1 The function f(x) = 2(3) x was replaced with f(x) + k, b f(x) = 5x A triangle has the vertices T(2, 3) R(4, -1) and I(-1, -5).

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1 1 The function f(x) = 2(3) x was replaced with f(x) + k, resulting 6 in the Which function expression seen on is the equivalent graph below. to p 2-49? What is the value of k? a b c d (p-7)(p-7) (p-1)(p-49) (p-7)(p+7) (p+7)(p+7) 7 Which is the graph of the function g(x)= x 2 +x +6 2 The function C(m) = 2m + 8 represents the cost to rent m movies a month from an internet video club. Kimberly now has $5. How much more money will she need in order to rent 6 movies this month? 3 The larger leg of a right triangle is 7in longer than the smaller leg. The hypotenuse is 14in longer than the smaller leg. How many inches long in the smaller leg? 4 Bob and Daryl are playing a game. - Both Bob and Daryl have 4 points to start the game. - At the end of each turn, Bob s points are doubled. 8 The - At the length end of of a each rectangular turn, Daryl s garden points is three are increased times with by width, 10. w. At the Farmer start Robbins of which will turn increase will Bob both have the more length points and the than width Daryl? of his garden this year by 5 feet. Which equation represents the new area, A, of his garden? 5 Bart ran feet in 30 minutes. Roger ran 1 mile in 10 minutes. How much faster a was w 2 +20w+10 Roger? (1 mile = 5280 feet) A line Internet segment Company has endpoints A charges L(-2, 5) $5 and a month N(6, 11). plus The $0.05 per point M is the midpoint minute, of LN. x. Internet What is Company equation B charges of a line $0.10 per minute, perpendicular to LN but and does passing not charge through a start-up M? fee like Company A does. Which a function y = -4/3x represents + 32/3 the difference in cost between Company b y = A -4/3x and Company + 16/3 B? c a y = 3/4x f(x) + = 13/2 5x d y = 3/4x + 19/2 b f(x) = 5x A triangle has the vertices T(2, 3) R(4, -1) and I(-1, -5). c f(x) = 0.05x - 5 What is the approximate perimeter of the triangle? a d 15 f(x) = -0.05x Sara b did 16.3 an experiment to compare two methods of cooling c an 18 object. The results are shown in the table below. d Time (minutes) The table below Method shows the 1 Temp population Method of several 2 Temp cities. City (Fahrenheit) Population (Fahrenheit) Wooster Madison Findley 2100 Popperton Foxton Zabbaton What would happen to the data set if Tooneyville, with a population of 200, was added to the data? Which statement best describes her results? a The standard deviation increases. a. The temperature b using The Method interquartile 1 changed range exponentially. decreases. b. The temperature c using The Method mean increases. 1 changed at a constant rate. c. The temperature using The Method range decreases. 2 changed exponentially. d d.the temperature using Method 2 changed at a constant rate.

2 Common Core Algebra I/Integrated I Practice EOC: Test #2 Please use this as you see fit for review as a classroom tool a homework packet group work or centers I hope that you find it useful in your endeavors to help your students be as successful as possible! Questions #1-15 are calculator INACTIVE Questions #16 50 are calculator ACTIVE

3 CALCULATOR INACTIVE 1 Samantha s ride to school is 4 minutes more than 2/3 Tom s travel time. Which graph shows the possible times of Samantha s and Tom s rides to school? 2 Which situation is correctly modeled by the graph below. a.the number of pounds of candy corns,y, minus the number of chocolates, x, is at least 6 pounds. b.the number of pounds of candy corns, y, minus the number of chocolates, x, is at most 6 pounds. c.the number of pounds of candy corns, y, plus the number of chocolates, x, is at least 6 pounds. d.the number of pounds of candy corns, y, plus the number of chocolates, x, is at most 6 pounds.

