as a function of the radius.

Hint: V = πr²h

What is (4)π r³

300

the height, y (in feet) of a baseball thrown by a child is given by the function y=1/(10x²+3x+6), where x is the horizontal distance from where the ball was thrown. Will the ball fly over the head of another child 30 feet away trying to catch the ball considering the child holds his glove up to a height of 5 feet.

What is yes: (y(30))=6

400

f(x) = ln(4-2x) , x∈R , x < 2 .

Write an expression for f ^-1(x)

f^-1(x)= 2-0.5e^x

500

Given that:

f(x)= x/(x+1)

g(x)= 1/(x-2)

What is (f○g)(x)?

What is 1/(x-1)

Exponents

100

the land area of the earth is 57,300,000 square miles, put this number in scientific notation

What is 5.73x10⁷

200

what is 4² raised by the 1/2 power?

What is 4

300

what is the value when [(1/4)^-2]² 

What is 256

400

Evaluate the expression without using a calculator, (1.2x10^7)(5x10^-³)

What is 6.0x10⁴

500

 5+4∗5+4∗5²+4∗5³+4∗5⁴+4∗5⁵

What is 5⁶