Day 4: Systems, Algebra, Problem Solving
Algebra 1 EOC Homework Packet Name:_______________
Linear Review Day 1: Due Thursday, May 17
|Jim is selling hot dogs at a ball game. It cost Jim $250 to purchase everything |Which of the following equations describes the data in the table below? |
|to make the hot dogs. Jim sells hot dogs for $2.00 each. If he sells h hot dogs,|x (% of reduction (or increase) in dietary fat) |
|which equation models his profit (P)? |-6 |
| |-4 |
|A. [pic] B. [pic] |-2 |
|C. [pic] D. [pic] |1 |
| |5 |
| | |
| |y (weight loss (or gain) in pounds) |
| |-15 |
| |-11 |
| |-7 |
| |-1 |
| |7 |
| | |
| | |
| |A. [pic] B. [pic] |
| |C. [pic] D. [pic] |
|The following data compares the heights and weights of 5 people. |The cost of a large pizza is given by the formula [pic], where C(t) is the cost of|
|[pic] |the pizza and t is the number of topings. What does the slope represent? |
|Which of the following equations best represents the data? | |
| |A. number of toppings |
|A. [pic] B. [pic] |B. cost per slice |
|C. [pic] D. [pic] |C. cost of each topping |
| |D. cost of the pizza with no toppings |
| | |
| |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. $1,500 |
| |C. $1,250 D. $750 |
| | |
|In 1977, the price of a scientific calculator was $175. In 2004, the price was |The table contains data about the cost of telephone calls to Sydney Australia. |
|$15. Assuming the change in price was linear, what was the approximate price of a|The long-distance service charges a connection fee plus a certain amount per |
|scientific calculator in 1998? |minute. What is the connection fee charged for each call? |
| | |
|A. $23.00 B. $27.00 |Time (min) |
|C. $51.00 D. $60.00 |Cost (¢) |
| | |
| |1 |
| |17.9 |
| | |
| |5 |
| |49.5 |
| | |
| |8 |
| |73.2 |
| | |
| |11 |
| |96.9 |
| | |
| |20 |
| |168.0 |
| | |
| | |
| |A. 5¢ B. 7.9¢ |
| |C. 10¢ D. 17.9¢ |
| | |
Linear Review Day 2: Due Friday, May 18
|Hooke’s law states that the distance a vertical spring stretches varies directly |What is “7 less than 3 times c” represented as an algebraic expression? |
|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 |A. [pic] B. [pic] |
|inches? |C. [pic] D. [pic] |
| | |
|A. 110 pounds B. 65 pounds | |
|C. 17.6 pounds D. 11.1 pounds | |
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|When x is 3, and y is 12. If y varies directly as x, which equation relates x and |For the line [pic], where [pic]and [pic], what change would occur if b is |
|y? |multiplied by -1 and m remains the same? |
| | |
|A. [pic] B. [pic] |A. The y-intercept would become negative. |
|C. [pic] D. [pic] | |
| |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. |
|Suppose that y varies directly as x, and [pic] when [pic]. What is the value of y | |
|when [pic]? | |
| | |
|A. 2.8 B. 10 | |
|C. 17.5 D. 35 | |
|Mark burns 34 calories when he plays volleyball for 10 minutes. If he plays for 15 |A line has a slope of [pic] and y-intercept of -4. Which of the following is the|
|minutes, he burns 51 calories. How fast is Mark burning calories? |equation of the line? |
| | |
|A. [pic] calories per minute |A. [pic] B. [pic] |
|B. [pic] calories per minute |C. [pic] D. [pic] |
|C. [pic] calories per minute | |
|D. [pic] calories per minute | |
| | |
|Kirin has d dimes and q quarters. Which of the following expressions gives the |Which algebraic equation represents “three less than twice a number is the same |
|value of Kirin’s money in pennies? |as nine more than five times the number”? |
| | |
|A. [pic] B. [pic] |A. [pic] B. [pic] |
|C. [pic] D. [pic] |C. [pic] D. [pic] |
Matrices Review: Due Monday, May 21
|The Baltic Sea covers 147,500 square miles of area and has an average depth of 180|Matrix G shows the number of students at a gym in the year 2000. Matrix M shows |
|feet. The North Sea covers 164,900 square miles of area and has an average depth |the number of students at the same gym in 2005. |
|of 308 feet. The Red Sea has an area of 174,900 square miles and has an average |[pic] [pic] |
|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|Which matrix represents the change from 2000 to 2005? |
|area and depth of each sea? | |
| |A. [pic] B. [pic] |
|A. [pic] | |
| |C. [pic] D. [pic] |
|B. [pic] | |
| | |
|C. [pic] | |
| | |
|D. [pic] | |
|The matrix below displays the average SAT scores of eleventh- and twelfth-grade |This matrix shows the cost of cell phone service offered by several different |
|students over a three-year period at a high school. |companies. |
|[pic] | |
| |[pic] |
|What was the change in average SAT scores of the twelfth-graders from 1998 to | |
|2000? |What is the cost of 320 minutes with Company 4? |
| | |
|A. Scores increased by 225 points. |A. $37.20 B. $45.00 |
|B. Scores increased by 89 points. |C. $49.20 D. $75.00 |
|C. Scores decreased by 225 points | |
|D. Scores decreased by 89 points. | |
|Given the matrices |
|[pic] |
| |
|What is 4J – 2K? |
| |
|A. [pic] B. [pic] C. [pic] D. [pic] |
