Instructional Materials for the WCSD Math Common Finals

Transcription

1 Algebra 1 Semester 1 Instructional Materials for the WCSD Math Common Finals The Instructional Materials are for student and teacher use and are aligned to the Math Common Final blueprint for this course. When used as test practice, success on the Instructional Materials does not guarantee success on the district math common final. Students can use these Instructional Materials to become familiar with the format and language used on the district common finals. Familiarity with standards vocabulary and interaction with the types of problems included in the Instructional Materials can result in less anxiety on the part of the students. Teachers can use the Instructional Materials in conjunction with the course guides to ensure that instruction and content is aligned with what will be assessed. The Instructional Materials are not representative of the depth or full range of learning that should occur in the classroom

2 Algebra 1 Semester 1 Test Reference Sheet Slope Formula Form of the Line Point-Slope Form Slope-Intercept Form Standard Form

3 Multiple Choice: Identify the choice that best completes the statement or answers the question. 1. In an algebraic expression, what separates the terms? A. addition and subtraction signs C. multiplication and division signs B. parentheses D. multiplication signs 2. Evaluate the expression when and. 3. A parking lot holds 42 cars. There are 26 cars in the lot already. Which inequality can be solved to show all the numbers of cars that can still park in the lot? 4. Leroy works part time for a moving company. One day he had to move 34 boxes from a truck to inside a house. After moving some boxes, he took a break and told his boss that he has only 15 more boxes to move. Which equation can be solved to find how many boxes Leroy moved before his break? 5. Ayanna and Zoe are measuring the speed of a snail. Which units would be most appropriate for measuring this quantity? A. miles per hour C. meters per second B. minutes per millimeter D. millimeters per minute

4 6. Which of the following represents a function? I. input output A. All of the above B. I and II C. I and III D. II and III II. input output III. input output Which graph does not represent a function? 8. John bought x pounds of beef for a barbeque. The price for the beef was $1.49 for the first pound and $1.09 for each additional pound. Write an equation that shows how the cost of ground beef depends on the number of pounds x.

5 9. At the beginning of the year, Jason had $40 in his savings account. He plans to deposit $20 into his account each month. By the end of January, he will have $60, $80 by the end of February, $100 by the end of March, and so on. Which equation describes the amount in his savings at any given month? 10. The cost of food at a wedding is $150 plus $17 per person attending. Write an equation that gives the total cost of food as a function of the number of people attending. What is the cost for 47 people? $ What is the solution for x in? 12. What is the solution for x in the equation,? 13. Given the following equation, what is the value of x? 14. Solve the equation

6 15. Which of the following inequalities represents the solution to? 16. Which of the following inequalities represents the solution to? 17. What is the solution to the compound inequality,? 18. A student solved the inequality for x as shown below. Is the student correct? Explain. A. Yes, the solution is correct if y is a negative integer. B. Yes, the solution is correct if y is a positive integer. C. No, the solution is incorrect because the inequality sign should be reversed for all division steps. D. No, the solution is incorrect because the inequality sign should be reversed when 5 is subtracted.

7 19. Which number line represents the solution to the compound inequality, or? 20. Sean is driving to visit his friend in another state. In the first hour, he travels of the total distance. In the second hour, he travels miles. If he has more miles to go, how far apart do the friends live? 21. A movie theater charges $8.50 for an adult ticket to an evening showing of a popular movie. To help the local animal shelter, the theater management has agreed to reduce the price of each adult ticket by $0.50 for every can of pet food a customer contributes to a collection barrel in the theater lobby. Which of the following shows an equation in which y represents the cost of an adult ticket in dollars for a customer who contributes x cans of pet food? 22. A line graphed on the coordinate plane has a slope of and contains the point. Which of the following points is on the same line? A. B. C. D.

