Name 1 A landscaping company charges a 12

Name ______________________ 1. A landscaping company charges a $12 fee to make a house call plus an hourly rate for labor. The total bill for a job that takes 2. 5 hours comes to $95. 75. Write an equation that can be used to solve for the hourly rate. Use r to represent the rate. 2. The graph below shows the distance traveled by a student and the time it took to travel that distance. According to the graph, what is the student’s rate of speed? 3. Which equation can be used to represent the function shown in the table? a. y = 2 x b. y = x c. y = x + 2 d. y = 2 x + 1 8. 2. 2. 1 Represent linear functions with tables, verbal descriptions, symbols, equations and graphs; translate one representation to another. Item Specifications • Vocabulary allowed in items: linear function, and vocabulary given at previous grades

Name ______________________ 1. William earns $9. 25 per hour at his part-time job. The linear graph below shows how much he earns for working different numbers of hours. Suppose he gets a raise of $0. 60 per hour. What part of the graph would change? 2. Suppose an eagle is soaring at a height of 100 feet. If the eagle begins climbing at a rate of 7 feet per second, its height is given by the equation y = 7 x + 100. In the equation, x is the number of seconds and y is the eagle’s height, in feet. Suppose the eagle’s original starting height had been 70 feet. What part of the graph of the linear equation would change? 3. Alberto is participating in an exercise program. He has been recording how many sit-ups he can do in 1 minute. The table below shows the results during each of the first 5 weeks of the program. Which term(s) best describes the rate of change? a. an inverse variation c. a direct variation b. nonlinear d. linear 8. 2. 2. 2 Identify graphical properties of linear functions including slopes and intercepts. Know that the slope equals the rate of change and that the y-intercept is zero when the function represents a proportional relationship. Item Specifications • Coordinates used for determining slope must contain integer values • Vocabulary allowed in items: linear function, intercept, and vocabulary given at previous grades

Name ______________________ SET I y=x y = 2 x y = 3 x y = 4 x 1. How does the graph of each line in SET 1 differ from the previous line? SET 2 y = -x y = -2 x y = -3 x y = -4 x 2. How does the graph of each line in SET 2 differ from the previous line? 3. How do the lines in SET 2 differ from the lines in SET 1? SET 3 y=x+1 y=x+2 y=x+3 4. How does the graph of each line in SET 3 differ from the previous line? SET 4 y=x– 1 y=x– 2 y=x– 3 5. How does the graph of each line in SET 4 differ from the previous line? 6. How do the lines in SET 4 differ from the lines in SET 3? 7. In the equation y = 4 x – 5, what happens to y as x is increased by 3? a. b. c. d. y increases by 4 y decreases by 5 y increases by 7 y increases by 12 8. 2. 2. 3 Identify how coefficient changes in the equation f(x) = mx + b affect the graphs of linear functions. Know how to use graphing technology to examine these effects. Item Specifications • Vocabulary allowed in items: linear function, intercept, coefficient, constant, and vocabulary given at previous grades

Name ______________________ Use the figures below to answer the following questions. Figure 1 Figure 2 Figure 3 Figure 1 Number of Tiles 1. Complete the table by extending the pattern. 2. Use words to describe the pattern. 2 3 4 3. Write an equation for the pattern, where x represents the figure and y represents the number of tiles. 5 4. Use the equation to predict the number of tiles in the 20 th figure. 5. The table shows Michael’s average time in the 1 -mile run over the past several weeks of training. If the pattern in the table continues, what will his average time be during the fifth week of training? a. 6: 33 b. 6: 38 c. 6: 43 d. 7: 18 8. 2. 2. 4 Represent arithmetic sequences using equations, tables, graphs and verbal descriptions, and use them to solve problems. Item Specifications • Vocabulary allowed in items: nth term, arithmetic sequence, geometric sequence, linear function, non-linear function, progression, and vocabulary given at previous grades

Name ______________________ 1. Manuel put 4 pennies in his piggy bank on Monday, 8 pennies on Tuesday, and 16 pennies on Wednesday. If he continues to deposit pennies in the bank in this pattern, how much money will he have in his piggy bank after Friday’s deposit? 2. A biologist observes that a population of insects originally contained 14 members. According to the scientist’s data shown below, how many insects will the population contain after 60 days of the study? a. 224 b. 434 c. 448 d. 882 8. 2. 2. 5 Represent geometric sequences using equations, tables, graphs and verbal descriptions, and use them to solve problems. Item Specifications • Vocabulary allowed in items: nth term, arithmetic sequence, geometric sequence, linear function, non-linear function, exponential, progression, and vocabulary given at previous grades