Algebra 2 QA Project (Z/J)

Vocabulary

100

Function Definition

The 'x' variable cannot repeat and passes the vertical line test

200

Translations Definition

No change in shape, just slides up/down and left/right

300

Vertical Shrink Definition

Multiply outside especially when the variable is less than 1 (steeper graph)

400

Dividing Monomials Definition

Dividing each piece on top by the term on the bottom

500

Complex Numbers Definition and symbol

Based on imaginary numbers that come from trying to take the root of a negative (i)

Polynomial Operations

100

(-10x² +2x -4) - (3x² +7x -3)

-13x² -5x -1

200

(2x -9) + (3x -6)

5x -15

300

(3x -3)(2x -5)

6x² -21x +15

400

(-2x -1)(3x² +10x +9)

-6x³ -23x² -29x -9

500

-18z⁵+3z⁴+18z³+9z²/-3z²
 

6z³-z²-6z-3

Solve Absolute Value Equation

100

|x+2|=4

x=2 and x=-6

200

|-2x+7|=25

x=-9 and x=16

300

3|x-2| -10 =11

|x-2|=7

400

3|x+2|-2|x+2|=4

x=2 and x=-6

500

|4x+2|+|2x-5|=11

x=-4/3 and x=2

Transformations

100

y=(x+3)³

Shift Left 3 Units

200

y=2^x +4

Shift Up 4 Units

300

f(x+2)

Translate 2 units to the left

400

f(x-2)+5

Translate 2 units to the right and 5 units up

500

y=2^-x+2

Reflect over y-axis

Shift Up 2 Units

Complex Number Operations

100

i⁹⁴

-1

200

i²⁸ * i²⁶ * i²⁹ *i⁸ 

-i

300

(4+i) - (-8-8i) 

-4-7i

400

(6-5i)²

11-60i

500

(-3+i)⁴ Simplify in a+bi form

28-96i