NC Math 1

1 released Items Published October 2018. NC Math 1. North carolina End-of-Course Assessment public Schools of North carolina department of public Instruction | State board of education Division of Accountability Services/North carolina Testing Program Copyright 2018 by the North carolina department of public Instruction. All rights reserved. NC MATH 1 released ITEMS. 1 Which choice is the graph of y = (4 x)(x + 2)? A B. y y +8 +8. +. 7 +7. +6 +6. +5 +5. +4 +4. +3 +3. +2 +2. +1 +1. 8 7 6 5 4 3 2 1 0 +1 + 2 +3 +4 + 5 +6 + 7 + 8. x 8 7 6 5 4 3 2 1 0 + 1 + 2 + 3 +4 + 5 +6 +7 + 8. x 1 1. D. 2 2. 3 3. 4 4. 5. 6. 7. 8. SE 5. 6. 7. 8. EA. C D. EL. y y +8 +8. +7 +7. R. +6 +6. +5 +5. +4 +4. +3 +3. +2 +2.

2 +1 +1. 8 7 6 5 4 3 2 1 0 +1 + 2 +3 +4 + 5 +6 + 7 + 8. x 8 7 6 5 4 3 2 1 0 + 1 + 2 + 3 +4 + 5 +6 +7 + 8. x 1 1. 2 2. 3 3. 4 4. 5 5. 6 6. 7 7. 8 8. 1 Go to the next page. NC MATH 1 released ITEMS. 2 In which graph does the shaded region represent the solution set for the inequality shown below? 2x y < 4. A B. y y 10 10. 9 9. 8 8. D. 7 7. 6 6. 5. 4. 3. SE 5. 4. 3. 2 2. EA. 1 1. 0 x 0 x 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10. EL. C D. y y 10 10. R. 9 9. 8 8. 7 7. 6 6. 5 5. 4 4. 3 3. 2 2. 1 1. 0 x 0 x 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10. 2 Go to the next page. NC MATH 1 released ITEMS. 3 Which expression is equivalent to (x + 2)(3x 3)? A 3x2 6. B 3x2 + 3x 6. C 3x2 + 6x 6. D 3x2 + 9x 6.

3 D. SE. EA. EL. R. 3 Go to the next page. NC MATH 1 released ITEMS. Questions 4 through 6 are gridded response items that require you to write your answers in the boxes provided on your answer sheet. Write only one number or symbol in each box and fill in the circle in each column that matches what you have printed. Fill in only one circle in each column. 4 A line, y = mx + b, passes through the point (1, 6) and is parallel to y = 4x + 6. What is the value of b? D. 5 Two functions are shown below. SE. f(x) = 1 2x 2. EA. g(x) = 5x + 2. What is the largest integer value of x such that f(x) g(x)? EL. R. 6 A company models its net income, in thousands of dollars, with the function f(x) = 9x2 54x 144, where x is the number of units of its product sold.

4 How many units of its product does the company need to sell in order for the net income to equal $0? 4 Go to the next page. NC MATH 1 released ITEMS. 7 Joanna has a total of 50 coins in her purse. The coins are either nickels or quarters. The total value of the coins is $ Which system of equations can be used to determine the number of nickels, n, and quarters, q, that Joanna has in her purse? A n + q = 50. + = D. B n + q = 50n + 50q = C. D. + = 50. n + q = + = SE. EA. 50n + 50q = 8 The function f(x) = + 5 models the height of a candle x seconds after it is EL. lit. What is the meaning of the y-intercept of the function? A the initial height of the candle B the final height of the candle R.

5 C the rate at which the candle is burning D the amount of time it will take the candle to burn 5 Go to the next page. NC MATH 1 released ITEMS. Questions 9 and 10 are gridded response items that require you to write your answers in the boxes provided on your answer sheet. Write only one number or symbol in each box and fill in the circle in each column that matches what you have printed. Fill in only one circle in each column. 9 The total cost, in dollars, of membership in a fitness center is given by the function c(m) = 20m + 40, where m is the number of months a person is a member. In dollars, how much is the cost of a membership for 1 year? D. 10. SE. Water is being pumped into a 10-foot-tall cylindrical tank at a constant rate.

6 The depth of the water is increasing linearly. EA. At 1:30 , the water depth was feet. It is now 4:00 , and the depth of the water is feet. What will the depth (in feet) of the water be at 5:00 EL. R. 6 Go to the next page. NC MATH 1 released ITEMS. 11 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 $1,200, but no more than $1,850. D. Which system of inequalities represents these constraints? x 1 y + 20. A x . 2. 2. 3. y 1,200. y 1, 850. y + 80. SE. EA. y 1 x + 20.

7 2. 2. B y x + 80. 3. x 1,200. EL. x 1, 850. y 1 x + 20. 2. R. 2. C y x + 80. 3. x 1,200. x 1, 850. x 1 y + 20. 2. 2. D x y + 80. 3. y 1,200. y 1, 850. 7 Go to the next page. NC MATH 1 released ITEMS. 12 A company uses the formula T = 581s + 150p to determine the total cost to purchase s computers and p printers. Which formula can be used to determine the number of printers purchased, given the total cost, T, and the number of computers purchased? A p = T 581s 150. B p = T 581s 150. C p = T 581s 150. D. D p = T 581s 150. SE. EA. EL. R. 8 Go to the next page. NC MATH 1 released ITEMS. Questions 13 through 15 are gridded response items that require you to write your answers in the boxes provided on your answer sheet.

8 Write only one number or symbol in each box and fill in the circle in each column that matches what you have printed. Fill in only one circle in each column. 13 What is the value of the positive zero of the function, f, defined by f(x) = x2 121? D. 14 What is the value of x in the system of equations shown below? SE. 5x + 4y = 1. y=1 x EA. EL. 15 What is the value of the smaller zero of the function f(x) = 2x2 8x 24? R. This is the end of the calculator inactive released items. 9. NC MATH 1 released ITEMS. D. SE. EA. EL. R. 10. NC MATH 1 released ITEMS. 16 A statistician collected the following data to explore the relationship between two variables, x and y. x y D.. SE. The statistician performed a linear regression and also plotted the residuals.

9 Based on the residual plot, the statistician decided to exclude one data point. EA. The statistician then performed linear regression on the set of remaining data points. The result was that the new linear model fit the remaining data more closely than the original model fit the original data. EL. Which data point did the statistician exclude? A ( , ). R. B ( , ). C ( , ). D ( , ). 11 Go to the next page. NC MATH 1 released ITEMS. 17 A set of nine data points is shown below. 8, 11, 12, 10, 9, 7, 5, 3, 9. Which statement is true if a tenth data point of 45 is added to the data set? A The mean and median will both increase. B The mean will increase and the median will decrease. C The mean will increase and the median will remain the same.

10 D. D The mean and median will both decrease. SE. EA. EL. R. 12 Go to the next page. NC MATH 1 released ITEMS. Questions 18 and 19 are gridded response items that require you to write your answers in the boxes provided on your answer sheet. Write only one number or symbol in each box and fill in the circle in each column that matches what you have printed. Fill in only one circle in each column. 18 What is the distance, in units, between the y-intercept of f(x) = x2 + 7x 18 and the y-intercept of the linear function that passes through the points shown in the table below? x g(x).. 5 2. D. 10 11. 25. 60 SE 20. 41. EA. 19 What is the value of x in the equation shown below? EL. 2(x + 8) 4x = 10x + 4.