Algebra 12nd 6 Weeks REVIEW

Transcription

1 Name: Class: Date: _ ID: A Algebra 1nd 6 Weeks REVIEW Multiple Choice Identif the choice that best completes the statement or answers the question. 1. Which graph represents a function? a. c. - x - - b. d. 3 x x ~ - Numeric Response. A boat is traveling at a constant speed. In 10 hours, the boat travels 160 miles. How man hours will it take the boat to travel miles? Short Answer 3. Find the x- and -intercepts of -x + = 8. 1 I

2 NaDle: _ ID: A. Give the domain and range of the relation. 6 1\ / \ / f\ \ 1\ \ / v 6 x 5. Tell whether the relation is a direct variation. Explain. 6. The equations of four lines are given. Identif which lines are parallel. Line 1: =-7x+6 1 Line : x + "5 =-6 Line 3: Line : = -5x- 8 1 Y + 7 = -"7(X + ) 7. Identif each graph as being a non-linear function, linear function, or not a function. Graph A Graph B Graph C x x - -1 x -1 -

3 Narne: _ ID: A 8. Solve 3a a = Write the equation that describes the line with slope = and -intercept = % in slope-intercept form. 10. Write an equation in slope-intercept form for the line parallel to = 5x - passing through (8, -). 11. The water level of a river is 3 feet and it is receding at a rate of 0.5 foot per da. Write an equation that represents the water level, w, after d das. Identif the slope and -intercept and describe their meanings. In how man das will the water level be 6 feet? 1. Tell whether the slope of the line is positive, negative, zero, or undefined. Y x Solve 3n =. 3

4 Name: _ ID: A 1. 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. Then, fmd the cost of a fill-up and a car wash for a customer with a truck whose tank size is gallons. Tank size (gal) x Total cost ($) x Write an equation in slope-intercept form with a slope of, and the point (3, -). 16. Evaluate the expression m + a for m = 9 and a = Solve p - 6 = Describe the transformation from the graph of I(x) = 3x to the graph of g(x) = ;x. 19. The elevator in the a downtown skscraper goes from the top floor down to the lowest level of the underground parking garage. If the building is 70 feet tall and the elevator descends 530 feet from top to bottom, how far underground does the parking garage go?

5 I I. Narne: _ ID: A 0. Give the domain and range of the relation. Tell whether the relation is a function. x Give two was to write the algebraic expression p + 10 in words.. Write an equation in slope-intercept form for the line that passes through (3, 7) and (7, ). 3. Write all classifications that appl to the real number f.. Give the domain and range of the relation. Tell whether the relation is a function \ -\ x - 5. If the population of an ant hill doubles ever 10 das and there are currentl 0 ants living in the ant hill, what will the ant hill population be in 0 das? 5 I

6 I NaDle: _ ID: A 6. The area of a square garden is 0 square feet. Estimate the side length of the garden. 7. Brian has 6 flowers for a big part decoration. In addition, he is planning to bu some flower arrangements that have 18 flowers each. All of the arrangements cost the same. Brian is not sure et about the number of flower arrangements he wants to bu, but he has enough mone to bu up to 5 of them. Write a function rule to describe how man flowers Brian can bu. Let x represents the number of flower arrangements Brian bus. Find a reasonable range for the function. 8. A music club charges an initial joining fee of$0.00. The cost per CD is $10.5. The graph shows the cost of belonging to the club as a function of CDs purchased. How will the graph change if the cost per CD goes up b $.00? (The new function is shown b the dotted line.) ) ~ 35 o U 30 5/ 0 5 -::: :::: V V / / / / 1 3 Number of CDs Purchased 9. Identif the lines that are perpendicular: = -; = + x + 3;x = -; + 3 = -5 (x + ) 6 r

7 Name: _ ID: A 30. Kristi rides her bike to school and has an odometer that measures the distance traveled. She subtracts this distance from the distance to the school and records the distance that remains between her and the school. Find the intercepts. What do the intercepts represent? Time traveled Distance (min) remaining (ft) 0 5,000 3,750, , For f(x) = -x +, find f(x) when x = Describe the transformation from the graph of f(x) = x + to the graph of g(x) = x-i. 33. Show that LMN is a right triangle. 10 L (5, 10) M (9,8) x 3. Solve 10 b = 99. 7

8 Name: _ ID: A 35. Identif the independent and dependent variables in the situation. The amount of electricit used for air conditioning in homes increases as the temperature increases. 36. The highest temperature recorded in the town of Westgate this summer was 101 F. Last winter, the lowest temperature recorded was -9 F. Find the difference between these extremes. 37. Sara needs to take a taxi to get to the movies. The taxi charges $.00 for the first mile, and then $.75 for each mile after that. If the total charge is $0.50, then how far was Sara's taxi ride to the movie? 38. Describe the correlation illustrated b the scatter plot. 10+-,-,-,-,-,-,-.-.-" 9+-+-~~~~~~~~ 8+-+-~~~~~~~~ ~~r-~~~ ~'-~~~~~ ~r-~~~~ ~r-~~~~ ~r-~~r-~ I r-~~~~~ x 39. Simplif (--). 8

9 Narne: _ ID: A 0. Find the x- and -intercepts {j x {j Write the power represented b the geometric model.. Simplif b combining like terms. 3x 3 + 9z + x 3 + 5z + 6.x 3. Write an equation in point-slope form for the line that has a slope of 6 and contains the point (-8, -7). 9

10 Name: ID: A. Show that ABeD is a parallelogram. 3 I I x 5. A video club costs $5 to join. Each video that is rented costs $.50. Let v represent the number of videos. Identif the independent and dependent variables. Then, write a rule in function notation for the situation. 6. Salvador has saved 130 sand dollars and wants to give them awa equall to n friends. Write an expression to show how man sand dollars each of Salvador's friends will receive. Then, find the total number of sand dollars each of Salvador's friends will get if Salvador gives them to 10 friends. 7. The time between a flash oflightning 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 17 miles from a lightning strike. Write and solve an equation to find how man seconds there would be between the flash and thunder. 8. Find the slope of the line. t>...-:h -5), v 3 x 10