NCM1 - EOC Practice Test #2

Sally works at a store. X represents Sally’s monthly paycheck, and Y represents her monthly savings. Sally will save at least $20 more than half of her paycheck each month.  She can save at most $80 more than two-thirds of her paycheck each month. Her paycheck each month is at least $1200, but no more than $1850. Which system of inequalities represents these constraints? 

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A statistician collected data to explore the relationship between two variables, x and y, as displayed in the table. The statistician performed a linear regression and also plotted the residuals. Based on the residual plot, the statistician decided to exclude one data point. The statistician then performed linear regression on the set of remaining data. The result was that the new linear model fit the remaining data more closely than the original model fit the data. Which data point did the statistician exclude?

• (2.3, 11.0)

• (4.2, 16.5)

• (6.4, 23.1)

• (8.2, 24.3)

• The mean and median will both increase

• The mean will increase and the median will decrease

• The mean will increase and the median will remain the same

• The mean and median will both decrease

Three systems of equations are shown below. Match each system to the choice that best describes the solution set for that system.

• No Solutions

• 2x + 3y = 12

  2x + 3y = 18

• Infinitely Many Solutions

• 2x + 2y = 16

  4x + 3y = 27

• One Solution

• 2x + 2y = 8

  4x + 4y = 16