Systems of Equations & Inequalities Review: Due Tuesday, May 22
|A region is defined by the following system. |Amy is 35 years older than her daughter Sarah. In five years Amy will be twice as|
|[pic] |old as Sarah will be. How many years old is Sarah now? |
|In which quadrants of the coordinate plane is the region located? | |
| |A. 15 B. 30 |
|A. I, II, III B. II, III |C. 25 D. 20 |
|C. III, IV D. I, II, III, IV | |
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|The perimeter of a rectangular garden is 42 feet. The length of the garden is 5 |Joan bought a total of 30 cans of cola and root beer. There were twice as many |
|feet more than twice the width. Which system of equations will determine the |cans of cola as cans of root beer. Which system of equations will determine the |
|length (l) and the width (w) of the garden? |number of cans of cola (c) and the number of cans of root beer (r) that Joan |
| |bought? |
|A. [pic] B. [pic] | |
| |A. [pic] B. [pic] |
|C. [pic] D. [pic] | |
| |C. [pic] D. [pic] |
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|Chris bought 2 chicken sandwiches and 3 bowls of vegetable soup for $16.50, not |Solve: [pic] if [pic] |
|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. [pic] |
| |B. {1, 2, 3} |
|A. $5.50 B. $4.50 |C. {-2, -1, 0, 1, 2, 3} |
|C. $3.25 D. $2.50 |D. {-3, -2, -1, 0, 1, 2, 3} |
Exponential Functions Review: Due Wednesday, May 23
|The distance, d, from Earth to the sun is approximately [pic]miles. The speed of |The population of a town is 345,000. The function [pic]gives the predicted |
|light, c, is approximately [pic] miles per second. The equation [pic]can be used |population of the town in t years. Approximately what will the population be in 3|
|to find the time, t, for light to reach Earth from the sun. How long, in seconds,|years? |
|does it take light to travel from the sun to the Earth? | |
| |A. 350,000 B. 600,000 |
|A. [pic] seconds B. [pic]seconds |C. 700,000 D. 1,250,000 |
|C. [pic] seconds D. [pic] seconds | |
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|A chemist presented this graph to local government officials who needed to know |Each year, Cathy invests $1,200 in her account. The account pays an interest rate|
|the rate at which trash decays inside a landfill. |of 6.3%. The formula to calculate the balance in her account is |
|[pic] |[pic], where |
|Which is the correct interpretation of the rate of decay? |A is the amount invested per year, |
| |r is the interest rate, and |
|A. Half of the trash will decay every year. |n is the number of years investing. |
|B. Half of the trash will decay every two years. | |
|C. Half of the trash will decay every three years |Approximately how much will Cathy have in her account after 45 years? |
|D. Half of the trash will decay every six months. | |
| |A. $217,000 B. $248,000 |
| |C. $279,000 D. $297,000 |
| | |
|Local scientists have been asked to study the population of gnats around a lake. |Alan won $2,000 in an essay contest. He invested the money in a savings account |
|After five days, the scientist generated these results: |which pays 6% interest compounded annually. Consider the formula: |
| |[pic], where |
|Day | |
|1 |A(t) is the accumulated amount at time t |
|2 |Ao is the amount of invested at time t = 0, |
|3 |r is the interest rate, and |
|4 |t is the time in years. |
|5 | |
| |What is Alan’s investment worth after two years? |
|Gnats | |
|4 |A. $240 B. $247 |
|16 |C. $2,240 D. $2,247 |
|64 | |
|256 | |
|1,024 | |
| | |
| | |
|How can the data best be described? | |
| | |
|A. The population doubles daily. | |
|B. The population quadruples daily | |
|C. The population increases by 4 daily | |
|D. The population increases daily by squaring. | |
Quadratic Functions Review: Due Thursday, May 24
|Multiply: [pic] |The length of a rectangle is 2 units greater than the width, w. What is the area |
| |of the rectangle? |
|A. [pic] B. [pic] | |
|C. [pic] D. [pic] |A. [pic] B. [pic] |
| |C. [pic] D. [pic] |
| | |
|What are the vertex and y-intercept of the quadratic function [pic]? |The height of an object dropped from a hot-air balloon can be determined by the |
| |formula [pic], where h is the height of the object in feet, t is the elapsed time |
|A. vertex [pic] y-intercept: -2 |in seconds, and s is the height of the balloon. |
|B. vertex [pic] y-intercept: -2 | |
|C. vertex [pic] y-intercept: [pic] |If the balloon is 400 feet from the ground, how long will it take for an object |
|D. vertex [pic] y-intercept: [pic] |dropped from the balloon to hit the ground? |
| | |
| |A. 2.5 seconds B. 5 seconds |
| |C. 7.5 seconds D. 10 seconds |
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|Which is an x-intercept of [pic]? |Which binomial is a factor of [pic]? |
| | |
|A. [pic] B. [pic] |A. [pic] B. [pic] |
|C. -3 D. [pic] |C. [pic] D. [pic] |
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|Which of the following statements best describes the solution(s) of [pic]? |Given [pic], what is the range of the function? |
