NAME DATE PERIOD increased by three times a number 6. the difference of 17 and 5 times a number

Transcription

1 DATE PERID 1-1 Variables and Epressions Write an algebraic epression for each verbal epression. 1. the sum of a number and less than k 3. the product of 18 and q 4. 6 more than twice m 5. 8 increased b three times a number 6. the difference of 17 and 5 times a number 7. the product of and the second power of 8. 9 less than g to the fourth power Evaluate each epression Write a verbal epression for each algebraic epression a c d. 4 5h 3. b p 4 6q 6. 3n Chapter 1 8 Glencoe Algebra 1

2 1- DATE PERID rder of perations Evaluate each epression. 1. (5 4) 7. (9 ) (3 5) (3 1) [30 (10 ) 3] [30 (6 1) ] Lesson [1 (5 ) ] 16. [8 (3 9)] [8 3] Evaluate each epression if 6, 8, and z z 18. z z 0. ( z) 1. 5z ( ). 5 ( z) 3. 10z 4. z 3 ( 4) z z Chapter 1 15 Glencoe Algebra 1

3 1-3 DATE PERID pen Sentences Find the solution of each equation if the replacement sets are A {4, 5, 6, 7, 8} and B {9, 10, 11, 1, 13}. 1. 5a a Alg1 CH01 EP3 3. 7a b b b Find the solution of each equation using the given replacement set ; ,, 1, 8. ; 4 5 7,,, ( ) ;,,, ( 5) 5.; {1., 1.3, 1.4, 1.5} Solve each equation a 14. c (4) 4 6(7 ) 15. b 16. n 3(3 1) 3(8) 6 Find the solution set for each inequalit using the given replacement set. 17. a 7 13; {3, 4, 5, 6, 7} ; {7, 8, 9, 10, 11} 19. ; {, 3, 4, 5, 6, 7} 0. 1; {0,, 4, 6, 8, 10} 1. 4b 1 1; {0, 3, 6, 9, 1, 15}. c 5 11; {8, 9, 10, 11, 1, 13} Lesson ; {4, 6, 8, 10, 1} 4. ; {3, 4, 5, 6, 7, 8} 3 Chapter 1 3 Glencoe Algebra 1

4 1-4 DATE PERID Identit and Equalit Properties Name the propert used in each equation. Then find the value of n. 1. n n n n 1 5. n 1 6. n n 5 8. n 3 9. (9 3) (n) 10. (7 3) 4 n n 4 1. n n (18 ) 11 n Evaluate each epression. Name the propert used in each step (16 4 ) 16. [5 (15 3)] [7 ( 3)] 18. 4[8 (4 )] [10 ( 3)] 0. (6 3 1) 1 Lesson 1-4 Chapter 1 31 Glencoe Algebra 1

5 DATE PERID 1-5 The Distributive Propert Rewrite each epression using the Distributive Propert. Then simplif. 1. 4(3 5). (6 10) 3. 5(7 4) 4. (6 )8 5. (a 7) 6. 7(h 10) 7. 3(m n) 8. ( )6 9. ( 1) 10. 3(a b 1) Use the Distributive Propert to find each product Simplif each epression. If not possible, write simplified g g m 10m 0. 1p 8p a a (n n) 5. 4(b b) 6. 3q q q Chapter 1 38 Glencoe Algebra 1

6 DATE PERID Commutative and Associative Properties Evaluate each epression Lesson Simplif each epression a 9b 6a 1. p 3q 5p q 13. r 3s 5r s 14. 5m 3m m 15. 6k 6k k 9k 16. a 3(4 a) 17. 5(7 g) 3g Write an algebraic epression for each verbal epression. Then simplif, indicating the properties used. 18. three times the sum of a and b increased b a 19. twice the sum of p and q increased b twice the sum of p and 3q Chapter 1 45 Glencoe Algebra 1

7 DATE PERID 1-7 Logical Reasoning and Countereamples Identif the hpothesis and conclusion of each statement. 1. If it is Sunda, then mail is not delivered.. If ou are hiking in the mountains, then ou are outdoors. 3. If 6n 4 58, then n 9. Identif the hpothesis and conclusion of each statement. Then write the statement in if-then form. 4. Martina works at the baker ever Saturda. 5. Ivan onl runs earl in the morning.. 6. A polgon that has five sides is a pentagon. Determine whether a valid conclusion follows from the statement If Hector scores an 85 or above on his science eam, then he will earn an A in the class for the given condition. If a valid conclusion does not follow, write no valid conclusion and eplain wh. 7. Hector scored an 86 on his science eam. 8. Hector did not earn an A in science. 9. Hector scored 84 on the science eam. 10. Hector studied 10 hours for the science eam. Find a countereample for each statement. 11. If the car will not start, then it is out of gas. 1. If the basketball team has scored 100 points, then the must be winning the game. 13. If the Commutative Propert holds for addition, then it holds for subtraction. 14. If n 3 17, then n 7. Chapter 1 5 Glencoe Algebra 1

