Chapter 8 Resource Masters - bcbe.org

1 PracticeFunctionsNAME _____ DATE _____ PERIOD _____8-18-1 Glencoe/McGraw-Hill419 Glencoe Pre-AlgebraDetermine whether each relation is a function. {(4, 5), (0, 9), (1, 0), (7, 0)}Yes; each xvalue is paired withonly one {( 2, 3), (6, 8), (4, 2), (6, 5), (2, 5)}No; 6 in the domain is paired with 8 and 5 in the ; 5 in the domain is pairedwith 1 and 0 in the ; in the domain is pairedwith and in the {(5, 12), ( 1, 2), (8, 5), (4, 2), (3, 5)}Yes; each xvalue is paired withonly one {(5, 2), ( 2, 15), ( 7, 15), (1, 5), (4, 15), ( 7, 2)}No; 7 in the domain is pairedwith 15 and 2 in the ; each xvalue is paired withonly one ; 4 in the domain is paired with 2 and 2 in the Exercises 9 12, use thetable, which shows the percent of employedmen and women in the labor forceevery five years from 1980 to the relation (year, percent of men) a function? ; each year is paired with only one value for the percent of employed how the percent of employed men is related to the number of employed men varies each year,but is around 76 percent of the male the relation (year, percent of women) a function?

2 ; each year is paired with only one value for the percent of employed how the percent of employed women is related to the the years progress, the percent of employed women Members of Labor ForceYearMenWomen(% of male(% of femalepopulation)population) Census BureauLesson 8-1x4 511 523y 31106xyx714 11 10 1y 3 9 4 315xyx 24 7y 7 2226xy Glencoe/McGraw-Hill424 Glencoe Pre-AlgebraPracticeLinear Equations in Two VariablesNAME _____ DATE _____ PERIOD _____8-28-2 Find four solutions of each equation. Write the solutions as ordered 6. Sample answers are x 3x 1( 1, 6), (0, 5),( 1, 7), (0, 7),( 1, 4), (0, 1),(1, 4), (2, 3)(1, 7), (2, 7)(1, 2), (2, 5) y 2x y 14( 1, 7), (0, 6),( 1, 2), (0, 4),( 1, 21), (0, 14),(1, 5), (2, 4)(1, 6), (2, 8)(1, 7), (2, 0)Graph each equation by plotting ordered 2x 6x x 3x 12 x 6 COOKINGFor Exercises 13 15, use the following is making gingerbread cookies using her grandmother s recipe and needs to convertgrams to ounces.

3 The equation y the approximate number of ounces yin three ordered pairs of values that satisfy this answer:(100, 4), (200, 8), (300, 12) the graph that contains these negative values of xmake sense in this case? ; a recipe cannot contain a negative numberof grams of an x 612xy2 4 6 84682468O 2 4 8 6 2y 3x 9xy2 4 6 8462 2 4 6 8 10468 2Oy 7xy2 4 6 8468102 2 4 6468 2Oy x + 4xyOy 6x + 2xy2 4 6 8246 2 4 6 8 10468 2Oy 2x 1xyOxy82134567100 200 300 400 OGramsOuncesPracticeGraphing Linear Equations Using InterceptsNAME _____ DATE _____ PERIOD _____8-38-3 Glencoe/McGraw-Hill429 Glencoe Pre-AlgebraFind the x-intercept and the y-intercept for the graph of each 2x 4 3x 91, 2none, 4 3, 12y 3y 156. x 7 04, 23, 5 7, noneGraph each equation using the x- and x x 2x 17 x 2y s grandparents started a savingsaccount for him, contributing $1000.