4 3 Which expression is equivalent to 9p 2-100? a b c d (3p-10)(3p-10) (9p-10)(p-10) (3p-10)(3p+10) (3p+10)(3p+10) 4 Which is the graph of the function g(x)= x 2 + 2x 8 5 The length of a rectangular garden is three feet longer than the width, w. Farmer Chuck will increase both the length and the width of his garden this year by 7 feet. Which equation represents the new area, A, of his garden? a A = w 2 +17w+17 b A = 4w+34 c A = 4w 2 +17w+34 d A = w 2 +17w+70

5 Questions 6 through 15 are NOT multiple choice and require you to write your answers on your answer sheet. Answers should include unit measurements when appropriate. 6 Two students were racing home from school. Paul rides his skateboard and Kevin rides his bicycle. Paul leaves 20 seconds before Kevin. Paul traveled at a speed of 12 feet per second. Kevin traveled at a speed of 22 feet per second. For how many seconds had Paul traveled when both boys were the same distance from school? 7 The Athletic Boosters sells t-shirts to raise money for the prom. The profit from sales of 20 short sleeve t-shirts and 50 long sleeve t-shirts is $215. Profit from sales of 10 short sleeve t-shirts and 40 long sleeve t-shirts is $160. How much profit do they earn for each long sleeve t-shirt sale? 8 What is largest of three consecutive positive integers if the product of the smaller two integers is 28 less than the third integer squared? 9 The function h(t)= -16t 2 +16t+96 represents the height of a cannon ball in feet t seconds after it is shot from a cannon. How many seconds does it take the cannonball to hit its target on the ground? 10 The sum of twice Patty s age and her mother s age is 74. Her mother s age is 14 more than three times Patty s age. What is Patty s age?

6 11 The function f(x) = 2(3) x was replaced with f(x) + k, resulting in the function seen on the graph below. What is the value of k? 12 The function C(m) = 2m + 8 represents the cost to rent m movies a month from an internet video club. Kimberly now has $5. How much more money will she need in order to rent 6 movies this month? 13 The larger leg of a right triangle is 7in longer than the smaller leg. The hypotenuse is 14in longer than the smaller leg. How many inches long in the smaller leg? 14 Bob and Daryl are playing a game. - Both Bob and Daryl have 4 points to start the game. - At the end of each turn, Bob s points are doubled. - At the end of each turn, Daryl s points are increased by 10. At the start of which turn will Bob have more points than Daryl? 15 Bart ran feet in 30 minutes. Roger ran 1 mile in 10 minutes. In miles per hour, how much faster was Roger? (1 mile = 5280 feet)

7 THIS IS THE END OF THE CALCULATOR INACTIVE PART OF YOUR TEST! PLEASE RAISE YOUR HAND SO YOUR TEACHER CAN PROVIDE YOU WITH A CALCULATOR! 16 Which expression is equivalent to? a 9a 4 b 2 b 3a 3/4 b 3/2 c 27a 4/3 b 2/3 d 3a 4/3 b 2/3 17 An office purchases boxes of calculators. Each box contains 30 calculators. Each box costs $300. How much does the office have to sell each calculator to make a $300 profit on each box? a. $10 b. $15 c. $20 d. $30 18 Power and Work are related by the equation P = W/t ; where W is the work and t is the amount of time the work is done on an object. Which equation gives W in terms of P and t? a b c d W = Pt W = P/t W = t/p W = PWt 19 Suppose that the equation V = 20x 2-300x describes the value of a car from 1980 to What year did the car have the least value? (x = 0 is 1980) a 1984 b 1985 c 1986 d 1987

8 20. Which expression is equivalent to (x 1/4 ) -16? a. 1/x 1 b. x 1 c. 1/x 4 d. x 4 21 The table below shows the average height of a tree and the amount of years that it has been growing. Time (years) Height (in feet) What is the average rate of change in height of the tree from Year 10 to Year 14? a. 1 foot per year b feet per year c. 1.5 feet per year d. 2.0 feet per year 22 Joey compared the y-intercept of the graph of the function f(x) = 2x + 3 to the y- intercept of the graph of the linear function that includes the points in the table below. X g(x) What is the difference when the y-intercept of g(x) is subtracted from the y-intercept of f(x)? a. -12 b. -2 c. 2 d. 12

