Math

If the pattern below is continued, how many blocks will be in the 7th term?

36

What is the next shape in this pattern?

Pentagon

Students in Mrs. Portock's class were trying to write an expression that represents the total number of cubes for any term number, n, for the sequence below. Diego raised his hand to get help from Mrs. Portock. He had the table following written on his paper: Term # (n) # of cubes 1 1 2 4 3 7 4 10 Diego said he recognized the pattern of adding 3 more cubes every time, but needed help writing an expression using n. Of the following, what is the best possible teacher response?

Re-write the number of cubes as an expression showing the amount of cubes being added every time. (Ex: 1+3 instead of 4 cubes, 1+3+3 instead of 7 cubes, etc.)

Mr. Miller gives students the table above and tells them about a commissioned sales person. He asks students to fill in the missing boxes and write a summary of how the number of sales, x, is related to the monthly salary, y. Which of the following best demonstrates how x and y are related?

y = 75x + 250

The table above shows a linear relationship between x and y. Which of the following equations correctly defines the relationship?

y=3x+3

Use the table below to answer the question that follows. x y 1 -2 3 4 5 10 9 22 Which of the following equations correctly models the relationship in the table?

y=3x−5

Kate is starting a new babysitting job in which she will make $7 per hour that she works. Currently, she owes her parents $15, which she will have to pay back from her earnings. Below is a table of the amount of money Kate has saved since starting her job. Which of the following equations could best be used to demonstrate the relationship between x and y?

y=7x−15

Mr. White displayed 3 sequences on his whiteboard during math class: 20,10,5,0,−2.5,...20,10,5,0,−2.5,... 324,108,36,12,4,...324,108,36,12,4,... −6,1,8,15,22,...−6,1,8,15,22,... He asked his students to pick one of the sequences, determine if it was arithmetic or geometric, and explain their reasoning for their answer. Which student answer correctly identifies the sequence and has a sufficient explanation?

"−6,1,8,15,22,...−6,1,8,15,22,... is an arithmetic sequence because if you add 77 to each term, you get the value of the next term in the sequence. When you have a common difference, the sequence is arithmetic."

What is the next shape in this pattern?

Circle

Which of the following equations satisfies the data table?

y = x2