8 DATE PERID 1-8 Number Sstems Find each square root. If necessar, round to the nearest hundredth Name the set or sets of numbers to which each real number belongs Graph each solution set. Lesson Replace each with,, or to make each sentence true Write each set of numbers in order from least to greatest ,.3 6,., 0. 1, , 3.4 8, ,, Chapter 1 59 Glencoe Algebra 1

9 1-9 DATE PERID Functions and Graphs 1. The graph below represents the path of. The graph below represents a pupp a football thrown in the air. Describe eploring a trail. Describe what is what is happening in the graph. happening in the graph. Is the function discrete or continuous? Height Distance from Trailhead Time Time 3. WEATHER During a storm, it rained lightl for a while, then poured heavil, and then stopped for a while. Then it rained moderatel for a while before finall ending. Which graph represents this situation? A B C Total Rainfall Total Rainfall Total Rainfall Time Time Time LAUNDRY For Eercises 4 7, use the table that shows the charges for washing and pressing shirts at a cleaners. 4. Identif the independent and dependent variables. 5. Write the ordered pairs the table represents. 6. Draw a graph of the data. Total Cost ($) Number of Shirts Total Cost ($) Lesson Number of Shirts 7. Use the data to predict the cost for washing and pressing 16 shirts. Chapter 1 67 Glencoe Algebra 1

10 DATE PERID -1 Writing Equations Translate each sentence into an equation. 1. Two added to three times a number m is the same as 18.. Twice a increased b the cube of a equals b. 3. Seven less than the sum of p and q is as much as The sum of and its square is equal to times z. 5. Four times the sum of f and g is identical to si times g. Translate each sentence into a formula. 6. The perimeter P of a square equals four times the length of a side s. 7. The area A of a square is the length of a side s squared. 8. The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c. 9. The area A of a circle is pi times the radius r squared. 10. The volume V of a rectangular prism equals the product of the length, the width w, and the height h. Translate each equation into a verbal sentence. 11. g 10 3g 1. p 4q (a b) 9a ( f ) f s n b Write a problem based on the given information. 17. c cost per pound of plain coffee beans 18. p cost of dinner c 3 cost per pound of flavored coffee beans 0.15p cost of a 15% tip c (c 3) 1 p 0.15p 3 Chapter 8 Glencoe Algebra 1

11 DATE PERID - Solving Equations b Using Addition and Subtraction Solve each equation. Then check our solution w p b s ( 8) 0 8. ( 10) s ( 19) 10. j ( 17) d ( 10) 1. u ( 5) c ( 3) w ( 8) 16. ( 74) Lesson ( h) ( e) Write an equation for each problem. Then solve the equation and check our solution. 19. A number decreased b 14 is 46. Find the number. 0. Thirteen subtracted from a number is 5. Find the number. 1. The sum of a number and 67 is equal to 34. Find the number.. What number minus 8 equals? 3. A number plus 73 is equal to 7. What is the number? 4. A number plus 17 equals 1. Find the number. 5. What number less 5 is equal to 39? Chapter 15 Glencoe Algebra 1

12 DATE PERID -3 Solving Equations b Using Multiplication and Division Solve each equation. Then check our solution. 1. 1z t e v 5. 6d a c a d d t n z 14. q a 15. p b m 4 Write an equation for each problem. Then solve the equation. 19. The opposite of a number is 9. What is the number? 0. Fourteen times a number is 4. Find the number. 1. Eight times a number equals 18. What is the number?. Negative twelve times a number equals 13. Find the number. 3. Negative eighteen times a number is 54. What is the number? 4. ne sith of a number is 17. Find the number. 5. Negative three fifths of a number is 15. What is the number? Chapter Glencoe Algebra 1

13 -4 DATE PERID Solving Multi-Step Equations Solve each problem b working backward. 1. A number is divided b, and then the quotient is added to 8. The result is 33. Find the number.. Two is subtracted from a number, and then the difference is divided b 3. The result is 30. Find the number. 3. A number is multiplied b, and then the product is added to 9. The result is 49. What is the number? 4. ALLWANCE After Ricardo received his allowance for the week, he went to the mall with some friends. He spent half of his allowance on a new paperback book. Then he bought himself a snack for $1.5. When he arrived home, he had $5.00 left. How much was his allowance? Solve each equation. Then check our solution a c w v 4 n h d a w q g z c 5 b 1 0. m Write an equation and solve each problem. 3. Twice a number plus four equals 6. What is the number? 4. Siteen is seven plus three times a number. Find the number. Lesson Find two consecutive integers whose sum is Find three consecutive integers whose sum is 36. Chapter 9 Glencoe Algebra 1