| | |
|A. no solution |A. all real numbers less than or equal to 5 |
|B. 1 negative solution |B. all integers less than or equal to 5 |
|C. 1 positive solution and 1 negative solution |C. all nonnegative real numbers |
|D. 2 positive solutions |D. all nonnegative integers |
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|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 [pic]. Which graph best represents|
|this function? |
|[pic] [pic] [pic] [pic] |
Reading Comprehension Review: Due on Review Day (first period due exam day)
|UNRAAVEL: Reading Strategy |Shirley needs data to find an equation relating the number of hours that students |
|U - Underline the Question |spent per day working at a part-time job and their grade point average (GPA). She|
|N - Now Predict - what do you need to do to solve the problem? |found that the top GPA was 3.90 if the student did not work at all, and for every |
|R - Read the problem |hour a student worked, 0.10 points were lost. Which of the following best |
|A - Are the important words circled? |describes the relationship Shirley found between the number of hours a student |
|A - Apply steps to solve the problem |worked and the student’s GPA? |
|V - Verify your answer. Is it reasonable? Does it make | |
|sense? |A. As the number of hours worked decreased, |
|E - Eliminate any wrong answers |the GPA decreased. |
|L - Let the answer stay or rework the problem. Double | |
|check your work! |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 of |
| |hours worked and the GPA. |
|To find the image length L of a 40 foot tall object in a spherical mirror with a | |
|focal length of 2 feet, [pic]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 feet | |
|C. 64 feet D. 32 feet | |
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|The value, [pic], of a particular car is related to the previous year’s value, |Jill uses data to find an equation relating the number of hours (h) that students |
|[pic], by the function [pic]. Which statement best describe the change in the |spent working per day at after-school jobs with their last math test grade (G). |
|car’s value from one year to the next? |If her equation is [pic], what is the dependent variable in the relationship? |
| | |
|A. The value is decreasing by 15%. |A. the test grade B. the student |
|B. The value is increasing by 15%. |C. after-school jobs D. the hours worked |
|C. The value is decreasing by 85%. | |
|D. The value is increasing by 85%. | |
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|Mailing a letter costs 37¢ for the first ounce and 23¢ for each additional ounce. |In the equation [pic] if an x-value is increased by 2, what would be the effect |
|Suppose that we want to write a cost function to describe this situation. Which |on the corresponding y-value? |
|of the following is an independent variable? | |
| |A. The value of y will be 3 times as large. |
|A. The letter’s weight B. The mailing cost |B. The value of y will decrease to be [pic]as large. |
|C. 37¢ D. The number of stamps |C. The value of y will increase by 6. |
|needed |D. The value of y will decrease by 6. |
Polynomials Review: Due Exam Day (bring your text book)
|The endpoints of [pic] are G(-3, 7) and H(2, 9). What are the coordinates of the |What is the greatest common factor of [pic]? |
|midpoint of [pic]? | |
| |A. [pic] B. [pic] |
|A. [pic] B. [pic] |C. [pic] D. [pic] |
|C. [pic] D. [pic] | |
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|What is the quotient when [pic] is divided by 3x? |Simplify: [pic] |
| | |
|A. [pic] B. [pic] |A. [pic] B. [pic] |
|C. [pic] D. [pic] |C. [pic] D. [pic] |
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|On a map’s coordinate grid, Panthersville is located at (-3,2), and Heel City is |Which expression is the greatest common factor of |
|located at (4, 8). Falconton is the midpoint between Panthersville and Heel City.|[pic]? |
|What is the approximate distance from Panthersville to Falconton? (One map unit | |
|equals one mile.) |A. [pic] B. [pic] |
| |C. [pic] D. [pic] |
|A. 3.25 miles B. 4.61 miles | |
|C. 5.00 miles D. 9.22 miles | |
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|What is the perimeter of [pic] |
|[pic] |
| |
|A. [pic] B. [pic] |
|C. [pic] D. [pic] |
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|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 |
Answers
Linear Day 1
1. B
2. D
3. A
4. C
5. C
6. C
7. C
Linear Day 2
8. A
9. D
10. D
11. D
12. C
13. D
14. D
15. C
16. B
Matrices
17. C
18. B
19. A
20. A
21. B
Systems of Equations & Inequalities
22. B
23. B
24. C
25. D
26. D
27. C
Exponential Functions
28. A
29. B
30. A
31. D
32. B
33. D
Quadratic Functions
34. C
35. D
36. B
37. B
38. B
39. C
40. C
41. A
42. B
Reading Comprehension
43. C
44. C
45. A
46. A
47. A
48. D
Polynomials
49. B
50. D
51. D
52. D
53. B
54. A
55. D
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