Coach Stephens Alg 2 Unit 0

Multi-Step Equations

100

90 = 5(6 - 6p)

p = -2

200

-5(-5 + 8a) = 305

a = -7

300

4(4x - 6) = -37 + 3x

x = -1

400

-(-6 + 8x) = 36 + 2x

x = -3

500

1 + 4x - 3 = -(-8 + x) + 7(x - 2)

x = 2

Slope

100

Slopes of parallel lines are _______

Equal

200

Slopes of perpendicular lines are ________ _________

Negative reciprocals (opposites).

300

Write "slope-intercept form".

y = mx + b

400

Write "point-slope form"

y - y₁ = m(x - x₁)

500

Write "slope" form

y₂ - y₁ / x₂ - x₁

X and Y Intercepts

100

y = -3x + 16/3

X int: 16/9

Y int: 16/3

200

4x - y = 8

X int: 2

Y int: -8

300

(3/4)x - (1/3)y = -2

X int: -8/3

Y int: 6

400

6x + 5y = -15

X int: -5/2

Y int: -3

500

(7/3)x - (1/3)y = 1

X int: 3/7

Y int: -3

Point Slope

100

Slope = - 6

(-4, 1)

y = -6x - 23

200

Slope = 4/3

(-5, -6)

y = 4/3x + 2/3

300

Passes through (-4, 11) and (2, 8)

y = -1/2x + 9

400

Passes through (6, 3) and (14, -5)

y = -x + 9

500

Passes through (2, -2) and (-3, -17)

y = 3x - 8

Relations and Functions

100

Determine if the relation is a function.

{(-1,-9),(0,-5),(4,3),(6,-2)}

Yes

200

Determine if the relation is a function. 

{5,2),(-3,4),(5,-6),(8,0)}

No

300

Use f(x) = -5 - 14

f(-9)

f(-9) = 31

400

Use q(x) = |3x - x³|

q(5)

q(5) = 110

500

Use f(x) = -4x + 9

f(7w - 5)

f(7w - 5) = -28w + 29