ALGEBRA 1: CHAPTER 3 TEST

Transcription

1 ALGEBRA 1: CHAPTER 3 TEST ANSWER SHEET Student Date. Period Your answers to Part I should be recorded on this answer sheet. Part I Answer all questions in this part Your answers for Part II should be written in the test booklet. The declaration below should be signed when you have completed the examination. Academic honesty and integrity are basic to an effective learning community. All students are expected to be honest and display a high standard of integrity in the preparation and presentation of work in all classes. I understand the importance of academic integrity at Westlake High School, and I vow to be honest and honorable in all of my dealings with fellow students, faculty, and staff. I understand that each time I sign my name to a school document, I am reaffirming this pledge. [Adapted from Westlake High School Honor Code] Signature Algebra 1 Chapter 3 Test [1]

2 Part I Answer all questions in this part. Each correct answer will receive 4 credits. No partial credit will be allowed. For each question, write on the separate answer sheet the numeral preceding the word or expression that best completes the statement or answers the question. 1. Find the slope of the line through (4, 8) and (3, 10). A!! B 2 C!! D Find the slope of the line through (7, 7) and (7, 0). F 0 G 1 H 2 J undefined 3. In 2007 there were 2388 students enrolled at Westlake High School. In 2014 there were 2607 students enrolled What is the expected rate of change in student enrollment from 2007 to 2014? A decrease of 219 students B increase of about 31 students per year C decrease of about 31 students per year D increase of 219 students 3. Is 2x 5y = 0 a direct variation function? If so, identify the constant of variation. (A) yes: k =!! (B) yes; k =!! (C) no (D) yes: k =!!! Algebra 1 Chapter 3 Test [2]

3 5. Tell whether the set of ordered pairs {(1, -3), (3, -5), (5, -7), (7, -11)} satisfies a linear function. Explain. (A) Yes; there is no constant change in x (C) No; there is a constant change in x that that corresponds to a constant change in y. corresponds to a constant change in y. (B) Yes; there is a constant change in x (D) No; there is no constant change in x that that corresponds to a constant change in y. corresponds to a constant change in y. 6. Kristi decides to start a children s day camp to raise money babysitting this summer. Find the intercepts. What do the intercepts represent? Number of campers profits (A) x-intercept = -45; y-intercept = 3 The x-intercept represents the amount of money Kristi spent on supplies. The y-intercept represents the number of kids she needs to break even with expenses. (B) x-intercept = 3; y-intercept = -45 The x-intercept represents the number of kids Kristi started with. The y-intercept represents how much profit Kristi makes. (C) x-intercept = -45; y-intercept = 3 The x-intercept represents Kristi s profits. The y-intercept represents the number of kids that signed up. (D) x-intercept = 3; y-intercept = -45 The x-intercept represents the number of kids that need to sign up for Kristi to earn her investment back. The y-intercept represents how much money she spent on supplies. 7. Tell whether the slope of the line is positive, negative, zero, or undefined y (A) negative (B) positive (C) zero (D) undefined x Algebra 1 Chapter 3 Test [3]

4 8. This table shows the number of swimmers in the ocean at a given time. Find the rate of change for each time period. During which period did the number of swimmers increase at the fastest rate? Time 10:30 am 12:30 pm 1:30 pm 3:30 pm 5:30 pm Number of swimmers (A) Between 12:30 and 1:30 (C) Between 10:30 and 12:30 (B) Between 3:30 and 5:30 (D) Between 1:30 and 3:30 9. Use the following table to answer the question formula: a! = a! + d(n 1) Row Number of Seats How many seats are there in the 13 th row? A 108 B 132 C 144 D What is the parent function of the equation y=3x? (A) xy=3 (B) y 3x =0 (C)!! = 3 (D) y = x Algebra 1 Chapter 3 Test [4]

5 Part II Answer all questions in this part. Each complete, correct answer will receive 6 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, checks, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive 1 credit. 11. Find the value of r so the line that passes through ( 4, 3) and (2, r) has a slope of!!. 12. Determine whether the given table is a direct variation. If so, solve for k and write the equation. x y Graph: 6y 4x = 12 by using the x- and y-intercepts. Algebra 1 Chapter 3 Test [5]

6 14. Circle the table that satisfies a linear function. Explain why you chose your answer. x y x y Tickets to Zenith are $4 for students and $8 for adults. Mrs. Hyink has $40 in her wallet. The equation 4x + 8y = 40 represents the number of student tickets x and adult tickets y she can buy with the money in her purse. Solve for the x & y intercepts and explain their meaning. x-intercept: Meaning of x-intercept: y-intercept: Meaning of y-intercept: 16. Find the slope of the line containing the points (-4, -3) and (-8, -1). Use the slope formula for full credit. Slope = Algebra 1 Chapter 3 Test [6]

7 17. What is the parent function of y = 2x 8? Create a tables and graph the function x y 18. Given the graph, find the rate of change. Rate of change = 19. If y varies directly with x, and x = 3 when y = 4, find x when y = Solve: 3 x x 4 = 4x + 6 Algebra 1 Chapter 3 Test [7]

8 Bonus (6 points; partial credit will be awarded for appropriate work shown): Given the function f x = x, write a situation that could be modeled by the given function. Identify the x-intercept and y-intercept and relate them to the situation. Algebra 1 Chapter 3 Test [8]