Skills Practice 8-9. Solving Systems of Equations. (1, 2) no solution (0, 2) (1, 3) infinitely many ( 2, 0) (4, 3) (2, 2) (12, 4) (3, 2) (13, 3)

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1 8-9 NME TE PERI Skills Practice Solving Sstems of Equations Solve each sstem of equations b graphing (1, ) 4 8 (0, ) (1, ) no solution (0, ) (1, ) 4 4 (, 0) 4 (1, ) infinitel man (, 0) Solve each sstem of equations b substitution (4, ) (, ) (1, 4) , (, ) (1, ) Glencoe/McGraw-Hill 458 Glencoe Pre-lgebra

2 NME TE PERI 8 hapter 8 Test, Form 1 SRE Write the letter for the correct answer in the blank at the right of each question. 1. etermine which relation is a function.. {(, 0), (0, ), (5, 4), (0,1)}. {(0, 0), (0, ), (0, 4), (0,1)}. {( 1, 0), (0, ), ( 1, 4), (5, )}. {(, 0), (, ), (5, 4), (6, 1)} 1.. The relation {(5, 0), (1, 9), (, 4)} is not a function when which ordered pair is added to the set?. (, 0). (9, 1). ( 6, 8). (, 7).. The table shows the projected ratio of males to females at various ages in the ear 05. etermine whether this relation is a function and describe the relationship between the age of the population and the ratio of males to females. ge Ratio Source: Function; as the age increases, the ratio increases.. Function; as the age increases, the ratio decreases.. Not a function; as the age increases, the ratio increases.. Not a function; as the age increases, the ratio decreases.. 4. Which of the following is not a solution of the equation 4?. (, ). (4, 8). (0, 4). ( 1, 1) Which set of ordered pairs can be used to graph.. ( 1, ), (1, 1), (, 1). ( 1, ), (1, 1), (, 1). (, 1), (1, 1), (1, ). ( 1, ), (1, 1), (, 1) Find the -intercept and the -intercept for the graph of 4.. 4; 4. 4; 4. 4 ; 4. 4 ; raw a graph of the equation with intercepts (0, 4) and ( 4, 0) to determine which other point the line passes through.. (1, ). (, 1). ( 1, ). (, 1) Find the slope of the line that passes through the points (0, ) and (5, 0) The slope of a horizontal line is?.. undefined. 0. positive. negative Suppose varies directl with and 1 when 6. Write an equation relating and ssessment Glencoe/McGraw-Hill 467 Glencoe Pre-lgebra

3 8 NME TE PERI hapter 8 Test, Form 1 (continued) 11. The table shows the temperature of a potato placed in a 00 oven. What is the rate of change of temperature of the potato in the first 0 minutes? t (minutes) T (temperature) per minute. 5 per minute State the slope and the -intercept for the graph of 4.. 4; none. 1; 4. 4; 1. 4; Write an equation in slope-intercept form to represent the table of values The graph of a line goes through the point at (0, ) and has slope. Which point is also on the graph of the line?. (1, 4). (, ). (1, ). (, 4) 14. For Questions 15 and 16, the scatter plot at the right shows the relationship between the age and value of a used car in each of four ears. 15. Which of the following is the best estimate for the slope of the best-fit line for the data? Use a best-fit line to predict the value of the car after five ears.. $4,700. $,100. $8,00. $10, Find the solution of the sstem of equations graphed.. (, ). (0, ) and (, 0). (, ). (0, 1) and (1, 0) Solve the sstem of equations at the right b substitution. 0. ( 4, ). (0, 1). 1,. (1, 0) The graph of is the region? the graph of.. below. above. on or below. on or above etermine which ordered pair is a solution of the inequalit ( 1, 11). (0, 8). (1, ). (, 0) 0. onus The price of buing gasoline varies directl with the : number of gallons bought. If five gallons of gas cost $7.50, what is the rate of change of this linear function? Glencoe/McGraw-Hill 468 Glencoe Pre-lgebra Value (hundreds of dollars) ge (ears)

