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September 29, 2016

Warm Up: Solve for p. Show all work. Check your answer.

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September 29, 2016

Solving Word Problem EquationsA college student is moving into a campus dormitory. The student rents a moving truck for $19.95 plus $0.99 per mile. Before returning the truck, the student fills the tank with 

gasoline, which costs $65.32. The total cost is $144.67. How many miles did the student drive the truck?

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September 29, 2016

Noah and Kate are shopping for new guitar strings in a music store. Noah buys 2 packs of strings. Kate 

buys 2 packs of strings and a music book. The book costs $16. Their total cost is $72. How much is one 

pack of strings?

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September 29, 2016

The length of a rectangle is nine inches less than twice the width. If the perimeter of the rectangle is 84 inches, find the dimensions of the rectangle.

The larger of two numbers is one more than three times the smaller number. If the sum of the numbers is 49, find the numbers.

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September 29, 2016

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?

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September 29, 2016

Donna wants to make trail mix made up of almonds, walnuts and raisins. She wants to mix one part almonds, two parts walnuts, and three parts raisins. Almonds cost $12 per pound, walnuts cost $9 per pound, and raisins cost $5 per pound. Donna has $15 to spend on the trail mix. Determine how many pounds of trail mix she can make. [Only an algebraic solution can receive full credit.]

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September 29, 2016

1) Hank went to Shop Rite and purchased some roast beef and one loaf of bread for a total of $11.54. If the bread cost $3.44 and the roast beef sells for $5.40 per pound, how many pounds of roast beef did he buy?

2) A community recreation center charges a fixed fee of $300 plus $40 per hour to rent their facilities.

a. Write an equation that shows the total cost, c of renting the recreation center for h hours.

b. Determine the total cost for renting the recreation center for three hours.

c. If you are budgeting $550 for renting the facility, do you have enough money to rent the facility for 7 hours? Justify your answer

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September 29, 2016

3) Tanisha and Rebecca are signing up for the new cell phone plans that only charge for the number minutes talking and everything else is included in a monthly fee. Their plans are as follows:

Rebecca's plan: $0.10 per minute talking and an $25.00 monthly feeTanisha's plan: $0.15 per minute talking and an $18.50 monthly fee

a) After how many minutes will the two plans charge the same amount?

b) Interpret your answer. Explain which plan you would rather pay?