14 -5 Justif each step. DATE PERID Solving Equations with the Variable on Each Side 1. 4k 3 k 5 4k 3 k k 5 k a. k 3 5 b. k c. k 8 d. k 8 e. k 4 f.. (8u ) 3(u 7) 16u 4 6u 1 a. 16u 4 6u 6u 1 6u b. 10u 4 1 c. 10u d. 10u 5 e. 10u f. u.5 g. Solve each equation. Then check our solution. 3. m 1 3m h 8 h a 3 3 a 6. 4n 1 1 4n r 5r k 7 4k 11. 8q 1 4(3 q) 1. 3(5j ) (3j 6) 13. 6( 3v 1) 5( v ) 14. 7(b 4) 5( b 6) 15. 3(8 3t) 5( t) 16. (3u 7) 4(3 u) 17. 8(f ) 7(3f ) 18. 5( 6 3d) 3(8 7d) 19. 6(w 1) 3(3w 5) 0. 7( 3 ) 8(3 ) v 6 6 v Chapter 36 Glencoe Algebra 1

15 -6 DATE PERID Ratios and Proportions Use cross products to determine whether each pair of ratios forms a proportion. Write es or no ,., , 4., , 6., , 8., Solve each proportion. If necessar, round to the nearest hundredth a 14 b g 10 a z 5 e s f b n m c 39 1 g 4 s BATING Hue s boat used 5 gallons of gasoline in 4 hours. At this rate, how man gallons of gasoline will the boat use in 10 hours? Chapter 44 Glencoe Algebra 1

16 -7 DATE PERID Percent of Change State whether each percent of change is a percent of increase or a percent of decrease. Then find each percent of change. Round to the nearest whole percent. 1. original: 5. original: 50 new: 10 new: original: original: 5 new: 50 new: 8 5. original: original: 90 new: 30 new: original: original: 60 new: 60 new: 45 Lesson -7 Find the total price of each item. 9. dress: $ binder: $14.50 ta: 5% ta: 7% 11. hardcover book: $ groceries: $47.5 ta: 6% ta: 3% 13. filler paper: $ shoes: $65.00 ta: 6.5% ta: 4% 15. basketball: $ concert tickets: $48.00 ta: 6% ta: 7.5% Find the discounted price of each item. 17. backpack: $ monitor: $ discount: 0% discount: 50% 19. CD: $ shirt: $5.50 discount: 0% discount: 40% 1. sleeping bag: $15. coffee maker: $10.00 discount: 5% discount: 45% Chapter 51 Glencoe Algebra 1

17 DATE PERID -8 Solving Equations and Formulas Solve each equation or formula for the variable specified. 1. 7t, for t. e wp, for p 3. q r r, for r 4. 4m n m, for m 5. 7a b 15a, for a 6. 5c d c, for c 7. 1, for 8. m 3n 1, for n 9. 7f g 5, for f 10. a c b, for 11. rt n, for t 1. bc 3g k, for c 13. kn 4f 9v, for n 14. 8c 6j 5p, for c Lesson -8 c c 15. d, for 16. d, for c p 9 b 4z 17. q, for p 18. a, for b 5 7 Write an equation and solve for the variable specified. 19. Five more than a number g is si less than twice a number h. Solve for g. 0. ne fourth of a number q is three more than three times a number w. Solve for q. 1. Eight less than a number s is three more than four times a number t. Solve for s. Chapter 59 Glencoe Algebra 1

18 -9 DATE PERID Weighted Averages SEASNING For Eercises 1 4, use the following information. A health food store sells seasoning blends in bulk. ne blend contains 0% basil. Sheila wants to add pure basil to some 0% blend to make 16 ounces of her own 30% blend. Let b represent the amount of basil Sheila should add to the 0% blend. 1. Complete the table representing the problem. unces Amount of Basil 0% Basil Blend 100% Basil 30% Basil Blend. Write an equation to represent the problem. 3. How man ounces of basil should Sheila use to make the 30% blend? 4. How man ounces of the 0% blend should she use? HIKING For Eercises 5 7, use the following information. At 7:00 A.M., two groups of hikers begin 1 miles apart and head toward each other. The first group, hiking at an average rate of 1.5 miles per hour, carries tents, sleeping bags, and cooking equipment. The second group, hiking at an average rate of miles per hour, carries food and water. Let t represent the hiking time. 5. Cop and complete the table representing the problem. First group of hikers Second group of hikers r t d rt 6. Write an equation using t that describes the distances traveled. 7. How long will it be until the two groups of hikers meet? SALES For Eercises 8 and 9, use the following information. Sergio sells a miture of Virginia peanuts and Spanish peanuts for $3.40 per pound. To make the miture, he uses Virginia peanuts that cost $3.50 per pound and Spanish peanuts that cost $3.00 per pound. He mies 10 pounds at a time. 8. How man pounds of Virginia peanuts does Sergio use? 9. How man pounds of Spanish peanuts does Sergio use? Chapter 66 Glencoe Algebra 1

