Algebra 2 Final Jeopardy

Polynomials

100

(3a)²(7b)⁴ simplifies to this expression.

What is 21609a²b⁴?

200

(7x-2)(2x+5) can be expanded to this polynomial by using FOIL.

14x² +31x - 10

300

The factored form of x² +2x +1 is this.

(x+1)(x+1) or (x+1)^2

400

Another word for rewriting an expression without parentheses or negative exponents.

What is simplify?

500

(q²r⁴)/(q⁷r³) simplifies to this

r/(q⁵)

Rational Functions

100

The domain of f(x)=2^x

What is all real numbers.

200

[(r²+rt)/2r] ÷ [(r+t)/16r²] simplifies to this.

What is 8r².

300

If y varies inversely as x and y = 18 when x = -1/2, then when y=-10 x is equal to this

What is 9/10?

400

If m varies directly as n and m = 24 when n = 03, then when m=30, n is equal to this.

What is -15/4.

500

The function f(x)= [(x+5)/(x²-2x-35)] has vertical asymptote at x= this and a hole at at x= this.

What is asymptote at x=7, and hole at x= -5?

Exponential and Logarithmic Functions

100

An equation that models the decline in the number of U.S. farms is y= 3,962,520(0.98)^x, where x is the number of years since 1960 and y is the number of farms. That equation is an example of this exponential relationship.

What is decay.

200

An equation that models the decline in the number of U.S. farms is y= 3,962,520(0.98)^x, where x is the number of years since 1960 and y is the number of farms. In 1960, there were these many U.S. farms.

What is 3,962,520.

300

An equation that models the decline in the number of U.S. farms is y= 3,962,520(0.98)^x, where x is the number of years since 1960 and y is the number of farms. Using this model, we expect that there were this many U.S. farms in 2020.

What is 1,179,060 farms.

400

The log₃81 is equal to this.

What is 4.

500

This type of function is the inverse of its exponential counterpart.

What is a logarithmic function.