Name:



name: _______________________ date: _________ countdown: ___________ score: _______

EOC Practice: Set 6

1. Which situation can be modeled by the slope of a linear function?

|a. |area of a square with side x units long |

|b. |amount of increase in tuition cost this year at Duke University |

|c. |constant rate of annual depreciation of a piece of surveying equipment |

|d. |difference in germination rate of two types of tomato seeds |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

2. A bank in Wilmington conducted a study to determine if it can predict the number of mistakes tellers will make during their first month of employment from the number of hours of training they receive. Which is the dependent variable in the study?

|a. |the number of tellers |

|b. |the average number of mistakes made |

|c. |the number of mistakes a teller makes |

|d. |the number of hours of training a teller receives |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

3. Which is the slope of a line parallel to a line that passes through (–3, 6) and (0, 8)?

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

4. Which is the solution of the system of equations?

|Equation 1: y = 2x – 1 |Equation 2: 2x – y + 3 = 0 |

|a. |[pic] |c. |Reals |

|b. |0 |d. |empty set |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

5. Which expression is equivalent to [pic]?

|a. |[pic] |c. |2x–2y–3z–5 |

|b. |8x2y14z3 |d. |2x3y–48z4 |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

name: _______________________ date: _________ countdown: ___________ score: _______

EOC Practice: Set 7

1. Students in a high school drama club wash cars to earn money for school trips. The table shows the number of students working a shift and the amount of money they collected for the shift. Which equation best fits the data?

|Number of Students |9 |3 |8 |5 |4 |

|Earnings ($) |85 |25 |75 |54 |36 |

|a. |y = 5.8x + 33 |c. |y = 5.8x – 33 |

|b. |y = 9.664x + 1.05 |d. |y = 9.664x – 1.05 |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

2. Which point is a solution of the system of inequalities?

y < –2x + 3

y > 3x + 1

|a. |(–1, 4) |c. |(1, –4) |

|b. |(0, 5) |d. |(2, 0) |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

3. The quarterly profit p of a company for the sale of its frozen yogurt bars can be modeled by the equation p = 0.12x – 4,500, where x is the number of yogurt bars sold. If the company expects to sell at most 300,000 bars in a quarter, which is the most reasonable range for this model?

|a. |p = 31,500 |c. |p = 300,000 |

|b. |24,500 = p = 31,500 |d. |24,500 = p = 300,000 |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

4. The table shows the price a seafood restaurant pays per pound of salmon. If the price per pound remains constant, how much would the restaurant pay for 85 pounds of salmon?

|Pounds |2 |4 |6 |8 |10 |12 |

|Cost ($) |4.70 |9.40 |14.10 |18.80 |23.50 |28.20 |

|a. |$176.25 |c. |$199.75 |

|b. |$197.40 |d. |$211.50 |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

5. Which is the slope of a line perpendicular to a line that passes through (0, –3) and (5, 0)?

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

name: _______________________ date: _________ countdown: ___________ score: _______

EOC Practice: Set 8

1. How does the graph of y1 = –3x + 1 differ from the graph of y2 = 3x + 1?

|a. |One line is vertical and the other line is horizontal. |

|b. |The graphs have different y-intercepts. |

|c. |The rate of change for y2 is greater than the rate of change for y1. |

|d. |As x increases, y1 decreases, while y2 increases. |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

Use the following information to answer questions 2 and 3.