4 8 NME TE PERI hapter 8 Test, Form SRE Write the letter for the correct answer in the blank at the right of each question. 1. etermine which relation is not a function.. {(, ), (, ), ( 1, 4), ( 6, 5)}. {(0, 4), (, ), (, ), (0, 8)}. {(.5, ), (, ), ( 4, 4), (4, 4)}. {(1, 1), (0.5, ), (5, 4), ( 1, 1)} 1.. Which of the following values of c makes the relation {(0, 1), (1, ), (, ), (c, 4)} a function? None of these.. The table shows the median ears that workers of various ages had worked for their current emploer. etermine whether this relation is a function, and describe the relationship between age and length of time with the current emploer. Source: ge Years with Emploer Function; as the worker gets older, the median ears of work increases.. Function; as the worker gets older, the median ears of work decreases.. Not a function; as the worker gets older, the median ears of work increases.. Not a function; as the worker gets older, the median ears of work decreases.. 4. Which of the following is a solution of 6?. (, ). (0, ). (, 0). (4, ) Which set of ordered pairs can be used to graph 1?. ( 1, ), (0, 1), (1, 0). ( 1, ), (0, 1), (1, 0). ( 1, ), (0, 0), (1, ). ( 1, ), (0, 1), ( 1, 0) Find the -intercept and the -intercept of the graph of ; 6. ;. ;. ; raw a graph of the equation with intercepts (0, ) and (1, 0) to determine which other point the line passes through.. ( 1, 4). (, 5). (, ). (1, 1) Find the slope of the line that passes through the points ( 6, ) and (5, 1) What is the slope of the line?.. 0. undefined In 1996, the number of visitors to water parks was 5.1 million, while in 1999, the number of visitors dropped to 4.7 million. What was the rate of change? Source: musement usiness % decrease. 0.4 million people. 1, fewer people per ear 10. ssessment Glencoe/McGraw-Hill 469 Glencoe Pre-lgebra

5 8 NME TE PERI hapter 8 Test, Form (continued) 11. The number of ards varies directl as the number of feet. Write an equation converting feet to ards, using the fact that there are three feet in a ard Find the slope and the -intercept for the graph of 4.. 4; none. 1; 4. 0; 4. 4; Write an equation in slope-intercept form to represent the table of values The graph of a line goes through the point at (0, ) and has slope 1. Which point is also on the graph of the line?. (1, 5). (, 4). (1, ). (, 4) 14. For Questions 15 and 16, the scatter plot at the right shows the relationship between height of the hill and speed of a roller coaster. 15. Which of the following could be the slope of the best-fit line for the data? Speed (mph) 16. Predict the height of a hill for a roller coaster that has a speed of 90 mph.. 0 ft. 70 ft. 0 ft. 10 ft Solve the sstem of equations 0 at the right b graphing (0, 0). no solution. infinitel man solutions. ( 0.5, ) Solve the sstem of equations at the right b substitution. 1. ( 4, ). (0, 1). 4, 1 4. (1, 0) The graph of 5 is the region? the line 5.. below. above. on or below. on or above etermine which ordered pair is not a solution of the inequalit 4.. ( 1, 6). (0, 4). (1, 7). (1, 0) 0. onus In a certain linear equation, the rate of change of with : respect to is two. Write the equation if the (0, 1) is a solution. Glencoe/McGraw-Hill 470 Glencoe Pre-lgebra rop (feet) rop vs Speed

6 NME TE PERI 8 hapter 8 Test, Form SRE Write the letter for the correct answer in the blank at the right of each question. 1. etermine which relation is not a function.. {(, ), (, ), (1, 5), (6, )}. {(0, 4), (, ), (, ), (, )}. {(, ), ( 4, 4), (, ), (4, 4)}. {(1, 1), (, 1), (, 1), ( 1, 1)} 1.. Which of the following values of d makes the relation {(5, 0), (, 1), (1, 1), (d, 4)} a function? None of these.. The table shows the percent of households of a given income that have computers. etermine whether this relation is a function, and describe the relationship between the household income and the percent of those households that have computers. Source: Household Income ($) 1,500,500 0,000 4,500 6,500 75,000 Percent with omputer Function; as income rises, the number of computers in each household increases.. Function; as income rises, the percent of homes with computers increases.. Not a function; as income rises, the number of computers in each household increases.. Not a function; as income rises, the percent of homes with computers increases.. 4. Which of the following is not a solution of 4 6?. (, 6). (0, ). (1, ). (, ) Which set of ordered pairs can be used to graph 1?. ( 5, 9), (1, ), (4, 9). (, 5), (1, 1), (5, 9). (, 5), (0, 1), (4, ). ( 5, 9), (, ), (4, 9) Find the -intercept and the -intercept of the graph of.. ;. ; 1. 5; 1. 1; raw a graph of the equation with intercepts (5, 0) and (0, ) to determine which other point the line passes through.. (, 1). ( 5, 4). ( 1, ). (, ) Find the slope of the line that passes through the points (, 1) and (, 5) What is the slope of the line?.. 0. undefined ollege tuition and fees in the ear 000 averaged $510 a ear at fourear public institutions compared to $17 in What was the rate of change?. $9. $ per ear. $ % 10. ssessment Glencoe/McGraw-Hill 471 Glencoe Pre-lgebra

