Field Trip Day Jeopardy Review

GCF

100

There is a way to express 4x+8 by factoring out the GCF

What is

4(x+2)

200

There is a way to express the following by factoring out the GCF

12x+9

What is 

3(4x+3)

300

There is a way to express the following by factoring out the GCF

4x^3+14x^2

What is

2x^2(2x+7)

400

There is a way to express the following by first factoring out the GCF

10x^2+15x+25

What is

5(2x^2+3x+5)

500

There is a way to factor the following by first factoring out the GCF.

6x^3+6x^2-252x

Answer should be a product of linear monomials and binomials. 

What is

Factoring

100

There is an equivalent expression for the following that is a product of two binomials

x^2+7x+12

What is

(x+3)(x+4)

200

There is an equivalent expression for the following that is a product of two binomials

x^2-x-6

What is

(x-3)(x+2)

300

There is an equivalent expression for the following that is a product of two binomials and a monomial

2x^3-18x^2+40x

What is

2x(x-5)(x-4)

400

There is an equivalent expression for the following that is a product of two binomials

*hint: use substitution

9x^2+12x-21

What is

500

There is an equivalent expression for the following that is a product of three binomials

x^3 + 3 x^2 - 4 x - 12

What is

(x - 2) (x + 2) (x + 3)

Multiplying Polynomials

100

There is an expanded form of 

(x+3)(x+4)

What is

x^2+7x+12

200

There is an expanded form of

(2x-4)(2x+4)

What is

4x^2-16

300

Find the product of

5x^2(x^2+3x-8)

What is

5x^4+15x^3-40x^2

400

Find the expanded form of

(2x+1)(x^2-3x+4)

What is 

2x^3-5x^2+5x+4

500

There is an expanded form of

(x^2+2x+4)^2

What is 

x^4+4x^3+12x^2+16x+16

Rational Equations

100

There is a solution for the equation

12/(x+1)=3

What is 3?

200

There is a solution to 

30/(x-7)=6

What is 12?

300

There is a solution to 

(3x)/(x+5)=2

What is 10?

400

There is a solution to 

(7x)/(x-6)=5

What is -15?

500

There are two solutions to the equation

(24)/(3x)=2x

What are -2 and 2?

Difference of Squares

100

There is an equivalent expression for the following that is a product of two binomials

x^2-25

What is 

(x-5)(x+5)

200

There is an equivalent expression for the following that is a product of two binomials

x^2-64

What is

(x-8)(x+8)

300

There is an equivalent expression for the following that is a product of two binomials

9x^2-25

What is

(3x-5)(3x+5)

400

There is an equivalent expression for the following that is a product of three binomials

x^4-16

What is

(x^2+4)(x-2)(x+2)

500

There is an equivalent expression for the following that is a product of two binomials

16x^4-81

What is

(4x^2+9)(2x-3)(2x+3)