The table shows five used car prices for a luxury sedan taken from used car dealerships in North Carolina.

|Age (years) |2.0 |2.5 |3.5 |1.0 |0.5 |

|Price |$25,936 |$27,775 |$19,250 |$30,265 |$33,100 |

2. Based on a regression line for these data, which price might you expect for this model sedan if it were 54 months old?

|a. |$18,600 |c. |$14,545 |

|b. |$16,537 |d. |$10,450 |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

3. Based on a regression line for these data, approximately what price might you expect for this model sedan if it were 8 years old?

|a. |$10,000 |c. |$6,500 |

|b. |$7,500 |d. |$2,100 |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

4. Which term represents the values of the dependent variable in a function?

|a. |slope |c. |range |

|b. |domain |d. |intercept |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

5. Line c passes through (–2, –3) and is parallel to line d. If the equation of the graph of line d is y = [pic]x + 2, which is the equation of line c?

|a. |y = [pic]x – 4 |c. |y = [pic]x – 3 |

|b. |y = [pic]x – 3 |d. |y = –2x – 4 |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

name: _______________________ date: _________ countdown: ___________ score: _______

EOC Practice: Set 9

1. The table shows the number of hours Gina thinks it will take to drive a certain number of miles on a car trip she plans to take from Fayetteville to Tulsa, Oklahoma. If the table corresponds to Gina’s actual trip, how many miles will she have driven after [pic] hours?

|Time (hours) |3 |6 |9 |12 |15 |18 |

|Distance (miles) |186 |372 |558 |744 |930 |1,116 |

|a. |806 miles |c. |868 miles |

|b. |837 miles |d. |899 miles |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

2. Hamid can join a ski club and pay a reduced fee for the ski lift or he can pay full price each time he takes the ski lift. The table shows the total cost for each option for the first 6 lifts. At what point does it cost less to join the ski club?

|Number of Tickets |1 |2 |3 |4 |5 |6 |

|Individual Tickets |$29 |$58 |$87 |$116 |$145 |$174 |

|a. |lift 8 |c. |lift 10 |

|b. |lift 9 |d. |lift 11 |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

3. Which expression is equivalent to (8de5)(3d2e–3)?

|a. |5d2e–15 |c. |–11d2e–15 |

|b. |24de |d. |24d3e2 |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

4. In a set of data points the observed value for y is 2.8 when x = 3. If the linear regression line y = –3.5x + 10 is used to model the data, which is the difference between the observed value for x = 3 and its predicted value on the regression line?

|a. |3.3 |c. |–2.3 |

|b. |2.3 |d. |–3.3 |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

5. The value of f(50) for the function f(x) = 240x2 + [pic] is an approximation of the number of households in North Carolina in 2000 where a language other than English was spoken at home. In approximately how many North Carolina households was a language other than English spoken in 2000?

|a. |24,000 |c. |600,000 |

|b. |144,000 |d. |144,000,000 |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

name: _______________________ date: _________ countdown: ___________ score: _______

EOC Practice: Set 10

1. The scatter plot shows how the number of donors at a blood bank with blood type A positive compares to the total number of donors. Which equation best fits the data?

[pic]

|a. |y – 0.5x – 8.9 |c. |y = –0.36x + 5.2 |

|b. |y = –0.6x – 0.4 |d. |y = 0.4x – 21.4 |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

2. Which is the solution of the system of equations graphed?

[pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

3. The table below shows the rates charged at a parking garage in Raleigh. Which equation models the maximum amount of time t you can park in the garage if you want to pay no more than $7.50?

|1st Hour |Each Additional Hour |

|$2.50 |$1.00 |

|a. |t + 1.5 ≤ 7.5 |c. |100t + 250 ≤ 7.5 |

|b. |t + 1.5 ≥ 7.5 |d. |3.5t ≥ 7.5 |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

4. The line y = 0.42x – 0.12 models the number of tourists x who visit a store compared to the number of those visitors y who make purchases. What is the significance of the slope of the line?

|a. |More than half of the tourists who visit the store make purchases. |

|b. |About 40% of the tourists who visit the store make purchases. |

|c. |There is a negative correlation between the variables. |

|d. |A linear equation is not a good model for the data. |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

5. Which is the equation of a line that passes through (–3, 7) and is parallel to the line 2x + y = 6?

|a. |y – 2x = –1 |c. |2x = 1 – y |

|b. |y = 2x + 1 |d. |y = –2x – 1 |

question type: polynomials ║ ┴ lines linear equations

systems of equations/inequalities scatter plots

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