### Rainer's Growing Post ( 2 )

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.

For this problem the starting point is 180, the change is +25, and the variable ( n ) is the number of months.

180 + 25n = the number of cards

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?

180 + 25n =

180 + 25(48) =

180 + 1200 = 1380

When he turn 12 years old he would have 1 380 baseball cards.

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 pizzas 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 pizzas should she order?

According to the graph, 4 people at Jackie's party ( counting her ) will eat a total of 12 slices of pizza. There are 6 slices in a whole pizza. So, 12/6 = 2 . Jackie will need to order 2 whole pizzas.

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

2 more people is 6. 6 people at Jackie's party ( counting her ) will eat a total of 18 slices of pizza. 18 slices of pizza divided by 6 slices per pizza is equal to 3 whole pizzas ( 18/6 = 3 ).

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

20 is our starting point. +15 is the change of her savings account. Her variable is n. It represent the number of months not the number of years.

20 + 15n =

1 year is 12 months.

So, our n represents 12.

20 + 15(12) =

20 + 180 = 200

$200 = savings account

Kathy will have $200 in her savings account in 1 year.

b) Suppose Kathy counted wrong and she really has $25 in her account instead of $20. Change the algebraic formula to reflect this miscalculation.

Instead of 20 our starting point is now 25 since Kathy has really $25. The rest of the algebraic formula is still right

25 +15n = savings account

So,

25 + 15n = savings account

25 + 15(12) = savings account

25 + 180 = savings account

$205 = savings account

or

you could just add $5 to the previous answer

200 + 5 = $205

4. Solve the following equations. Show all of the steps that are needed.

We start with working on the equations in the brackets ( ) .

Then, we do the like terms on the same side of the " = " symbol.

Next you combine all the variables ( n ) in one side of the " = " symbol.

By then you have everything you need to know what the variable stand for.

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

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

7n + 7 = 2n + 12

7n - 2n + 7 = 2n - 2n + 12

5n + 7 = 12

5n + 7 - 7 = 12 - 7

5n = 5

5n/5 = 5/5

n = 1

b) 8n - (4 + 9) = 11

8n - (4 + 9) = 11

8n - 13 = 11

8n - 13 + 13 = 11 + 13

8n = 24

8n/8 = 24/8

n = 3

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

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

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

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

5n + 7n = 4n

12n = 4n

12 = 4n

12/4 = 4n/4

3 = n

## 2 Comments:

Great job with your scribe post Rainer, your explanations were very thorough and detailed, it made it very easy to understand how you came to each explanation. I will be adding this wonderful post to the hall of fame.

Your grade is 18/17

txn

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