Algebra 2

Functions & Graphs

100

What is a function?

A relation in which each input has exactly one output.

200

Find the domain of f(x)=3x-5

All real numbers

300

Find f(4) if f(x)=2x+3

11

400

Determine whether the relation is a function.

{(1,2),(2,3),(1,5)}

No

500

Write a function that has slope -2 and passes through (3,7).

y=−2x+13

Linear Equations & Systems

100

Solve

x+4=10

x=6

200

Solve

x+y=8

x-y=2

(5,3)

300

Which method would be easiest?

y=2x+1

y=x+6

Substitution

400

Which method is easiest?

2x+y=9

2x-y=3

Elimination

500

A concert sold 40 tickets.

Adult tickets cost $15.

Student tickets cost $10.

Total revenue was $500.

How many adult tickets were sold?

20

Exponents & Logarithms

100

Evaluate 2⁵

32

200

Convert 3⁴=81 to logarithmic form

log₃(81)=4

300

Evaluate log₂(64)

6

400

Solve 3^x=27

x=3

500

Which grows faster: linear or exponential?

Exponential

Factoring

100

x²-25

(x+5)(x-5)

200

x²+10x+25

(x+5)²

300

x³-8

(x-2)(x²+2x+4)

400

x³+125

(x+5)(x²-5x+25)

500

Factor completely: 

18x²-72

18(x+2)(x-2)

Mixed Review

100

Find f(3) when f(x)=x²+2

11

200

Evaluate 2³

8

300

Factor 9x²-16

(3x+4)(3x-4)

400

Solve 

3x+y=13

x-y=3

(4,1)

500

2x³-54

2(x-3)(x²+3x+9)