FORT SMITH SCHOOL DISTRICT Algebra I / module 1 Math 1. Evaluate the expression x 8x 12, when x equals. A. 4 B. 7 C. 25 D. 1 Name Teacher Period 4. Solve the equation 2 x 4 = 4 5 (x 10). A. x = 0 11 B. x = 90 11 C. x = 0 D. x = 90 2. Given the values x = 4 and y = 5, evaluate the expression x + 2y 2. A. 22 B. 2 C. 62 D. 112. The perimeters of the rectangle and triangle below are equal. 5. Which phrase is equivalent to the algebraic expression x 5 + 25? A. The sum of x and 25 raised to the fifth power. B. The sum of the fifth root of x and 25. C. The sum of x raised to the fifth power and 25. D. xraised to the power of the sum of 5 and 25. 6. 1 and 2 are supplementary. Which equation models that the m 2 is 95 greater than m 1? A. m 2 = m 1 95 B. 180 = 95 m 1 C. m 2 = 95 + m 1 D. 95 > m 1 What is the value of x? A. 4 B. 8 5 C. 12 D. 24 7 1
FORT SMITH SCHOOL DISTRICT Math Algebra I module 1 7. What is the slope of the line shown in the graph below? 10. Which set of ordered pairs would form a line parallel to y = 5 x + 7? A. G(8, 4), H(5, 1) B. I(1, 2), J( 2, ) C. K( 4, 8), L(1, 5) D. M(2, 1), N(, 2) A. 2 B. 0 C. 2 D. undefined 11. In July 2005, Lance Armstrong won the Tour de France, completing the,608-km course in about 86.25 hours. Traveling at his average speed, approximately how long would it take him to ride 274 km? A..18 hours B. 6.55 hours C. 1.17 hours 8. A line has a slope of 4. Through which two points could this line pass? A. (10, 4), (19, 8) B. (8, 10), (0, 16) C. ( 7, 2), (10, 6) D. (8, 10), (2, 2) 9. The slope of CD is 2. Which set of ordered pairs 7 would make a line parallel to CD? D. 41.8 hours 12. When diving through the air, a peregrine falcon can reach speeds of up to 282 km an hour. How many kilometers would he travel in 1 hour and 12 minutes? A. 286.7 km B. 294.0 km C. 15.8 km D. 8.4 km A. E (, ), F (4, 5) B. G (, ), H (5, 4) C. I (1, 2), J (, 5) D. K (, 5), L (4, ) 2
FORT SMITH SCHOOL DISTRICT Math Algebra I module 1 1. The wholesale price of a computer system is $80. The retail price is 0% higher than the wholesale price. If Office Depot has computer systems on sale for 15% off the retail price, what is the sale price of a computer system? A. $95.00 B. $419.90 C. $47.00 D. $568.10 14. On January 1, 1999, the price of gasoline was $1.9 per gallon. If the price of gasoline increased by 5% per month, what was the cost of one gallon of gasoline, to the nearest cent, on April 1, 1999? A. $1.46 B. $1.5 C. $1.61 D. $1.69
FORT SMITH SCHOOL DISTRICT Algebra I / module 1 Open-Response Name Teacher Period ALGEBRA I OPEN-RESPONSE ITEM A A. The worst oil spill around the world happened in 1979 off the West Indies coast. The second worst oil spill was in 1991 off Angola. 1. The spills together released 547 thousand tons of oil. The worst spill released 27 thousand tons more than the second worst spill. How many tons of oil did the worst spill release? Show or explain all of your work. 2. Between 1990 and 1999 there were 58 oil spills that each released more than 7 tons of oil totaling 118 thousand tons. Seventy-three percent of the oil spilled occurred in 10 incidents. To the nearest tenth of a percent, what percent of the oil spills did the 10 incidents represent? Show or explain all of your work.. The total amount of oil spilled in the 1990s was 1 the amount spilled in the 1970s and 8 thousand tons less than the oil spills of the 1980s. Using one variable, write an expression that represents the oil spills for each decade. 4. The total amount of oil spilled during the past decades was approximately 5278 thousand tons. Using the expressions from Part, what was the total quantity of oil spilled each decade? Show or explain all of your work. BE SURE TO LABEL YOUR ANSWERS 1, 2,, AND 4. 4
