1.3 Eqs w Vars Both Sides.notebook

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September 14, 2017

Warm Up:Shirley is going to have the exterior of her home painted. Tim's Painting charges a base fee of $250 plus $14 per hour. Colorful Paints charges

$22 per hour. After how many hours would the two costs be equal?

1.3 Eqs w Vars Both Sides.notebook

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September 14, 2017

1-3 Solving Equations w/ Variables on Both Sides(textbook pages 18-23)

1.3 Eqs w Vars Both Sides.notebook

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September 14, 2017

1.3 Eqs w Vars Both Sides.notebook

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September 14, 2017

1.3 Eqs w Vars Both Sides.notebook

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September 14, 2017

Some friends want to go see a movie that is showing at two different theaters in town. They also plan to share three tubs of poprcorn during the movie.

a) Write an expression for each movie theater to calculate costs.

b) For what situation would the total cost at each theater be exactly the same? Justify your answer.

c) Which movie theater should the friends choose? Explain.

Theater A Theater BTicket Price $14.50 $13.00

Popcorn $5.75 $6.75

Homework: p. 21 #5-9

1.3 Eqs w Vars Both Sides.notebook

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September 14, 2017

Warm Up: Evelyn knows she solved the following equation incorrectly because it doesn't check.

a) Explain Evelyn's mistake

b) Solve the equation correctly.

1.3 Eqs w Vars Both Sides.notebook

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September 14, 2017

Arabica coffee costs $28 per pound and robusta coffee costs $8.75 per pound. How many pounds of arabica coffee must you mic with 3 pounds of robusta coffee to make a blend that costs $15.50 per pound? How did I get

my equation?

a=

26.25=

(a+3)=

1.3 Eqs w Vars Both Sides.notebook

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September 14, 2017

Cameron pays $0.95 per song with his current music service. A new music download service charges $0.89 per song with just a $12 joining fee. Should Cameron switch to the new service?

> Write an equation to represent the cost for any number of songs, s.

> Solve the equation to find the number of songs at which the cost for each option will be the same.

> Interpret your solution.

HINT

S

{

1.3 Eqs w Vars Both Sides.notebook

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September 14, 2017

Do you understand?You are solving an equation with a variable on each side. Does the side on which you choose to isolate the variable affect the solution? Why might you choose one side over the other?

1.3 Eqs w Vars Both Sides.notebook

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September 14, 2017

1.3 Eqs w Vars Both Sides.notebook

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September 14, 2017

Regents Practice!!!

John has four more nickels than dimes in his pocket, for a total of $1.25. Which equation could be used to determine the number of dimes, x, in his pocket?

(1) 0.10(x+4) + 0.05(x) = $1.25 (3) 0.10(4x) + 0.05(x) = $1.25

(2) 0.05(x+4) + 0.10(x) = $1.25 (4) 0.05(4x) + 0.10(x) = $1.25

In 2013, the US Postal Service charged $0.46 to mail a letter weighing up to 1 oz and $0.20 per ounce for each additional ounce. Which function would determine the cost, in dollars, c(z), of mailing a letter weighing z ounces where z is an integer greater than 1?

(1) c(z) = 0.46z + 0.20 (3) c(z) = 0.46(z-1) + 0.20

(2) c(z) = 0.20z + 0.46 (4) c(z) = 0.20(z-1) + 0.46

If the total cost was $1.06 to mail a letter, how much did the letter weigh?

1.3 Eqs w Vars Both Sides.notebook

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September 14, 2017

Homework: p. 22-23 #41, 45, 46