Algebra 1 EOC Homework Packet Name:_______________Linear Review Day 1: Due Thursday, May 17

1. Jim is selling hot dogs at a ball game. It cost Jim $250 to purchase everything to make the hot dogs. Jim sells hot dogs for $2.00 each. If he sells h hot dogs, which equation models his profit (P)?

A. B. C. D.

2. Which of the following equations describes the data in the table below?

A. B. C. D.

3. The following data compares the heights and weights of 5 people.

Which of the following equations best represents the data?

A. B. C. D.

4. The cost of a large pizza is given by the formula , where C(t) is the cost of the

pizza and t is the number of topings. What does the slope represent?

A. number of toppingsB. cost per sliceC. cost of each toppingD. cost of the pizza with no toppings

5. Denisha bought a car for $15,000. The value depreciates linearly. After 3 years the value is $11,250. What is the amount of yearly depreciation?

A. $2,000 B. $1,500C. $1,250 D. $750

6. In 1977, the price of a scientific calculator was $175. In 2004, the price was $15. Assuming the change in price was linear, what was the approximate price of a scientific calculator in 1998?

A. $23.00 B. $27.00C. $51.00 D. $60.00

7. The table contains data about the cost of telephone calls to Sydney Australia. The long-distance service charges a connection fee plus a certain amount per minute. What is the connection fee charged for each call?

Time (min) Cost (¢)1 17.95 49.58 73.211 96.920 168.0

A. 5¢ B. 7.9¢ C. 10¢ D. 17.9¢

x (% of reduction (or increase) in dietary fat) -6 -4 -2 1 5

y (weight loss (or gain) in pounds) -15 -11 -7 -1 7

Linear Review Day 2: Due Friday, May 18

8. Hooke’s law states that the distance a vertical spring stretches varies directly with the weight hanging from it. A spring stretches 14 inches when a 35-pound weight is hanging from it. How much weight is needed to stretch the spring 44 inches?

A. 110 pounds B. 65 poundsC. 17.6 pounds D. 11.1 pounds

9. What is “7 less than 3 times c” represented as an algebraic expression?

A. B. C. D.

10. When x is 3, and y is 12. If y varies directly as x, which equation relates x and y?

A. B.

C. D.

11. For the line , where and , what change would occur if b is multiplied by -1 and m remains the same?

A. The y-intercept would become negative.

B. The slope would become negative.

C. The resulting line would be perpendicular to the original line.

D. The resulting line would be parallel to the original line.

12. Suppose that y varies directly as x, and when . What is the value of y when ?

A. 2.8 B. 10C. 17.5 D. 35

13. Mark burns 34 calories when he plays volleyball for 10 minutes. If he plays for 15 minutes, he burns 51 calories. How fast is Mark burning calories?

A. calories per minute

B. calories per minute

C. calories per minute

D. calories per minute

14. A line has a slope of and y-intercept of -4. Which of the following is the equation of the line?

A. B. C. D.

15. Kirin has d dimes and q quarters. Which of the following expressions gives the value of Kirin’s money in pennies?

A. B. C. D.

16. Which algebraic equation represents “three less than twice a number is the same as nine more than five times the number”?

A. B. C. D.

Matrices Review: Due Monday, May 21

17. The Baltic Sea covers 147,500 square miles of area and has an average depth of 180 feet. The North Sea covers 164,900 square miles of area and has an average depth of 308 feet. The Red Sea has an area of 174,900 square miles and has an average depth of 1,764 feet. The East China Sea has an area of 256,600 square miles and an average depth of 620 feet. Which matrix displays this information organized by area and depth of each sea?

A.

B.

C.

D.

18. Matrix G shows the number of students at a gym in the year 2000. Matrix M shows the number of students at the same gym in 2005.

Which matrix represents the change from 2000 to 2005?

A. B.

C. D.

19. The matrix below displays the average SAT scores of eleventh- and twelfth-grade students over a three-year period at a high school.

What was the change in average SAT scores of the twelfth-graders from 1998 to 2000?

A. Scores increased by 225 points.B. Scores increased by 89 points.C. Scores decreased by 225 pointsD. Scores decreased by 89 points.

20. This matrix shows the cost of cell phone service offered by several different companies.

What is the cost of 320 minutes with Company 4?

