1 Which expression is equivalent to p 2-49?

Transcription

1 1 Which expression is equivalent to p 2-49? a (p-7)(p-7) b (p-1)(p-49) c (p-7)(p+7) d (p+7)(p+7) 2 Which is the graph of the function g(x)= x 2 +x Internet Company A charges $5 a month plus $0.05 per minute, x. Internet Company B charges $0.10 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? f(x) = 5x f(x) = 5x f(x) = 0.05x - 5 f(x) = -0.05x Sara did an experiment to compare two methods of cooling an object. The results are shown in the table below. 3 The length of a rectangular garden is three times with width, w. Farmer Robbins will increase both the length and the width of his garden this year by 5 feet. Which equation represents the new area, A, of his garden? a w 2 +20w+10 b 3w+10 c 3w 2 +20w+25 d w 2 +10w+15 Time (minutes) Method 1 Temp Method 2 Temp (Fahrenheit) (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.

2 Common Core Algebra I/Integrated I Practice EOC: Test #1 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 Kristi s ride to school is 3 minutes more than ½ BriAnne s travel time. Which graph shows the possible times of Kristi s and BriAnne s rides to school? 2 Which situation is correctly modeled by the graph below: a.the number of pounds of pecans,y, minus the number of walnuts, x, is at least 8 pounds. b.the number of pounds of pecans, y, minus the number of walnuts,x, is at most 8 pounds. c.the number of pounds of pecans, y, plus the number of walnuts, x, is at least 8 pounds. d.the number of pounds of pecans, y, plus the number of walnuts, x, is at most 8 pounds.

4 3 Which expression is equivalent to p 2-49? a (p-7)(p-7) b (p-1)(p-49) c (p-7)(p+7) d (p+7)(p+7) 4 Which is the graph of the function g(x)= x 2 +x +6 5 The length of a rectangular garden is three times with width, w. Farmer Robbins will increase both the length and the width of his garden this year by 5 feet. Which equation represents the new area, A, of his garden? a w 2 +20w+10 b 3w+10 c 3w 2 +20w+25 d w 2 +10w+15

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. Eric rides his skateboard and Robby rides his bicycle. Eric leaves 40 seconds before Robby. Eric traveled at a speed of 10 feet per second. Robby traveled at a speed of 30 feet per second. For how many seconds had Eric traveled when the both boys were the same distance from school? 7 The prom committee sells t-shirts to raise money for the prom. The profit from sales of 80 short sleeve t-shirts and 100 long sleeve t-shirts is $320. Profit from sales of 80 short sleeve t-shirts and 75 long sleeve t-shirts is $270. How much profit do they earn for each short sleeve t-shirt sale? 8 What is largest of three consecutive positive integers if the sum of the smaller two integers is The function h(t)= -16t 2 +32t+128 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 Elliot s age and twice Zane s age is 44. The difference of twice Elliot s age and Zane s age is -2. What is Elliot s age?

6 11 The function f(x) = 3(4) 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) = 3m + 10 represents the cost to rent m movies a month from an internet video club. Kimberly now has $8. How much more money will she need in order to rent 8 movies this month? 13 The larger leg of a right triangle is 4in longer than the smaller leg. The hypotenuse is 8in longer than the smaller leg. How many inches long in the smaller leg? 14 Beth and Doug are playing a game. - Both Beth and Doug have 200 points. - At the end of each turn, Beth s points are doubled. - At the end of each turn, Doug s points are increased by 400. At the start of which turn will Beth have more points than Doug? 15 Bart ran feet in 30 minutes. Rebecca ran 1 mile in 5 minutes. In miles per hour, how much faster was Rebecca? (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 4a 4 b 2 b 4a 3/4 b 3/2 c 64a 4/3 b 2/3 d 4a 4/3 b 2/3 17 An office purchases boxes of chocolates. Each box contains 100 chocolate bears. Each box costs $20. How much does the office have to sell each chocolate bear to make a $15 profit on each box? a. $0.20 b. $0.35 c. $2.86 d. $ Force and acceleration are related by the equations F= ma, where m is the mass and a is the acceleration of the object. Which equation gives m in terms of F and a? a b c d m = Fa m = F/a m = a/f m = Fma 19 Suppose that the equation V = 40x 2-500x describes the value of a car from 1960 to What year did the car have the least value? (x = 0 is 1960) a 1965 b 1966 c 1967 d 1968