FORT SMITH SCHOOL DISTRICT Algebra I / module 1 Student Answer Document Name Teacher Period A 5
ALGEBRA I OPEN-RESPONSE ITEM A (SEI.2.AI.1A, LA.1.AI.2A) A. The worst oil spill around the world happened in 1979 off the West Indies coast. The second worst oil spill was in 1991 off Angola. 1. The spills together released 547 thousand tons of oil. The worst spill released 27 thousand tons more than the second worst spill. How many tons of oil did the worst spill release? Show or explain all of your work. 2. Between 1990 and 1999 there were 58 oil spills that each released more than 7 tons of oil totaling 118 thousand tons. Seventythree percent of the oil spilled occurred in 10 incidents. To the nearest tenth of a percent, what percent of the oil spills did the 10 incidents represent? Show or explain all of your work.. The total amount of oil spilled in the 1990s was 1 the amount spilled in the 1970s and 8 thousand tons less than the oil spills of the 1980s. Using one variable, write an expression that represents the oil spills for each decade. 4. The total amount of oil spilled during the past decades was approximately 5278 thousand tons. Using the expressions from Part, what was the total quantity of oil spilled each decade? Show or explain all of your work. BE SURE TO LABEL YOUR ANSWERS 1, 2,, AND 4. RUBRIC FOR ALGEBRA I OPEN-RESPONSE ITEM A (SEI.2.AI.1A, LA.1.AI.2A) Score Description 4 The student scores 7 points. The response contains no incorrect work. The student scores 5 6½ points. 2 The student scores 4½ points. 1 The student scores ½ 2½ points. Some minimal understanding is shown. 0 The students scores 0 points. No understanding is shown. B Blank. No Response. No attempt to answer the questions.
Solution and Scoring Scoring: Part 1: Part 2: Part : (2 points possible) Score 1 point for the correct answer of 287 thousand tons. AND Score 1 point for correct and complete procedure shown and/or explained. OR Score ½ point for correct procedure with calculation or copy error in work shown. (1 point possible) Score ½ point for correct answer rounded to the nearest tenth of a percent. AND Score ½ point for correct and complete procedure shown and/or explanation given. (Rounding is not an issue for this ½ point.) (1½ points possible) Score ½ point for each expression. Part 4: (Based on student's answer in Part.) (2 ½ points possible) Score ½ point for each correct decade value. AND Score 1 point for correct and complete procedure shown and/or explanation given. Solution: Part 1: (x + 27) + x = 547 2x + 27 = 547 x = 260 260 + 27 = 287 thousand tons Part 2: 10 58 Part : = 0.0279 2.8 % 90s = 1 x 80s = 1 x + 8 70s = x Part 4: 1 x + 1 x + 8 + x = 5278 5 x + 8 = 5278 5 x = 5240 x = 144 1970s = 144 thousand tons 1980s = 1 (144) + 8 = 1086 thousand tons 1990s = 1 (144) = 1048 thousand tons
FORT SMITH SCHOOL DISTRICT Algebra I / module 1 Answer Key and Alignment Answer Source SLE 1. C TLI LA.1.AI.1a 2. C TLI LA.1.AI.1a. A TLI SEI.2.AI.1a 4. B TLI SEI.2.AI.1a 5. C TLI LA.1.AI.2a 6. C TLI LA.1.AI.2a 7. D TLI LF..AI.6 8. A TLI LF..AI.6 9. A TLI LF..AI.7 10. A TLI LF..AI.7 11. B TLI SEI.2.AI.5a 12. D TLI SEI.2.AI.5a 1. B TLI SEI.2.AI.5b 14. C TLI SEI.2.AI.5b