A. $37.20 B. $45.00C. $49.20 D. $75.00

21. Given the matrices

What is 4J – 2K?

A. B. C. D.

Systems of Equations & Inequalities Review: Due Tuesday, May 2222. A region is defined by the following system.

In which quadrants of the coordinate plane is the region located?

A. I, II, III B. II, IIIC. III, IV D. I, II, III, IV

23. Amy is 35 years older than her daughter Sarah. In five years Amy will be twice as old as Sarah will be. How many years old is Sarah now?

A. 15 B. 30C. 25 D. 20

24. The perimeter of a rectangular garden is 42 feet. The length of the garden is 5 feet more than twice the width. Which system of equations will determine the length (l) and the width (w) of the garden?

A. B.

C. D.

25. Joan bought a total of 30 cans of cola and root beer. There were twice as many cans of cola as cans of root beer. Which system of equations will determine the number of cans of cola (c) and the number of cans of root beer (r) that Joan bought?

A. B.

C. D.

26. Chris bought 2 chicken sandwiches and 3 bowls of vegetable soup for $16.50, not including tax. Jim bought 1 chicken sandwich and 2 bowls of vegetable soup for $9.50, not including tax. What was the cost of a bowl of soup?

A. $5.50 B. $4.50C. $3.25 D. $2.50

27. Solve: if

A. B. {1, 2, 3}C. {-2, -1, 0, 1, 2, 3}D. {-3, -2, -1, 0, 1, 2, 3}

Exponential Functions Review: Due Wednesday, May 23

28. The distance, d, from Earth to the sun is approximately miles. The speed of light, c, is approximately

miles per second. The equation can be used to find the time, t, for light to reach Earth from the sun. How long, in seconds, does it take light to travel from the sun to the Earth?

A. seconds B. secondsC. seconds D. seconds

29. The population of a town is 345,000. The function gives the predicted population of

the town in t years. Approximately what will the population be in 3 years?

A. 350,000 B. 600,000C. 700,000 D. 1,250,000

30. A chemist presented this graph to local government officials who needed to know the rate at which trash decays inside a landfill.

Which is the correct interpretation of the rate of decay?

A. Half of the trash will decay every year.B. Half of the trash will decay every two years.C. Half of the trash will decay every three yearsD. Half of the trash will decay every six months.

31. Each year, Cathy invests $1,200 in her account. The account pays an interest rate of 6.3%. The formula to calculate the balance in her account is

, where

A is the amount invested per year, r is the interest rate, and n is the number of years investing.

Approximately how much will Cathy have in her account after 45 years?

A. $217,000 B. $248,000C. $279,000 D. $297,000

32. Local scientists have been asked to study the population of gnats around a lake. After five days, the scientist generated these results:

Day 1 2 3 4 5Gnats 4 16 64 256 1,024

How can the data best be described?

A. The population doubles daily.B. The population quadruples dailyC. The population increases by 4 dailyD. The population increases daily by squaring.

33. Alan won $2,000 in an essay contest. He invested the money in a savings account which pays 6% interest compounded annually. Consider the formula:

, where

A(t) is the accumulated amount at time tAo is the amount of invested at time t = 0,r is the interest rate, and t is the time in years.

What is Alan’s investment worth after two years?

A. $240 B. $247C. $2,240 D. $2,247

Quadratic Functions Review: Due Thursday, May 24

34. Multiply:

A. B. C. D.

35. The length of a rectangle is 2 units greater than the width, w. What is the area of the rectangle?

A. B. C. D.

36. What are the vertex and y-intercept of the quadratic function ?

A. vertex y-intercept: -2

B. vertex y-intercept: -2

C. vertex y-intercept:

D. vertex y-intercept:

37. The height of an object dropped from a hot-air balloon can be determined by the formula

, where h is the height of the object in feet, t is the elapsed time in seconds, and s is the height of the balloon.

If the balloon is 400 feet from the ground, how long will it take for an object dropped from the balloon to hit the ground?

A. 2.5 seconds B. 5 secondsC. 7.5 seconds D. 10 seconds

38. Which is an x-intercept of ?

A. B.

C. -3 D.

39. Which binomial is a factor of ?

A. B. C. D.

40. Which of the following statements best describes

the solution(s) of ?