4 He deposits $430each month into the account. The equation y 430x 1000 represents how much money is in the savingsaccount after xnumber of months. Graph the equationand explain what the y-intercept y-intercept 1000 shows how much money was in the savings account before Rashid made any deposits.(2, 0)x 2xyO(2, 0)(0, 5)y x + 552xy46824268O 4 2 6 8 4 2 6 8(0, 1)y x 117( 7, 0)xy64826428O 2 4 6 8 6 4 2 8(0, 4)(2, 0)y 2x 4xyO(5, 0)y x + 5(0, 5)xy46824286O 2 4 6 8 4 6 8 2(7, 0)y x 7(0, 7)xy2 4 6 84682 2 4 6 8468 2Oy 430x 1000246810121416185101520 Months$ (thousand)OyxLesson 8-3 Glencoe/McGraw-Hill434 Glencoe Pre-AlgebraPracticeSlopeNAME _____ DATE _____ PERIOD _____8-48-4 Find the slope of each 23 5 Find the slope of the line that passes through each pair of ( 10, 6),B( 5, 8) (7, 3),D(11, 4) (5, 2),F(12, 3) 25 14 57 ( 15, 7),H( 10, 6) (13, 0),K( 3, 12) ( 5, 3),M( 4, 9) 15 34 (12, 2),Q(18, 2) ( 2, 3),S( 2, 5) ( 13, 8),U(21, 8) 23 wedding cake measures 2 feet high in the center and the diameter of the bottom tier is 12 inches.

5 What is the slope of the cake? particularly large ant hill found in 1997 measured 40 inches wide at the base and 18 inches high. What was the slope of the ant hill? 190 , the Great Pyramid at Giza near Cairo, Egypt, stands 137 meters tall, coming to a point. Its base is a square with each side measuring 230 meters wide. What is the slope of the pyramid? 113175 warehouse uses 8-foot long ramps to load its forklifts onto the flat beds of trucks for hauling. If the bed of a truck is 2 feet above the ground and the ramp is secured to the truck at its end, what is the slope of the ramp while in operation? 14 xy4268O 4 6 8 4 6 842(2, 6)(0, 4)xyO(3, 1)(0, 3)xyO(0, 2)(1, 2)PracticeRate of ChangeNAME _____ DATE _____ PERIOD _____8-58-5 Glencoe/McGraw-Hill439 Glencoe Pre-AlgebraFind the rate of change for each linear of 2 psi/minincrease of 102 km/hSuppose yvaries directly with an equation relating xand 6 when x 27 when x 4 when x 16y 3xy 3xy 14 10 when x 42 when x 3 when x 36y 5xy 6xy 112 when x 11 when x 25 when x 5y 13 xy 63 when x 48 when x 26 when x 13y 9xy 12xy 2xTRAFFIC MANAGEMENTFor Exercises 15 and 16, use the following Diego reserves express lanes on the freeways for the use of carpoolers.

6 In order to increase traffic flow during rush hours, other drivers may use the express lanes for a fee. The toll varies directly with the number of cars on the road. The table shows a sample of possible an equation that relates the toll xand traffic the number of vehicles at a peak time if the toll increases to $ SUPPLIESThe cost of paper varies directly with the number of reams of paper purchased. If 2 reams cost $ , find the cost of 41 reams.$ (min)Air in Tires (psi)0To l lTraffic Volume($)(vehicles/h) 8-5 TimeDistance(h)(km)xy005510101020151530 Glencoe/McGraw-Hill444 Glencoe Pre-AlgebraPracticeSlope-Intercept FormNAME _____ DATE _____ PERIOD _____8-68-6 Given the slope and y-intercept, graph each 34 , 56 , 1,y-intercept 3y-intercept 1y-intercept 5 Graph each equation using the slope and 12 x x 6x 3 EXERCISEFor Exercises 7 and 8, use the following person weighing 150 pounds burns about 320 Calories per hour walking at a moderatepace.