8 20. Which expression is equivalent to (x 1/2 ) -2? 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 1 to Year 5? 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) = 5x + 7 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 f(x) is subtracted from the y-intercept of g(x)? a. -12 b. -2 c. 2 d. 12

9 23 Internet Company A charges $5 a month plus $0.05 per minute, x. Internet Company B charges $0.10 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 f(x) = 5x b f(x) = 5x c f(x) = 0.05x - 5 d f(x) = -0.05x 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 -2. 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), 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 212 degrees. b The boiling point of water at an altitude of 0 is 212 degrees. c The boiling point of water at an altitude of 0 is degrees. d The boiling point of water at an altitude of 212 feet is degrees. 27 A line segment has endpoints L(3, 7) and N(5, 9). The point M is the midpoint of LN. What is an equation of a line perpendicular to LN and passing through M? a y = -x + 12 b y = -x - 12 c y = -x + 4 d y = -x A triangle has the vertices T(2, 3) R(4, -1) and I(-1, -5). What is the approximate perimeter of the triangle? a 10 b 13 c 16 d The table below shows the population of several cities. City Population Waldo Mercy Frankfurt Pillbox 500 Fairfield Zooland Pineytown What would happen to the data set if Tinkerton, with a population of 50000, was added to the data? a The standard deviation decreases. b The interquartile range decreases. c The range decreases. d The mean increases.

11 30 West Fairfield High School interviewed 1500 students to determine if they preferred ice skating, skiing, or snowboarding. The results are shown in the relative frequency table below. Ice Skating Skiing Snowboarding Freshmen Sophomores Juniors Seniors How many more juniors than sophomores participated in the survey? a. 75 b. 300 c. 375 d The West Stokes Music club has 200 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 Rap/HipHop and Rock the results were as shown in the relative frequency table below: Grade Rap/Hip Hop Rock Total Freshmen Sophomores Total Which statement is true? a. 60 more sophomore students prefer Rap and Hip Hop than prefer Rock. b. 156 students prefer Rock. c. 108 of the students in the club are Freshmen. d. Freshmen prefer Rock.

12 32 The table below shows the amount of shoes purchased at Shoes Unlimited. Hours Open Pairs of Shoes Purchased a b c d What is the meaning of the slope of the linear model for the data? The store sells 30 pairs shoes every hour. The store sells 15 pairs shoes every hour. The store sells 15 pairs shoes every two hours. The store sells 1 pair of shoes every 15 hours. 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 -x - 1 b 2x + 2 c 5x + 5 d 6x + 6

13 34 The Measure-U-Up company makes rulers and yardsticks. - The company can make between rulers each day. - The company can make between yardsticks each day. - A total of less than 1100 rulers and yardsticks are made each day. - Each ruler brings a profit of $ Each yardstick brings a profit of $0.25. What is the maximum profit the company can make each day? a $ b $ c $ d $ Hector mixed peanuts and cashews. -He bought 5 pounds of cashews for $9.00 a pound. -The cost per pound of peanuts if 40% of the cost of cashews. -Hector bought enough peanuts to make a mixture that cost $5.76 per pound. What is the approximate percentage of the peanuts in the mixture? a. 40% b. 50% c. 60% d. 70% 36 Franky and Arthur are both saving money for their vacation. The table below shows the models for the amount of money Franky and Arthur saved after x weeks. Franky f(x) = 6x + 10 Arthur a(x) = 8x + 2 After how many weeks will Franky and Arthur have the same amount of money? a b c d 2 weeks 3 weeks 4 weeks 5 weeks

