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NAME: _______________________________________ Milestones Review HW#6 Deadline: March 27, 2017 Units 5 & 7 Review Directions: Read each equation carefully. Show your work where applicable. Circle the correct answer. This assignment will be collected & graded (weighted as a formative assessment). Turned in late? 2 points off each day itβs late up to 2 days. After that, a zero will be given. 1.) The graph of a system of linear equations is shown below. 3.) A line contains the points (4, 2) and (0, -1). What is the equation of the line? A. ) π¦ = 2π₯ β 6 3 B. ) π¦ = π₯ β 1 4 C.) π¦ = D.) π¦ = 1 4 4 3 π₯+1 π₯β 10 3 4.) A system of equations is shown below. 5π₯ + 3π¦ = β6 2π₯ + π¦ = β4 Which ordered pair is the best estimate for the solution of this system of linear equations? A.) (-6, -2) B.) (-3, 2) C.) (4, -4) D.) (6, 8) Which statement about the ordered pair (-6, 8) is true? 2.) The graph of a function is shown below. A.) It is the only solution to the problem. B.) It is not a solution to either equation. C.) It is one of many solutions to the system. D.) It is a solution to the first but not the second equation. 5.) What is the equation of the line that passes 7 through point (4, 12) and has a slope of ? 2 For which interval of x is the function decreasing and nonlinear? A.) between -4 and -2 C.) between 0 and 2 B.) between -2 and 0 A.) π¦ = D.) between 2 and 4 C.) π¦ = 7 2 7 2 π₯β2 B.) π¦ = π₯+2 D.) π¦ = 7 2 7 2 π₯ + 26 π₯ β 38 6.) Which statement explains why the point (-2, 2) is the solution to the system of linear equations shown below? 8.) The relationship between temperature in degrees Fahrenheit and degrees Celsius is shown in the graph below. A.) It lies on the graph of only one of the equations. B.) It lies in the second quadrant of the coordinate plane. C.) It is the only point that satisfies both equations simultaneously. D.) It is one of many points that satisfies both equations simultaneously. What is the meaning of the y-intercept? 7.) Mr. Thomsen is buying two types of gift cards to give as prizes to employees at a company meeting. He will buy restaurant gift cards that each cost $50. He will also buy movie theater gift cards that each cost $20. He has $450 to buy a total of 15 gift cards. How many of each type of gift card can Mr. Thomsen buy? A.) the change in degrees Fahrenheit for every change of one degree Celsius B.) the change in degrees Celsius for every change of one degree Fahrenheit C.) the temperature in degrees Fahrenheit when the temperature is zero degrees Celsius D.) the temperature in degrees Celsius when the temperature is zero degrees Fahrenheit 9.) The graph of a system of equations is shown below. A.) He can buy 5 restaurant gift cards and 10 movie theater gift cards. B.) He can buy 8 restaurant gift cards and 7 movie theater gift cards. What system of equations represents the graph? 1 C.) He can buy 10 restaurant gift cards and 5 movie theater gift cards. A.) π¦ = β2π₯ + 10 πππ π¦ = β π₯ 3 1 B.) π¦ = β2π₯ + 10 πππ π¦ = β π₯ 1 D.) He can buy 12 restaurant gift cards and 3 movie theater gift cards. 2 C.) π¦ = β π₯ + 10 πππ π¦ = β2π₯ 2 1 D.) π¦ = β π₯ + 10 πππ π¦ = β2π₯ 3 10.) Which of the equations listed below are linear equations? 15.) Which statement is true concerning the slope of the line below? Equation I: πΆ = 2ππ Equation II: π΄ = ππ 2 Equation III: π = 4ππ 3 3 A.) equation I only B.) equation II only C.) equations I and II D.) equations II and III 11.) Which table of values represents a linear function? A.) B.) x y x y 0 0 0 0 1 1 1 2 4 16 4 8 9 81 9 18 C.) x 0 1 4 9 y 1 3 9 20 D.) x 0 1 4 9 y 0 2 4 6 A.) The slope is equivalent to the simplified ratio of the horizontal leg to the vertical leg of each triangle shown. 2 B.) The slope is equivalent to β . 3 C.) The slope is equivalent to the simplified ratio of the rise to the run of each triangle shown. 3 D.) The slope is equivalent to . 2 16.) Write an equation that represents the line graphed below. ________________ 12.) Solve the system of equations below. 17.) The line below has a ______________ slope. 2π₯ + 4π¦ = 10 A.) positive 2π₯ + 4π¦ = β10 B.) negative C.) zero A.) B.) C.) D.) D.) undefined x = 3, y = 1 x = 6, y = -4 no solution infinitely many solutions 18.) Bob has $12 and he makes $5 per hour washing cars. This can be represented as: y = 5x + 12. What does the slope represent? 13.) Which equation represents a nonlinear function? A.) π¦ = β3π₯ + 1 C.) π¦ = 1 2 π₯+1 B.) π¦ = π₯ 2 + 1 D.) π¦ = 2π₯ + A.) The number of cars washed B.) The total cost of car washed C.) The amount he makes per hour D.) The amount he already has 1 2 19.) The lines below show _____________________. 14.) A vertical line has ____________ slope. A.) no solution A.) positive B.) negative B.) infinite solutions C.) zero D.) undefined C.) one solution Use the graph and information below to answer questions 20 β 22. Two dog walkerβs prices are graphed below. Max charges $8 to get to know a new dog and $2 per walk. Dan charges $2 to get to know a new dog, plus $3 per walk after that. 22.) Explain what the point (10, 28) means. A.) Dan walked a dog 28 times for $10. B.) Max walked a dog 28 times for $10. C.) Max walked a dog 10 times for $28. D.) Dan walked a dog 10 times for $28. 23.) Alice is having her birthday party at a game center. The center charges $100 plus $20 per guest. The total cost of the party, y, can be represented by the equation y = 20x + 100. What does the y-intercept represent? A.) the number of guests B.) the cost to rent the game center C.) the cost per guest D.) Aliceβs age 24.) What is the solution of the system of equations? y = 2x + 2 y = 4x β 2 B.) (β2, β6) D.) (2, 6) A.) (2, β6) C.) (β2, 6) 25.) What is the constant rate of change between the values of x and y in the table? x y 20.) What is the charge for each to walk a dog 3 times? A.) Max charges $11 and Dan charges $14. B.) Max charges $14 and Dan charges $11. C.) Max charges $14 and Dan charges $16. D.) Max charges $16 and Dan charges $14. 21.) Choose the statement below that describes the best deal for choosing dog walkers. A.) For fewer than 6 walks, Dan has the best price, but for more than 6 walks, Max has the best price. B.) For fewer than 6 walks, Max has the best price, but for more than 6 walks, Dan has the best price. C.) For fewer than 20 walks, Max has the best price, but for more than 20 walks, Dan has the best price. D.) For fewer than 20 walks, Dan has the best price, but for more than 20 walks, Max has the best price. 1 -6 A.) β C.) 3 4 4 3 5 -3 9 0 13 3 B.) β D.) 3 4 4 3