Algebra 2 Review Jeopardy!

Combine Like Terms

100

What does a term consist of/look like?

What is a coefficient/number and a variable

200

(x⁵ - x³ + x - 2) + (2x⁵ + x³ - x² - x + 3)

What is 3x⁵ - x² +1

300

(-5x² + x - 23) - (5x² + x - 32)

What is -10x² + 9

400

(4x⁴ - 3x³ + 2x² - x + 9) - (4x⁴ + 3x³ - 2x² - x + 9)

What is -6x³ + 4x²

500

(x+1)² - (x² + 2x + 1)

What is 0

FOIL

100

(x + 3) (x - 2)

What is x² + x - 6

200

(x - 4) (x - 4)

What is x² - 8x + 16

300

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

What is 8x² - 12x + 4

400

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

What is -10x² + 21x - 9

500

(3x - 5)²

What is 9x² - 30x + 25

Solve for X

100

Solve for x: x - 59 = 10

What is x = 69

200

Solve for x: 6x - 2 = 10

What is x = 2

300

Solve for x: 3x + 2 = x - 6

What is x = -4

400

Solve for x: 8x + 6 = 7x + 10

What is x = 4

500

Solve for x: x³ - 5 = 120

What is x = 5

Dividing Polynomials

100

(x³ - x² + x - 1) / (x - 1)

What is x² + 1

200

(4x³ + 6x² - 2x - 1) / (2x - 1)

What is 2x²+ 4x + 1

300

(x⁵ + 10x⁴ - 3x³ + 5x² - 7x)/ x

What is x⁴ + 10x³ - 3x² + 5x - 7

400

(x³ - 2x + 4) / (x + 2) 

What is x² - 2x + 2

500

(2x⁵ - 2) / (x - 2)

What is 2x⁴ + 4x³ + 8x² + 16x + 32 - (64/(x-2))

Explicit/Recursive Formula

100

What is the first term of this Explicit Sequence? tn = 2n + 3

5

200

What are the first four terms of this Explicit Sequence? tn = 4n + 1

5, 9, 13, 17

300

What is the difference between the Explicit Formula and the Recursive formula?

Explicit: substitute in the number of each term (1 for 1, 2 for 2, etc) Recursive: substitute in the term before

400

What is the second term of this Recursive Sequence? t1 = 2 tn = tn-1 + 2

4

500

What are the first four terms of this Recursive Sequence? t1 = 0 tn = tn-1 - 4

0, -4, -8, -12