14 37 Bobby noticed that there are multiple combinations of nickels and dimes that add up to $0.75. Let x be the number of nickels. Let y be the number of dimes. What is the domain where y is a function of x and the total value of the coins is $0.75? a {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} b {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} c {0, 1, 3, 5, 7, 9, 11, 13, 15} d {1, 3, 5, 7, 9, 11, 13, 15} 38 The value of an antique radio is modeled by the function V(t) = 150(1.004) (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 coffee based on the number of extras ordered. Number of Cost (C) Extras (n) 1 $ $ $ $4.25 Which function represents the cost of a coffee with n extras added on? a C(n) =.75n b C(n) =.75n + 2 c C(n) = 2n +.75 d C(n) =.75n

15 40. Nancy makes bracelets and necklaces and sells them at craft shows. - Each bracelet takes one string and 50 beads. - Each necklace takes two strings and 150 beads. - Nancy has 10 strings and 650 beads. - Each necklace makes her $2.00 in profit. - Each bracelet makes her $0.75 profit. What is the amount of necklaces she should make to get the greatest profit? a. 1 b. 2 c. 3 d The sequence below shows how many bushes Mitchell s nursery planted each year. 3, 9, 27, 81, 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 * 1/3 b. NEXT = 2 * NOW + 3 c. NEXT = Now * 3 d. NEXT = NOW There were originally 5 bushes in the nursery. Each year the Mitchells planted the same number of trees. In the 25th year, there were 205 bushes. Which function b(n), can be used to determine the number of bushes in the nursery in any particular year? a b(n) = 5n b b(n) = 8n + 5 c b(n) = 205/25n + 5 d b(n) = 25n - 5

16 43 The vertices of quadrilateral ABCD are A(4, 2), B(4, -2), C(-2, -2), and D(-2, 2). 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 X is the midpoint of line segment WZ. Y is the midpoint of line segment XZ. W is located at (12, 8) and Z is at (0, -4). What are the coordinates of Y? a. (6, -1) b. (6, 2) c. (3, 3) d. (3, -1) 45 The sequence below shows the total number of days Emily went running at the end of weeks 1, 2, 3, and 4 of her new running routine. 3, 8, 13, 18, Which function could be used to find the total number of days Emily runs at the end of week n if her pattern continues? a r(n) = 5n - 2 b r(n) = 2n + 1 c r(n) = n + 2 d r(n) = 5n The circumference of a circle is approximately cm. What is the approximate diameter of the circle? (Circumference = 2 πr) a 3 cm b 4 cm c 6 cm d 8 cm

17 47 The number of points scored by a basketball team in the first eight games of the season are shown below. 54, 62, 67, 58, 46, 71, 80, 61 What would happen to the data distribution if the team scored 42, 59, 62, 63, and 65 in their next 5 games? a The data distribution would become less peaked and more widely spread. b The data distribution would become less peaked and less widely spread. c The data distribution would become more peaked and less widely spread. d The data distribution would become more peaked and more widely spread. 48 The table below shows the shirt size and age of 6 girls. Shirt Size (Toddler Age (years) Sizes - T) Approximately what percent of the girls ages is more than 1 year different from the age predicted by the line of best fit? a 17% b 33% c 50% d 67%

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 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 An enclosed ski lift can hold a maximum of 1200 pounds. Six people want to ride the ski lift together. Libby has some measures from the data of how much each person weighed including their equipment. Which measure would be the most useful to determine if the people can safely use the ski lift together? a Mean b Median c Mode d Range

19 Algebra I/Integrated I READY End-of-Course Practice Assessment #1-ANSWER KEY Calculator Inactive Calculator Active 1. A 2. D 3. C 4. D 5. C seconds 7. $ seconds k = $ Turn miles per hour 16. D 17. B 18. B 19. B 20. A 21. C 22. B 23. D 24. A 25. C 26. B 27. A 28. D 29. D 30. A 31. A 32. B 33. D 34. B 35. C 36. C 37. D 38. B 39. A 40. D 41. C 42. B 43. B 44. D 45. A 46. C 47. D 48. A 49. B 50. A

20 Algebra I/Integrated I Algebra I/Integrated I READY End-of-Course READY End-of-Course Practice Assessment #1 Practice Assessment #1 Calculator Active Answers Calculator Inactive Answers Name: Name:

21 Algebra I/Integrated I READY End-of-Course Practice Assessment #1 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)