Alg 2 - Unit 2 Quiz 1 Review

Solve by Factoring (a=1)

100

(x - 1)(x + 4) = 0

x - 1 = 0    x + 4 = 0 

 x = 1           x = - 4

200

x² + 4x - 12 = 0

(x - 6)(x + 2) = 0

x - 6 = 0             x + 2 = 0

x = 6                    x = -2

300

x² - 9x + 20 = 0

(x - 4) (x - 5) = 0

x - 4 = 0           x - 5 = 0

x = 4                   x = 5

400

x² - 6x + 6 = - x

x² - 5x + 6 = 0

(x - 3) (x - 2) = 0

x - 3 = 0       x - 2 = 0

x = 3             x = 2

500

3x² - 4x + 24 = 2x² - 15x 

x² + 11x + 24 = 0

(x + 3)(x + 8) =0

x + 3 = 0      x + 8 = 0

x = -3           x = -8

Solve by Factoring (a>1)

100

(2x + 7)(4x - 1) = 0

2x + 7 = 0       4x - 1 = 0

2x = -7              4x = 1

x = - 7/2            x = 1/4 

200

3x² - 7x + 2 = 0

(3x - 1) (x - 2) = 0

3x - 1 = 0      x - 2 = 0

x = 1/3          x = 2

300

5x² - 13x - 6 = 0

(5x + 2) (x - 3) = 0

5x + 2 = 0   x - 3 = 0

5x = - 2       x = 3 

x = -2/5

400

8x² + 14x + 3 = 0

(2x + 3) (4x + 1) = 0

2x + 3 = 0    4x + 1 = 0

2x = -3          4x = -1

x = -3/2           x = -1/4

500

3x² + 10x + 5 = -3x² - 3x

6x² + 13x + 5 = 0

(3x + 5) (2x + 1) = 0

3x + 5 = 0        2x + 1 =0

3x = -5               2x = -1

x = -5/3             x = -1/2

Solve by Factoring (GCF)

100

x (x + 3) = 0

x = 0    x + 3 = 0

              x = - 3

200

x² + 6x = 0

 x(x + 6) = 0

x = 0     x + 6 = 0

               x = - 6

300

3x² - 2x = 0

3x² - 2x = 0

x(3x - 2) = 0

x= 0    3x - 2 = 0

             3x = 2

              x = 2/3

400

10x² = 100x

10x² - 100x = 0

10x (x - 10) = 0

10x = 0      x - 10 = 0  

 x = 0          x = 10

    

500

3x² - 27x = -4x² + 1x

7x² - 28x = 0

7x (x - 4) = 0 

7x = 0    x - 4 = 0

 x = 0      x = 4

Convert to Standard Form

100

x² + 5 = 6x

x² - 6x + 5 = 0

200

y = (x - 8)(x - 12) 

y = x² - 20x + 96 

300

y = (x - 2)² + 61 

y = (x - 2) (x - 2) + 61

y = x² - 4x + 4 + 61

y = x² - 4x + 65

400

y = -2(x - 8)(x - 4)

y = -2(x² - 12x + 32)

y = -2x² + 24 - 64

500

y = -3(x + 7)² - 47

y = -3(x + 7)(x + 7) - 47

y = -3( x² + 14x + 49) - 47

y = -3x² - 42x -147 - 47

y = -3x² - 42x - 194 

Halloween Trivia

100

How many colors of M&Ms are in a regular bag

six 

200

Is a pumpkin classified as a fruit or a vegetable?

Fruit

300

How many bones are in the average adult human skeleton?

a. 108

b. 263

c. 198

d. 206

d. 206

400

What is the most popular and best-selling Halloween candy in the United States?

a. Kit Kat

b. Snicker

c. Reese's Peanut Butter Cup

d. Sour Patch Kids

c. Reese's Peanut Butter Cup

500

Which U.S. state produces the highest volume of pumpkins annually?

a. Idaho 

b. Illinois

c. Rhode Island

d. Alaska 

b. Illinois