7 8 NME TE PERI hapter 8 Test, Form (continued) 11. The number of feet varies directl as the number of inches. Write a direct variation equation that converts inches to feet, using the fact that there are twelve inches in a foot State the slope and the -intercept for the graph of.. 0;. undefined;. 1; 0. 0; Write an equation in slope-intercept form to represent the table of values The graph of a line goes through (0, ) and has slope 1. What point is also on the graph of the line?. (, ). (1, 1). (, 1). ( 1, 5) 14. For Questions 15 and 16, the scatter plot at the Percent of US ities right shows the relationship between the ear with Youth urfews and the percent of cities having outh curfews. 15. Which of the following could be the slope of the best-fit line for the data? Predict the percent of cities having outh curfews in '85'87'89'91'9'95'97' Year Solve the sstem of equations 0 at the right b graphing. 5. (0, 0) and (1, ). no solution. infinitel man solutions. ( 0.5, ) Solve the sstem of equations at the right b substitution , 1 5. (, ). (4, ). no solutions The graph of 4 is the region? the graph of 4.. on and above. on and below. above. below etermine which ordered pair is a solution of the inequalit.. (0, 5). (, ). (1, 1). ( 1, 1) 0. onus In a certain linear equation, the rate of change of with : respect to is. Write the equation if (0, ) is a solution of the equation. Percent of ities Glencoe/McGraw-Hill 47 Glencoe Pre-lgebra

8 Glencoe/McGraw-Hill Glencoe Pre-lgebra 8-9 NME TE PERI Stud Guide and Intervention Solving Sstems of Equations Two linear equations together are called a sstem of equations. ne method for solving a sstem of equations is to graph the equations on the same coordinate plane. nother wa to solve a sstem of equations is b using substitution. Eample 1 Solve the sstem of equations b graphing The graphs appear to intersect at (1, 1). heck this estimate b substituting the coordinates into each equation. HEK: (1) Eample Solve the sstem of equations b substitution Since must have the same value in both equations, ou can replace with in the first equation Write the first equation Replace with. 1 5 Solve for. The solution of this sstem of equations is (1, ). heck b graphing. Eercises Solve each sstem of equations b graphing (, 0) 1 5 (, 0) (, ) Solve each sstem of equations b substitution (, ) (1, 1) (, 5) Glencoe/McGraw-Hill 457 Glencoe Pre-lgebra (, ) (1, 1) Lesson NME TE PERI Skills Practice Solving Sstems of Equations Solve each sstem of equations b graphing (1, ) (1, ) no solution (0, ) } 4 } (1, ) (1, ) infinitel man (, 0) Solve each sstem of equations b substitution } 1 } (4, ) (, ) (1, 4) } 1 } }1 }, (, ) (1, ) Glencoe/McGraw-Hill 458 Glencoe Pre-lgebra (, 0) (0, ) 4 nswers (Lesson 8-9)

9 hapter 8 ssessment nswer Ke Form 1 Form Page 467 Page 468 Page nswers : $1.50 per gallon (continued on the net page) Glencoe/McGraw-Hill 7 Glencoe Pre-lgebra

10 hapter 8 ssessment nswer Ke Form (continued) Form Page 470 Page 471 Page : : 10. Glencoe/McGraw-Hill 8 Glencoe Pre-lgebra