8 23. Given the graph and the equation, which line has a larger slope? Line A Line B A. Line A has a larger value for slope B. Line B has a larger value for slope C. Line A and Line B have the same slope D. Cannot be determined 24. A student graphed the line. If she substitutes the number in for the number in the equation, how will the graph of the line change? A. The graph of the line will shift up five. B. The graph of the line will shift down five. C. The graph of the line will rise less steeply. D. The graph of the line will rise more steeply. 25. A student graphed the line. If he substitutes the number in for the number in the equation, how will the graph of the line change? A. The graph of the line will shift up six. B. The graph of the line will shift down six. C. The graph of the line will rise less steeply. D. The graph of the line will rise more steeply.

9 26. Which is the graph of? 27. Which is the graph of?

10 28. Which of the following properly describes the line through the points and? A. The line slants upward at a rate of and crosses the x-axis at 4. B. The line slants upward at a rate of and crosses the y-axis at 6. C. The line slants downward at a rate of and crosses the x-axis at 4. D. The line slants downward at a rate of and crosses the y-axis at Which equation of the line has a slope of and passes through the point? 30. Which equation of the line that passes through the points ( ) and ( )? A. ( ) C. ( ) B. ( ) D. ( ) 31. Which piecewise function is represented by the graph? A. { B. { C. { D. {

11 32. Which graph represents the piecewise function? { 33. Jim bought a cell phone plan that will cost him $25.00 per month plus $0.10 for every text. Which linear equation would be the best model for his cell phone plan cost? 34. The first five terms of a sequence are given below: Which equation describes the term of the sequence?

12 35. An exercise program begins the first week with minutes of daily exercise. Each week, the daily exercise is increased by minutes. Which function represents the number of minutes of daily exercise in the week? A. B. C. D. 36. The graph of a system of linear equations is shown below. What is the solution of the system? A. B. C. D. 37. Which equation would make this system have an infinite number of solutions? { 38. The equations of four lines are given below. Which two equations form a system with no solutions? A. B. C. D.

13 39. The graph and a table of values are given to represent two linear equations in a system of equations. Which of the following is the solution to the system? Line A Line B x y A. B. C. D. 40. The equation and a table of values are given to represent two linear equations in a system of equations. Which of the following is the solution to the system? Line A Line B A. B. C. D.

14 41. Which x-coordinate is in the solution to the system of equations? { 42. Which y-coordinate is in the solution to the system of equations? { 43. You invited friends over to your house to watch a movie. You let each person decide if they wanted to snack on popcorn, which cost $2.50 per person, or candy, which cost $1.75 per person. You spent $17.75 to buy snacks for 8 people. Write a system of equations that you could use to determine how many people chose popcorn and how many chose candy. A. { C. { B. { D. { 44. Two different families bought general admission tickets for a Reno Aces baseball game. One family paid $70 for 6 adults and 2 children. The other family paid $59 for 3 adults and 4 children. How much does an adult ticket cost? A. $8 C. $11.67 B. $9 D. $19.67

15 45. Which is the graph of? 46. Which is the graph of?

16 47. Sally wants to buy her friend a bouquet for his birthday. She wants to contain both carnations and roses. She has $28.50 to spend. Carnations cost $1.50 each and roses cost $2.50 each. Which graph below represents the possible combinations of numbers of carnations and roses Sally can afford to buy? 48. Which system of inequalities models the graph below? A. { B. { C. { D. {

17 49. Jesse wants to plant peach and apple trees in his backyard. He can fit at most 9 trees. Each peach tree costs $60, and each apple tree costs $75. If he only has $600 to spend, make a graph showing the number of each kind of tree that he can buy. 50. Which of the following points is a possible solution to the following system? { A. B. C. D.

18 Algebra 1 Instructional Material Answers A 11. D 21. A 31. B 41. C 2. D 12. B 22. D 32. C 42. C 3. B 13. A 23. A 33. B 43. D 4. C 14. D 24. B 34. C 44. B 5. D 15. B 25. D 35. C 45. B 6. C 16. C 26. D 36. A 46. D 7. A 17. D 27. C 37. A 47. B 8. C 18. B 28. D 38. D 48. C 9. D 19. C 29. D 39. A 49. A 10. C 20. B 30. A 40. D 50. D