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Do Now: Solve the equation (1.1)
1.) 2.)
3.)
123
145
2
1 xx 525112 yyyy
21
7
1
1
2
3
xxxx
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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
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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
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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.
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1.5: Inequality Notation(s) & Graph
Interval Inequality
Set Graph
(a, b)
[a, b]
[a, b)
(a, b]
[a, )
(a, )
( , a]
( , a)
( , )
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1.5: Solve the inequality. Graph the solution.1.) 2.)
3.) 4.)
523 x 3274 xx
1235 x 014 1 x
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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.
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Solve the equations. (1.6)1.) 2.)134 x 7232 x
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Solve the inequalities. (1.6)1.) 2.)541 x 352 x
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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?
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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.
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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?
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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?
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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?
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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?