### jaymie's growing post for this Tuesday

**Question #1: Solve all 3 parts of the problem below**

Jack collects baseball cards. Jack has 180 baseball cards in his collection. At the end of each month Jack buys 25 baseball cards to add to his collection.

a)Create a T-Chart showing how many baseball cards Jack has at the end of the next 4 months.

Jack will have a total of 280 cards at the end of the next 4 months.

b)Create an algebraic formula based upon the problem above

An algebraic formula that can be used for the problem above is:

180+25(m)=#of cards

example: 180+25(4)=280 cards

I started off with multiplying the number of months which is 4 by 25 the number of cards he buys after each month then adding his remaing 180 cards to get a total of 280 cards by then end of the next 4 months.

c)If Jack just turned 8 years old this month and Jack continues to buy the same amount of baseball cards each month, how many baseball cards will jack have when he turns 12?

Jack will have a total of 1380 cards by the the time he turns 12.

I got the answer by first figuring out the difference between 8 and 12 which is 4. So i multiplied 4 by 12 to give me 48 because there are 48 months in 4 years. Then I used the algebraic formula, 180+25(48). All I did was change the variable. So then I multiplied 48 bye 25 to get me 1200, then I added the remaining 180 to get 1380 cards.

**Question #2: Use the chart to figure out the questions below.**

Jackie is planning on having a pizza party with some of her friends. She is trying to figure out how many pizza’s to order. She knows that each pizza has six slices of pizza.

a)If Jackie thinks that there will be four people at the party (counting herself) how many pizza’s should she order?

Jackie should order a total of 2 pizzas. She should order 2 pizzas because if you look at the chart and find 4 people it says that there will be 12 slices and if there are 6 slices in each pizza I divide 12 by 6 and that gives me 2 whole pizzas.

b)If two more people show up at the party how many more pizza’s does she need to order?

**If two more people show up at the party Jackie should order 1 more pizza making a total of 3 pizzas all together. She should order 3 pizzas in total becuase if you look at the chart and find 6 people there will be 18 slices. So divide 18 slices by 6 to get a total of 3 pizzas.**

**Question #3: Answer the questions below based upon this information**

Kathy has $20 in her savings account. Each month she adds another $15 to her savings account. In order to calculate how much money she will have in one year Kathy has created this algebraic formula: 20 + 15n = Savings amount

a) Calculate how much money Kathy will have in one year

Cathy will have $200.00 dollars in her saving account. I got that answer by taking her formula of 20+15(12). First I mulitplied 12 by 15 to get 180 then i added her $20.00 dollars to get $200.00 dollars in total.

b) Suppose Kathy counted wrong and she really has $25 in her account instead of $20. Change the algebraic formula to reflect this miscalculation.If Cathy made a mistake and she had actually had $25.00 dollars instead of $20.00 the formula would now be:

25+15n=savings account

Then Cathy would have a total of $205.00 dollars for that 1 year.

**Question #4: Solve the following**

*equations*. Show all of the steps that are needed.Equations-In a equation the value of the variable is given.

a) 3n + 4n + 7 = 2n + 12

3n+4n+7=2n+12

3(1)+4(1)+7=2(1)+12

3+4+7=14

N= 1

b) 8n – (4 + 9) = 11

8n-(4+9)=11

8(3)-(4+9)=11

24-13=11

N= 3

(8-3)n+7n+8=4n+40

5n+7n+8=4n+40

5(4)+7(4)+8=4(4)+40

20+28+8=56

N= 4