9 23 Internet Company A charges $10 a month plus $0.01 per minute, m. Internet Company B charges $0.05 per minute, but does not charge a start-up fee like Company A does. Which function represents the difference in cost between Company A and Company B? a C(m) = 10m b C(m) = 10m c C(m) = 10.04m d C(m) = -0.04m Sara did an experiment to compare two methods of cooling an object. The results are shown in the table below. Time (minutes) Method 1 Temp (Fahrenheit) Method 2 Temp (Fahrenheit) Which statement best describes her results? a.the temperature using Method 1 changed exponentially. b.the temperature using Method 1 changed at a constant rate. c.the temperature using Method 2 changed exponentially. d.the temperature using Method 2 changed at a constant rate. 25 Paul compared the slope of the function shown below to that of a linear function with an x-intercept of 4 and a y-intercept of -8. What is the slope of the function with the smaller slope? a. -1 b. -1/2 c. ½ d. 1

10 26 The boiling point of water, T(measured in degrees Celcius), at an altitude, a (measured in feet), is modeled by the function T(a)= a In terms of altitude and temperature, which statement described the meaning of the y-intercept. a The boiling point of water at an altitude of feet is 100 degrees. b The boiling point of water at an altitude of 0 is 100 degrees. c The boiling point of water at an altitude of 0 is 18 degrees. d The boiling point of water at an altitude of 100 feet is degrees. 27 A line segment has endpoints L(-2, 5) and N(6, 11). The point M is the midpoint of LN. What is an equation of a line perpendicular to LN and passing through M? a y = -4/3x + 32/3 b y = -4/3x + 16/3 c y = 3/4x + 13/2 d y = 3/4x + 19/2 28 A triangle has the vertices T(2, 3) R(4, -1) and I(-1, -5). What is the approximate perimeter of the triangle? a 15 b 16.3 c 18 d The table below shows the population of several cities. City Population Wooster 2000 Madison 3000 Findley 2100 Popperton 500 Foxton 1500 Zabbaton 4000 What would happen to the data set if Tooneyville, with a population of 200, was added to the data? a The standard deviation increases. b The interquartile range decreases. c The mean increases. d The range decreases.

11 30 East Reynolda High School interviewed 2500 students to determine if they preferred chocolate, candy canes, or marshmellows best with their hot chocolate in the winter. The results are shown in the relative frequency table below. Chocolate Candy Canes Marshmellows Freshmen Sophomores Juniors Seniors How many more juniors than sophomores participated in the survey? a. 150 b. 200 c. 250 d The West Stokes Dance club has 100 members this year. Only Freshmen and Sophomores are allowed to be members to help get them involved in the school while they are still young. When this group was surveyed about their preference between free style and choreographed dances the results are as shown in the relative frequency table below: Grade Free Style Choreographed Total Freshmen Sophomores Total Which statement is true? a. 16 more freshmen prefer Choreographed dances to Free Style dances. b. 58 students prefer Choreographed dances c. 46 of the students in the club are Freshmen. d. Freshmen prefer Choreographed dances.

12 32 The table below shows the amount cars having been through the gas station for the hours it is open. Hours Open Cars a b c d What is the meaning of the slope of the linear model for the data? The gas station is open 20 hours for every car it serves. The gas station serves 1 car every 20 minutes. The gas station serves 60 cars per hour. The gas station serves 20 cars per hour. 33 The area of a trapezoid is found using the formula A = 1/2h(b1 + b2), where A is the area, h is the height, and b1 and b2 are the lengths of the bases. What is the area of the above trapezoid? a 8x +2 b 40x + 10 c 13x + 7 d 50x

