Do Now: Solve the equation (1.1) 1.) 2.) 3.). 1.1: Linear Equations HW: Wed: p.94-95 (24, 26, 28, 48, 50, 60, 80) 1.5: Solving Inequalities, 1.6: Equations.

Do Now: Solve the equation (1.1)

1.) 2.)

3.)

123

145

2

1 xx 525112 yyyy

21

7

1

1

2

3

xxxx

1.1: Linear EquationsHW: Wed: p.94-95 (24, 26, 28, 48, 50, 60, 80)1.5: Solving Inequalities,1.6: Equations and Inequalities Involving Absolute ValueHW: Thurs: p.132-133 (12, 16, 24, 66, 74, 104), p.138 (12, 30, 32, 40, 46)

ACADEMY ALGEBRA II

Using the Graphing Calculator (1.1)•T

he calculator can be used to solve the equation via the intersection feature. Solve the following equation algebraically and graphically.

1

222

1

3

w

w

w

w

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 Inequality

Set Graph

(a, b)

[a, b]

[a, b)

(a, b]

[a, )

(a, )

( , a]

( , a)

( , )

1.5: Solve the inequality. Graph the solution.1.) 2.)

3.) 4.)

523 x 3274 xx

1235 x 014 1 x

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.) 2.)134 x 7232 x

Solve the inequalities. (1.6)1.) 2.)541 x 352 x

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 Ex3Candy 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 ProblemA 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 Ex5Tanya 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 Ex6A 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 Ex7At 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?