Different: Arrow go different directions, circles are different, one answer is whole the other real
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1 a) 1.) Fatima enrolled in a traveler rewards program. She begins with 7,500 bonus points. For ever trip she takes, she collects 500 bonus points. D) When Fatima has collected 30,000 bonus points, she gets a free vacation. How man trips does Fatima need to take to get a free vacation? 7 Trips ) Solve -3x +.5x < 1.5 (x + ) x > -3 3) Solve for the indicated variable 3x - = -16 = ¾ x ) How do the solutions of 3x 13 < 1 - x and -37 x - 8 differ? How are the solutions alike? Include a graph in our explanation. Same: both inequalities, both have zero as a solution,both have graphs as solutions, both require division as a final step. Different: Arrow go different directions, circles are different, one answer is whole the other real 5) Write a real-world situation that can be modeled b the inequalit 5f Solve for f and explain how the value of f relates to our situation. Norm is saving five dollars a week for xbox live. He has a $75 off coupon and xbox live is more than $5 per month. How man weeks does he have to save for x box live? 6) An online video compan offers free shipping if the cost of the video games is at least $5. Your order currentl totals $ Write an inequalit to show how much more ou need to spend to qualif for free shipping. Solve the inequalit and explain what our answer means x > 5 7) Draw a graph that is a function. Explain wh it is a function. Then draw a graph that is NOT a function. Explain wh it is NOT a function. Not a function does not pass vertical line test
2 Is a function does not pass vertical line test 8) Ana was given the following test question to answer. A car travels at a stead rate of 60 miles per hour. Identif the independent and dependent variables. Describe the domain and the range. Write an equation to describe the situation.(pts) Ana wrote the response below The equation is = 60x. The dependent variable is time and the independent variable is distance. The domain and the range are all real numbers. a) If the test item is worth points, how man points would ou given Ana's response? Explain our thinking. No, I would give her two points b) If ou gave Ana less than points for her response, what would ou tell her to add to the response to receive full credit of points. Dependent variable, independent variable, domain and range have errors-see Mrs. Hansen for more details. 9 ) Graph -9x 3 = 6 for the domain D: {,, 0,, }.. = 3x - x (x,) 0 - -
3 10) The temperature of air in a room that start at 5 o F but increases b 1 0 F ever hour. Write a function that describes the temperature of the air over time. Graph the function to show the temperatures over the first 0 hours. Function:F(x) = 1x + 5 x (x,) Use our graph to predict the temperature at 1 hours. F(1) = 1* ) Tell whether the set of ordered pairs {( 1,0) (3,-6) (,, -3) (,-8) } satisfies a linear function. Explain wh or wh not.yes 1.) Simplif ( - 8) 3 13.) Data was collected on the average winter temperature and the number of das with snow of a random group of cities in the United States. Identif the correlation ou would expect to see between the average winter temperature and the number of das without snow. Positive Correlation 1.) Mrs. Williams is deciding between two field trips for her class. The Science Center charges $50 plus $ per student. The Dino Discover Museum simpl charges $8 per student. For how man students will the Science Center charge less than the Dino Discover Museum? ) Find the solution for : 6w w = -9 w + 13 No Solution 16.) Julia reads books from the librar each month for n months in a row. Write an expression to show how man books Julia read in all. Then, find the number of books Julia read if she read for ears. 58
4 17.) Alfonso has $305 in his saving account. He wants to save at least $675. Write and solve an inequalit to determine how much more mone Alfonso must save to reach his goal. Let d represent the amount of mone in dollars Alfonso must save to reach his goal. 18.) Solve and graph the inequalit. H 3.7 OR -7 + H < ) Solve the inequalit 9 and graph the solution set. 0) The time between a flash of lightning and the sound of its thunder can be used to estimate the distance from a lightning strike. The distance from the strike is the number of seconds between seeing the flash and hearing the thunder divided b 5. Suppose ou are 18 miles from a lightning strike. Write and solve an equation to find how man seconds there would be between the flash and thunder. 1) Simplif ( -) 3. ) Give the domain and range of the relation. Tell whether the relation is a function x 6 Please Read Are You? Going to go back and check our work. Answer ing in complete sentences Label ing all solutions Answer all parts of the question Show all work for each problem even if using a calculator Ask for help before or after school Make up our note card for the midterm- Bonus Points Good luck on the midterm 30 points of the 10 point Midterm Exam Grade Bring proper materials for the exa m
5 6.) Algebra 1 Midterm Review ) Brian has 3 water bottles for the 5K race participants. In addition, he is planning to bu some boxes of water bottles that have 1 water bottles each. All of the boxes cost the same. Brian is not sure et about the number of boxes of water bottles he wants to bu, but he has enough mone to bu up to 5 of them. Write a function rule to describe how man water bottles Brian can bu. Let x represent the number of boxes of water bottles Brian bus. Find a reasonable range for the function. ) A health club costs $35 to join. Each work out costs $.5. Let w represent the number of workouts. Identif the independent and dependent variables. Then, write a rule in function notation for the situation. Then use the function to calculate f( 6). When will the cost exceed $75.00 for the health club? 5.) Tell whether the function 8 = x - 7 is linear. If so, graph the function. 6.) Sara needs to take a taxi to get to the movies. The taxi charges $1.75 for the first mile, and then $.00 for each mile after that. If the total charge is $1.75, then how far was Sara s taxi ride to the movie? Write an equation to find the distance.
6 7.) Determine whether the sequence appears to be an arithmetic sequence. If so, find the common difference and the next three terms in the sequence. Write the equation if possible. 8, 13, 18, 3, 8,... 8.) Identif each graph as being a non-linear function, linear function, or not a function. Graph A Graph B Graph C 6 3 x x x A line contains the point (1,) and ( -,1). What are the slope and -intercept? 30. Write and equation of a line that is not linear. 31. Write an equation with a slope of and contains the point (, -3) 3. The cost to fill a car s tank with gas and get a car wash is a linear function of the capacit of the tank. The costs of a fill-up and a car wash for three different customers are shown in the table. Write an equation for the function in slope-intercept form. What does the slope and intercept represent? Find the cost of a fill-up and a car wash for a customer with a truck whose tank size is 35 gallons. Tank size (gal) (x) Total cost ($) f(x)
7 Did You? Go back and check our work. Answer in complete sentences Label solutions Answer all parts of the question Show all work for each problem even if using a calculator Ask for help before or after school Make up our note card for the midterm- Bonus Points Good luck on the midterm 30 points of the 10 point Midterm Exam Grade Bring proper materials for the exam; Pencil,eraser and calculator
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