Algebra 2 Holiday Review

Quadratics

100

Factor: 

b²+8b+7

(b+1)(b+7)

200

Solve for p: p²+3p-18=0

(p-3)(p+6)

p=3, p=-6

300

Factor: 16n²-9

(4n+3)(4n-3)

400

5x²-18x+9

(5x-3)(x-3)

500

Solve the quadratic equation: 

x²+2x+2=0

*Hint: Use quadratic formula

x=-1+i, -1-i

Polynomials

100

ADD: 

(2x³+3x²+4)+(6x³-x²-5x)

8x³+2x²-5x+4

200

(5x+x⁴)-(3x⁴+4x)

-2x⁴+x

300

Multiply

-4xy(5x²-9xy-y²)

-20x³y+36x²y²+4xy³

400

Use synthetic division to divide

x⁴ -25x²+144   divided by x-4

x³+4x²-9x-36

500

Divide:

-x⁴+7x³+x²-2x-12  divided by x-3

-x³+4x²+13x+37+ 99/(x-3)

Simplify

100

5(x – y) + 2x + 5y

7x

200

(x²)⁰

1

300

7(1+9v)-8(-5v-6)

55+103v

400

(4a³)²

16a⁶

500

(n³)³ * 2n^-1

2n⁸

Winter

100

What is the number of players in an ice hockey team?

6 on each side

200

What is the name of the Winter Olympic sport that involves participants sliding rocks towards a target?

Curling

300

Which country has won the most Winter Olympic medals to date?

Norway

400

During Seattle's Snow Day on 12 January 2013, 5,834 people took part in what? This was a record-breaking world event.

The world's largest snowball fight.

500

In which winter sport are the terms “stale fish” and “mule kick” used?

Snowboarding

Math Facts

100

What is the only number that has the same number of letters as it's meaning? 

Four

200

What type of number has no factors other than 1 and itself? 

Prime

300

I am an odd number. Take away one letter and I become even. What number am I?

Seven

400

Apart from one, I am the first positive number that is both a square and a cube. 

64

500

Lemniscate is the shape of what mathematical symbol? 

Infinity