13 34 The Cloths for Tots company makes shorts and shirts for toddlers. - The company can make between shorts each day. - The company can make between shirts each day. - A total of less than 400 shorts and shirts are made each day. - Each pair of shorts brings a profit of $ Each shirt brings a profit of $0.50. What is the maximum profit the company can make each day? a $ b $548 c $ d $ Simon mixed peanuts and cashews. -He bought 6 pounds of cashews for $8.00 a pound. -The cost per pound of peanuts is 20% of the cost of cashews. -Hector bought enough peanuts to make a mixture that cost $3.36 per pound. What is the approximate percentage of the peanuts in the mixture? a. 40% b. 50% c. 60% d. 70% 36 Elise and Abby are both saving money for their trip. The table below shows the models for the amount of money Elise and Abby saved after x weeks. Elise e(x) = 5x + 20 Abby a(x) = 11x + 2 After how many weeks will Elise and Abby have the same amount of money? a b c d 2 weeks 3 weeks 4 weeks 5 weeks

14 37 Bart noticed that there are multiple combinations of quarters and dimes that add up to $1.25. Let x be the number of dimes. Let y be the number of quarters. What is the domain where y is a function of x and the total value of the coins is $1.25? a {0,1,2,3,4,5,6,7,8,9,10,11,12,13} b {1,2,3,4,5,6,7,8,9,10,11,12,13} c {0,5,10} d {5,10} 38 The value of an antique toy car is modeled by the function V(t) = 5(1.008) (1/2t) where t is the number of years since Approximately what percentage rate is the value of the radio increasing each year? a.10% b.20% c.30% d.40% 39 The table below shows the cost of a sub sandwich based on the number of extras ordered. Number of Cost (C) Extras (n) 1 $ $ $ $7.00 Which function represents the cost of a sub sandwich with n extras added on? a C(n) =.50n + 5 b C(n) =.50n c C(n) = 5n +.50 d C(n) =.50n

15 40. Barbara makes baby blanket and cuddlers to sell at craft shows. - Each baby blanket takes 2 yards of fabric and 1 spool of thread. - Each cuddler takes 1 yard of fabric and ½ spool of thread. - Barbara has 11 yards of fabric and 6 spools of thread. - Each blanket makes her $3.00 in profit. - Each cuddler makes her $1.00 in profit. What is the amount of blankets she should make to get the greatest profit with the materials she already has on hand? a. 3 b. 4 c. 5 d The sequence below shows how many bushes Mitchell s nursery planted each year. 8, 4, 2, 1, Which formula could be used to determine the number of trees the nursery will plant next year, NEXT, if the number of bushes planted this year, NOW, is known? a. NEXT = Now * 1/2 b. NEXT = 2 * NOW + 4 c. NEXT = Now * 2 d. NEXT = NOW There were originally 10 bushes in Mitchell s nursery. Each year the Mitchells planted the same number of bushes. In the 18th year, there were 280 bushes. Which function b(n), can be used to determine the number of bushes in the nursery in any particular year? a b(n) = 15n + 10 b b(n) = 18n - 10 c b(n) = 280/18n + 10 d b(n) = 18n + 10

16 43 The vertices of quadrilateral ABCD are A(1,3), B(1, 1), C(-1, 1), and D(-1, 3). What kind of quadrilateral is ABCD? a Trapezoid b Rectangle that is not a square c Rhombus that is not a square d Square 44 C is the midpoint of line segment AB. D is the midpoint of line segment CB. A is located at (-2, -6) and B is at (10, 8). What are the coordinates of D? a. (4,1) b. (7, 4.5) c. (1, -2.5) d. (3, -1) 45 The sequence below shows the total number of days Katrina went swimming by the end of weeks 1, 2, 3, and 4 of her new workout routine. 3, 5, 7, 9, Which function could be used to find the total number of days Katrina swims at the end of week, w, if her pattern continues? a S(w) = 5w - 2 b S(w) = 2w + 1 c S(w) = w + 2 d S(w) = 5w The circumference of a circle is approximately inches. What is the approximate diameter of the circle? (Circumference = 2πr) a 3 in b 4 in c 6 in d 8 in

