Algebra 1B Review

Exponential, Quadratic Functions

100

Is this equation linear, exponential, or quadratic: 

y = 3(4^x)?

Exponential

200

Find the axis of symmetry and the vertex of the quadratic function, f(x) = 3x² - 27x + 60

x = 4.5, vertex = (4.5, -0.75)

300

If f(x) = 5 + 2^x, what is f(0)?

f(0) = 6

400

What is the vertex of the following quadratic function?

f(x) = 3x² - 6x + 2

vertex is (1, -1)

500

Find the zeros of the function, f(x)=-3x² + 9x - 6

x = 1 and x = 2

Operations with Polynomials

100

Simplify: (7k²+9)+(6k²-11)

13k² - 2

200

Simplify: (2x - 3)²

4x² - 12x + 9

300

Simplify:

(5y²+3y-6)-(2y²-5y+3)

3y² + 8y - 9

400

Simplify: (2x + 7)(x - 5)

2x² - 3x - 35

500

Simplify:

(3x - 1)(4x² + x - 6)

12x³ - x² - 19x + 6

Factoring Polynomials

100

Factor:  45x²y - 18xy³

9xy(5x - 2y²)

200

Factor:  16x² - 1

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

300

Factor: x² - 11x + 18

(x - 9)(x - 2)

400

Factor: x³ + 2x² - 8x - 16

(x² - 8)(x + 2)

500

Factor: 3x² - 18x - 21

3(x - 7)(x + 1)

Solving Quadratic Equations

100

Solve:  5x² - 1 = 19

x = 2 or x = -2

200

How many solutions does this equation have? (find the discriminant)

y = 6x² - 7x + 1

2 solutions

300

Solve:

x² + 8x = 9

x = -9 or x = 1

400

What is the Quadratic Formula?

x = -b +/- sqrt (b²-4ac)

      ^{-----------------------------}

2a

500

Solve:  4x² = 2x + 3

x ≈ 1.8 and -0.7

Random

100

What is the name of the main character in Flatland?  (the daughter of Arthur Square)

Hex!

200

(1st hour) Who usually does not have a pencil for class?

(2nd hour) Who talks the most in class?

1st hour:  Reed Horlings

2nd hour:  Lauren or Finn

300

What tune is the quadratic formula song, sung to?

"Frère Jacques" pronounced Frara Jakka

400

What is the longest river in Michigan?

A.  Ausable River

B.  Grand River

C.  Muskegon River

D.  Long River

Grand River 

500

What is one dog species that Mr. Steed owns?

Shih tzu and Mini Bernedoodle