Honors math 3 study guide

Unit 1

100

k(x)= 1-6x

find the value of; |k(x)|<2

(interval notation)

(-1/6,1/2)

200

Simplify; (x^-1y^1/3z)³ * (x⁴y⁷z⁵)^1/5

=y^12/5z⁸/x^11/5

300

Solve; -19/5 + 6(-2r+3/2) = =-334/5

x=6

400

Solving literal equations, A=(3(x−4)+B)/2

Solve for x 

x=(2(A−B)+12)3

500

Factor; (4x+3)^2 + 4(4x+3) -5

8(x+2)(2x+1)

Unit 2

100

Solve by Factoring

(3x-4)²+7=35

x=(4+-2(7)^1/2)/3

200

Change into vertex form

y=-2x²-12x-20

y=-2(x+3)²-2

300

In factored form with y-intercept at (0,w), opens down

y= -(x+w^1/2)²

400

In standard form with zeros x= 7+- 2^1/2

y=x²-14x+47

500

A gardener has 120 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing.

Draw me a diagram

Show me

Unit 3

100

Kayla and Omar can mow a field together in 3 hours. If Omar alone takes 5 hours, how long would Kayla take working alone

7.5 hrs

200

(2x²-28x+90)/(x²+14x+49) DIVISION 30-6x/3

-(x-9)/(x+7)²

300

(3/x+2 - 3/x-2)/(5/x²-4)

-12/5

400

(3/x²+5x)/(-2/x+5)+1/x

3/5-x

500

End behavior of x->∞, f(x)-> -4, x->-∞, f(x)->-4

Asymptotic behavior of:x->-1^-, f(x)->-∞, x->-1⁺,f(x)->∞,

y-int:(0,-8)

Write a rational function that matches the description

f(x)=x-5/3(x-1)

Extra

300

DAILY DOUBLE

How many lights are on erkhees goofy lamp

10

400

simplify- sqrt{72x³y⁶z}

6xy³(6xz)^1/2

500

Fill out these unit circles

winner gets 500 points dawg