Algebra 2 Q1

Quadratic Anatomy

100

y=-6x²-4x+11

Find a, b, and c

a=-6

b=-4

c=11

200

y=6(x-4)(x+2). Find x-intercepts

x=4, -2

300

y=a(x+5)²+7

Find axis of symmetry

x=-5

400

y=x²+3x+2

Find x-intercepts

x=-2,-1

500

y=6x²+48x-36.5

Find axis of symmetry

x=-4

Function Basics

100

Define domain and range in exactly 3 words each

Domain = all possible inputs

Range = all possible outputs

200

How can you tell whether a relation is a function?

A relation is a function if each input corresponds to exactly 1 output.

300

Find the range of the function y=x²+2

y is greater than or equal to 2

400

f(x)=4x²+2x+11

Find f(-4) 

f(-4)=67

500

f(x)=3(x-4)²+2

Find f(x-3)

3x²-42x+149

Factor

100

x²+6x+5

(x+5)(x+1)

200

50x+150

50(x+3)

300

ax-ay+az

a(x-y+z)

400

2x²+7x+6

(2x+3)(x+2)

500

10x²-120x+350

10(x-5)(x-7)

Modeling

100

Tommy was born 10" tall and grows 12" per year. Use H for his height in inches and Y for his age in years

H=12Y+10

200

Tommy goes to Vegas with $500 and loses $10 every time he plays the slot machine. Use V for money and S for how many times he plays the slot machine.

V=-10x+500

300

Tommy makes $50 a day plus $3 for each test he grades. Use M for money, D for days, and T for how many tests he grades

M=50D+3T

400

Tommy's pond is 4 feet wide and 8 feet long, but the depth changes when it rains. Use d to represent depth and v to represent volume

v=32d

500

Tommy's Pacman high score is currently 1 and it doubles every day. Use D to represent days and S to represent high score

S=2^d

Miscellaneous

100

Reduce the fraction -63/28

-9/4

200

What is (2/5)²

4/25

300

What is 1/3 + 2/5

11/15

400

How many possible positions are there on a chessboard after 3 moves

119 billion

500

 My bike lock consists of a 4 digit code. How many possible choices are there for my 4-digit code?

10⁴ = 10,000