A. no solutionB. 1 negative solutionC. 1 positive solution and 1 negative solutionD. 2 positive solutions

41. Given , what is the range of the function?

A. all real numbers less than or equal to 5B. all integers less than or equal to 5C. all nonnegative real numbersD. all nonnegative integers

42. An object is shot upward from ground level with an initial velocity of 64 feet per second. Its height after t seconds is given by . Which graph best represents this function?

Reading Comprehension Review: Due on Review Day (first period due exam day)

UNRAAVEL: Reading StrategyU - Underline the QuestionN - Now Predict - what do you need to do to solve the problem?R - Read the problemA - Are the important words circled?A - Apply steps to solve the problemV - Verify your answer. Is it reasonable? Does it make sense?E - Eliminate any wrong answersL - Let the answer stay or rework the problem. Double check your work!

43. Shirley needs data to find an equation relating the number of hours that students spent per day working at a part-time job and their grade point average (GPA). She found that the top GPA was 3.90 if the student did not work at all, and for every hour a student worked, 0.10 points were lost. Which of the following best describes the relationship Shirley found between the number of hours a student worked and the student’s GPA?

A. As the number of hours worked decreased, the GPA decreased.

B. As the number of hours worked increased, the GPA increased.

C. As the number of hours worked decreased, the GPA increased.

D. No apparent relationship between the number ofhours worked and the GPA.

44. To find the image length L of a 40 foot tall object in a spherical mirror with a focal length of 2 feet,

can be used, where o is the distance, in

feet, of the object from the mirror. What is the image length of the object when it is 1.5 feet away from the mirror?

A. 266 feet B. 128 feetC. 64 feet D. 32 feet

45. The value, , of a particular car is related to the previous year’s value, , by the function

. Which statement best describe the change in the car’s value from one year to the next?

A. The value is decreasing by 15%.B. The value is increasing by 15%.C. The value is decreasing by 85%.D. The value is increasing by 85%.

46. Jill uses data to find an equation relating the number of hours (h) that students spent working per day at after-school jobs with their last math test grade (G). If her equation is , what is the dependent variable in the relationship?

A. the test grade B. the studentC. after-school jobs D. the hours worked

47. Mailing a letter costs 37¢ for the first ounce and 23¢ for each additional ounce. Suppose that we want to write a cost function to describe this situation. Which of the following is an independent variable?

A. The letter’s weight B. The mailing costC. 37¢ D. The number of stamps

needed

48. In the equation if an x-value is increased by 2, what would be the effect on the corresponding y-value?

A. The value of y will be 3 times as large.B. The value of y will decrease to be as large.C. The value of y will increase by 6.D. The value of y will decrease by 6.

Polynomials Review: Due Exam Day (bring your text book)

49. The endpoints of are G(-3, 7) and H(2, 9). What are the coordinates of the midpoint of ?

A. B.

C. D.

50. What is the greatest common factor of ?

A. B. C. D.

51. What is the quotient when is divided by 3x?

A. B. C. D.

52. Simplify:

A. B. C. D.

53. On a map’s coordinate grid, Panthersville is located at (-3,2), and Heel City is located at (4, 8). Falconton is the midpoint between Panthersville and Heel City. What is the approximate distance from Panthersville to Falconton? (One map unit equals one mile.)

A. 3.25 miles B. 4.61 milesC. 5.00 miles D. 9.22 miles

54. Which expression is the greatest common factor of ?

A. B. C. D.

55. What is the perimeter of

A. B. C. D.

Good Luck on your EOC tomorrow. Remember, go to bed early, EAT BREAKFAST, take a deep breath and relax. You will be great!!! Your Algebra 1 Teacher

AnswersLinear Day 1

1. B2. D3. A4. C5. C6. C7. C

Linear Day 28. A9. D10. D11. D12. C13. D14. D15. C16. B

Matrices17. C18. B19. A20. A21. B

Systems of Equations & Inequalities22. B23. B24. C25. D26. D27. C

Exponential Functions28. A29. B30. A31. D32. B33. D

Quadratic Functions34. C35. D36. B37. B38. B39. C40. C41. A42. B

Reading Comprehension43. C44. C45. A46. A47. A48. D

Polynomials49. B50. D51. D52. D53. B54. A55. D