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

Solving Equations

100

4c+3=7

c=1

200

8x − 2 = −9 + 7x

x=−7

300

4m − 4 = 8m

m=-1

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

4x + 2y = 10

x − y = 13

(6, −7)

500

y = −5

5x + 4y = −20

(0, −5)

Slope

100

Find the slope: (-19, -6), (15, 16)

11/17

200

Find the slope: (-3,1),(-17,2)

-1/14

300

Perpendicular to: y=(-4/3)x+5

3/4

400

Parallel to y=-5x+7

-5

500

Find the slope: 2x+3y=9

-2/3