17 47 The number of points scored by a football team in the first eight games of the season are shown below. 7, 14, 13, 7, 21, 35, 7, 10, 14 What would happen to the data distribution if the team scored 10, 14, 14 in their next 3 games? a The mode would increase. b The range would increase. c The mean would increase. d The data would remain the same because they have scored these amounts before. 48 The table below shows the pants size and age of 5 boys. Pants Size (Toddler Age (years) Sizes - T) Approximately what percent of the boys ages is more than 1 year different from the age predicted by the line of best fit? a 20% b 40% c 60% d 80%

18 49 The scatterplot below shows the number of division errors students made on a test and the amount of time they took to take the test. Which statement best describes the graph shown above? a b c d There is a strong positive relationship between the variables. There is a strong negative relationship between the variables. There is a weak positive relationship between the variables. There is a weak negative relationship between the variable. 50 A white water raft can hold a maximum of 1000 pounds. What would be the best measure of the people s weight to know if an entire party can go on a white water trip? a Median b Mode c Mean d Range

19 Algebra I/Integrated I READY End-of-Course Practice Assessment #2-ANSWER KEY Calculator Inactive Calculator Active 1. D 2. D 3. C 4. A 5. D D 17. C 18. A 19. D 20. C 21. D 22. B 23. D 24. B 25. D 26. B 27. A 28. D 29. A 30. B 31. C 32. D 33. B 34. C 35. D 36. B 37. C 38. D 39. A 40. C 41. A 42. A 43. D 44. B 45. B 46. D 47. A 48. A 49. C 50. C

20 Algebra I/Integrated I READY End-of-Course Practice Assessment #2 Calculator Inactive Answers Name: Algebra I/Integrated I READY End-of-Course Practice Assessment#2 Calculator Active Answers Name:

21 Algebra I/Integrated I READY End-of-Course Practice Assessment #2 Common Core Question Alignment **All questions aligned with the Common Core Standards for High School Math ** 1. Algebra (CED.A.2) 2. Algebra (CED.A.2) 3. Algebra (APR.A.1) 4. Functions (IF.B.4) 5. Algebra (APR.A.1) 6. Algebra (CED.A.1) 7. Algebra (REI.C.5) 8. Algebra (REI.B.4b) 9. Functions (IF.C.8a) 10. Algebra (REI.C6) 11. Functions (IF.C7e) 12. Functions (IF.A2) 13. Functions (IF.C8a) 14. Functions (LE.A.2) 15. Num.&Quan (NQ.A1) 16. Num.&Quan (RN.A1) 17. Algebra (CED.A.2) 18. Algebra (CED.A.1) 19. Functions (IF.B.4) 20. Num.&Quan (RN.A.1) 21. Functions (IF.B.6) 22. Functions (IF.C.9) 23. Functions (IF.A.2) 24. Functions (LE.A.1a) 25. Functions (LE.C.9) 26. Functions (IF.B.4) 27. Geometry (GPE.B.5) 28. Geometry (GPE.B.7) 29. Stats&Prob (ID.A.3) 30. Stats&Prob (IC.B.6) 31. Stats&Prob (IC.B.6) 32. Stats&Prob (ID.C.7) 33. Algebra (APR.A.1) 34. Algebra (CED.A.3) 35. Algebra (CED.A.3) 36. Algebra (REI.D.11) 37. Functions (IF.A.1) 38. Functions (IF.B.4) 39. Functions (BF.A.1a) 40. Algebra (CED.A3) 41. Functions (BF.A.2) 42. Functions(BF.A.1) 43. Geometry (GPE.B.4) 44. Geometry (GPE.B.6) 45. Functions(BF.A.1) 46. Geometry (GMD.A.3) 47. Stats&Prob (ID.A.3) 48. Stats&Prob (ID.B.6a) 49. Stats&Prob (ID.B.6c) 50. Stats&Prob (IC.A.1)

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