7 Suppose that the same person burns an average of 1500 Calories per day throughbasic activities. The total Calories yburned by that person can be represented by the equation y 320x 1500, where xrepresents the number of hours spent the equation using the slope and 320x 15001245312345678910 Time Walking (h)Calories Burned(thousands)Oy 6x 3xyOy x 4xyOy x 412xyOy x 5xyOy x + 156xy 4 6 846824268O 2 4 6 8 2y x the slope and y-intercept of thegraph of the equation and describe whatthey y-intercept1500 represents the number ofCalories burned without exercis-ing. The slope 320 represents thenumber of Calories burned perhour when Linear FunctionsNAME _____ DATE _____ PERIOD _____8-78-7 Glencoe/McGraw-Hill449 Glencoe Pre-AlgebraWrite an equation in slope-intercept form for each 3, 0,y-intercept 2y 3x 2y-intercept 7y an equation in slope-intercept form for the line passing through each pair of (9, 0) and (6, 1)6.

8 (8, 6) and ( 8, 2)7.(7, 5) and ( 4, 5)y 13 x 3y 14 x 4y 58.(2, 7) and ( 1, 4)9.(4, 4) and ( 8, 10)10.(0, 2) and ( 3, 14)y x 5y 12 x 6y 4x 2 BUSINESSFor Exercises 11 and 12, use the following Flowers charges $125 plus $60 for each standard floral arrangement to deliverand set up flowers for a an equation in slope-intercept form that shows the cost yfor flowers for xnumberof 60x the cost of providing 20 floral arrangements.$1325 INSULATIONFor Exercises 13 and 14, use the following Gonz lez wants to increase the energy efficiency of her house by adding to the insulation previously installed. The better a material protects against heat loss, the higher its R-value, orresistance to heat flow. The table shows the R-value of fiberglassblanket insulation per inch of thickness. The existing insulation in Renata s attic has an R-value of an equation in slope-intercept form that shows the total R-value yin the attic if she adds xnumber of inches of additional the total R-value in the attic if she adds 6 inches of 8-7y 43 x 3y 3xR-valueThickness(in.)

9 : Oak Ridge National Laboratory Glencoe/McGraw-Hill420 Glencoe Pre-AlgebraReading to Learn MathematicsFunctionsNAME _____ DATE _____ PERIOD _____8-18-1 How can the relationship between actual temperatures andwindchill temperatures be a function?Do the activity at the top of page 369 in your textbook. Writeyour answers grid paper, graph the temperatures as ordered pairs (actual, windchill). the relationship between the two temperature answer:As the actual temperature increases,the windchill temperature also the actual temperature is 220 F, which is the best estimate forthe windchill:246 F,228 F, or 0 F? Explain. 46 F; when theactual temperature decreases, the windchill temperaturealso the Lesson1 2. See students a definition and give an example of each new vocabulary word or a relation to be a function, each element in the domainmust haveonly one corresponding element in the what is meant by the phrase distance is a function of time.

10 Sample answer:How far something travels depends on how much time You have learned various ways to determine whether a relation is a function. Choosewhich method is the easiest for you to use, then write a few sentences explaining howthat method relates to the other answer: Placing the rangevalues in a table with their corresponding domain values makes it easyto see whether an element in the domain is paired with only one elementin the range. By graphing and connecting the points, the vertical line testcan be applied to arrive at the same line test5 5 10 15 20 25 30 35 15 5515yxOPracticeFunctionsNAME _____ DATE _____ PERIOD _____8-18-1 Glencoe/McGraw-Hill419 Glencoe Pre-AlgebraDetermine whether each relation is a function. {(4,25), (0,29), (1, 0), (7, 0)}Yes; each xvalue is paired withonly one {(22,23), (6,28), (4, 2), (6,25), (2,25)}No; 6 in the domain is paired with 8 and 5 in the ; 5 in the domain is pairedwith 1 and 0 in the ; in the domain is pairedwith and in the {(5,212), (21,22), (8,25), (4,22), (3,25)}Yes; each xvalue is paired withonly one {(5, 2), (22, 15), (27, 15), (1, 5), (4, 15), (27, 2)}No; 7 in the domain is pairedwith 15 and 2 in the ; each xvalue is paired withonly one ; 4 in the domain is paired with 2 and 2 in the Exercises 9 12, use thetable, which shows the percent of employedmen and women in the labor forceevery five years from 1980 to the relation (year, percent of men) a function?