Transcript Academy Algebra II

Do Now: Solve the equation (1.1)
1
1
1.) x  5  4  2 x  1 2.) 2 y  1 y 1   y  52 y  5
2
3
3
1
7
3.)


x  2 x  1 x  1x  2
ACADEMY ALGEBRA II
1.1: Linear Equations
HW: Wed: p.94-95 (24, 26, 28,
48, 50, 60, 80)
1.5: Solving Inequalities,
1.6: Equations and
Inequalities Involving
Absolute Value
HW: Thurs: p.132-133 (12, 16,
24, 66, 74, 104), p.138 (12, 30,
32, 40, 46)
Using the Graphing Calculator (1.1)
• The calculator can be used to solve the equation via
the intersection feature. Solve the following equation
algebraically and graphically.
3w
2w  2
2
w 1
w 1
A burn victim needs to have the skin on his middle
finger replaced. The finger can be modeled as a cylinder
(with an open top) of radius r, and height, h.
a.) Write an equation relating the surface area S
to r and h.
b.) Solve for h in terms of S and r.
1.5: Inequality Notation(s) & Graph
Interval
(a, b)
[a, b]
[a, b)
(a, b]
[a, )
(a, )
(  , a]

(  , a)

( , )
Inequality
Set
Graph
1.5: Solve the inequality. Graph the solution.
1.) 3  2x  5
3.)  5  3x  2  1
2.) 4x  7  2x  3
4.)
4 x  1
1
0
Do Now (1.5)
In one province of Canada, the combined weight of
normal triplets is typically between 9 lbs. 13 oz. and 22
lbs. 4 oz. Calculate the typical birth weight of each of
the triplets.
Solve the equations. (1.6)
1.) x  4  13
2.) 2 x  3  2  7
Solve the inequalities. (1.6)
1.) 1  4 x  5
2.) 2 x  5  3
Do Now (1.7): Simple Interest, I, is I = Prt. Total
money accrued after the t years is A = P(1 + rt).
• P.141 Ex.2: Juanita borrows $500 for 6 months at the
simple interest rate of 9% per year. What is the
interest Juanita will be charged on the loan? How
much does Juanita owe after 6 months?
p.141 Ex3
Candy has $70,000 to invest and requires an overall rate
of return of 9%. She can invest in a safe, government
insured certificate of deposit, but it pays only 8%. To
obtain 9% she agrees to invest some of her money in
noninsured corporate bonds paying 12%. How much
should be placed in each investment to achieve her goal.
Mixture Problem
A bottle of Tylenol (Runny Nose and Cough) contains a
total of 165mg of the active ingredients Acetaminophen
(A) and Dextromethorphan (D). For the manufacturer
ingredient D costs $5/g and ingredient A costs $12/g. If the
cost (to the manufacturer) of the bottle of medicine per
gram is $9.90, how much of each active ingredient is
placed in each bottle of the medicine?
Uniform Motion: D = rt. p.143 Ex5
Tanya who is a long distance runner, runs at an average
velocity of 8 mi/hr. Two hours after Tanya leaves your
house, you leave in your car and follow the same route. If
your average velocity is 40 mi/hr, how long will it be
before you catch up to Tanya? How far will each of you be
from your home?
p.144 Ex6
A motorboat heads upstream a distance of 24 miles on a
river whose current is running at 3 mph. The trip up and
back takes 6 hours. Assuming that the motorboat
maintained a constant speed relative to the water, what
was its speed?
Constant Rate Job Problem: p.145 Ex7
At 10am Danny is asked by his father to weed the garden.
From past experience, Danny knows that this will take him
4 hours, working alone. His older brother, Mike, when it is
his turn to do this job requires 6 hours. Since Mike wants
to go golfing with Danny and has a reservation at 1 pm, he
agrees to help Danny. Assuming no gain or loss of
efficiency, when will they finish if they work together? Can
they make the golf date?