Algebra II Fall 2021 Semester Review

Linear Equations

100

What is the slope of this line:

y=(4/5)x-2

4/5

200

What is the y-intercept: y=4x+5

5

300

Convert this into slope intercept form: 4x-3y=6

y=(4/3)x-2

400

What is the equation of the line in SLOPE-INTERCEPT form that passes through the points (-3,2) and (3,-6)

y=(-4/3)x-2

500

What is the equation of the line in SLOPE-INTERCEPT form that is PARALLEL to y=(-4/3)x+5 that runs through the point (-3,2)

y=(-4/3)x-2

Exponent Rules

100

ab³•a²b²

a³b⁵

200

3x^-2y⁴

3y4

___

 x2

300

(2m³n⁵•5m^-4n²•3m⁴)⁰

1

400

2x²y⁴•3xy⁷

6x³y¹¹

500

(4x²y³)^-2

   1

_______

(16x⁴y⁶)

Solving Equations

100

4c+3=7

c=1

200

8x − 2 = −9 + 7x

x=−7

300

4m − 4 = 4m

No Solution

400

−3(4x + 3) + 4(6x + 1) = 43

x=4

500

5(2x + 6) = −4(−5 − 2x) + 3x

x=10

Solving Systems of Equations

100

y = −5

5x + 4y = −20

(0, −5)

200

y = 4x − 9

y = x − 3

(2, −1)

300

x + 7y =0

2x − 8y = 22

(7, −1)

400

−3x − 10y = −4

x − 5y = 18

(8, −2)

500

x − 5y = 6

8x − 8y = −16

(−4, −2)

Absolute Value

100

|3x|=9

x=3,-3

200

|5x| + 5 = 45

x=8,-8

300

|v+8|-5=2

x=-1,-15

400

What is the VERTEX of this absolute value function?

y=-4|x+2|-3

(-2,-3)

500

What is the transformation? (shifts left/right units, down/up units, and opens up or down?)

y=-|x-4|+3

Shifted right 4, up 3, and opens down