Advanced Algebra 1 Fall 2021 Semester Review

Linear Equations

100

What is the slope of this line:

y=(4/5)x-2

4/5

200

What is point slope form?

y-y₁=m(x-x₁)

300

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

y=(4/3)x-2

400

What is the equation of the line in POINT-SLOPE form that is PERPENDICULAR to y=(2/3)x-5 that passes through the point (-3,5)

y-5=(-3/2)(x+3)

500

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

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

−8x − 10y = 24 

6x + 5y = 2

(7, −8)

500

0 = −2y + 10 − 6x

14 − 22y = 18x

(2,-1)

Inequalities

100

Is the following inequality a dashed or solid line AND do you shade up or down?:

y≤(4/3)x-3

Solid, and down

200

Is the following inequality a dashed or solid line AND do you shade up or down?:

-3y<4x-6

Up, and dashed

300

-5n-6n≤8-8n-n

n≥-4

400

Put in slope intercept form:

5x-4y>8

y<(5/4)x-2

500

How do you show the solution to a system of linear inequalities?

Graph the linear inequality, and the area that overlaps in shading are your solutions