19 3-1 DATE PERID Representing Relations Epress each relation as a table, a graph, and a mapping. Then determine the domain and range. 1. {( 1, 1), (1, 1), (, 1), (3, )}. {(0, 4), ( 4, 4), (, 3), (4, 0)} 3. {(3, ), (1, 0), (, 4), (3, 1)} Epress the relation shown in each table, mapping, or graph as a set of ordered pairs. Then write the inverse of the relation X Y Alg1 CH03 EP7 Chapter 3 8 Glencoe Algebra 1

20 DATE PERID 3- Representing Functions Determine whether each relation is a function. 1. X Y. X Y 3. X Y Alg1 CH03 EP {(, 5), (4, ), (3, 3), (5, 4), (, 5)} 8. {(6, 1), ( 4, ), (5, ), (4, 6), (6, 5)} Lesson If f() 3 and g(), find each value. 14. f(4) 15. f(8) 16. f( ) 17. g() 18. g( 3) 19. g( 6) 0. f() 1 1. f(1) 1. g() 3. g( 1) 4 4. f( 1) 5. g(3b) Chapter 3 15 Glencoe Algebra 1

21 3-3 DATE PERID Linear Functions Determine whether each equation is a linear equation. If so, write the equation in standard form Determine the -intercept and -intercept of each graph Alg1 CH03 EP7 Graph each equation b making a table Graph each equation b using the -intercept and -intercept Chapter 3 Glencoe Algebra 1

22 3-4 DATE PERID Arithmetic Sequences Determine whether each sequence is an arithmetic sequence. If it is, state the common difference. 1. 4, 7, 9, 1,. 15, 13, 11, 9, 3. 7, 10, 13, 16, 4. 6, 5, 3, 1, 5. 5, 3, 1, 1, 6. 9, 1, 15, 18, Find the net three terms of each arithmetic sequence. 7. 3, 7, 11, 15, 8., 0, 18, 16, 9. 13, 11, 9, 7, 10., 5, 8, 11, , 4, 9, 34, 1. 16, 7,, 11, Find the nth term of each arithmetic sequence described. 13. a 1 6, d 3, n a 1, d 5, n Alg1 CH03 EP7 15. a 1 10, d 3, n a 1 3, d 3, n 17. a 1 4, d 8, n a 1 8, d 6, n , 13, 18, 3, for n , 3, 4, 11, for n , 10, 8, 6, for n 16. 1, 7,, 3, for n 5 Write an equation for the nth term of each arithmetic sequence. Then graph the first five terms of the sequence. 3. 7, 13, 19, 5, 4. 30, 6,, 18, 5. 7, 4, 1,, a n n a n n a n 4 6 n Chapter 3 30 Glencoe Algebra 1

23 DATE PERID 3-5 Describing Number Patterns Find the net two items for each pattern. Then find the 19th figure in the pattern. 1. Alg1 CH03 EP7. Find the net three terms in each sequence. 3. 1, 4, 10, 19, 31, 4. 15, 14, 16, 15, 17, 16, 5. 9, 8, 6, 3, 19, 6., 3,, 4,, 5, 7., 1,, 8., 4, 9, 16, Write an equation in function notation for each relation Lesson 3-5 Chapter 3 37 Glencoe Algebra 1

24 DATE PERID 4-1 Rate of Change and Slope Find the slope of the line that passes through each pair of points (, 5) (0, 1) (0, 1) (3, 1) (0, 0) (1, ) 4. (, 5), (3, 6) 5. (6, 1), ( 6, 1) 6. (4, 6), (4, 8) 7. (5, ), (5, ) 8. (, 5), ( 3, 5) 9. (9, 8), (7, 8) 10. ( 5, 8), ( 8, 1) 11. ( 3, 10), ( 3, 7) 1. (17, 18), (18, 17) 13. ( 6, 4), (4, 1) 14. (10, 0), (, 4) 15. (, 1), ( 8, ) 16. (5, 9), (3, ) 17. (1, 6), (3, 5) 18. ( 4, 5), ( 8, 5) 19. ( 5, 6), (7, 8) Find the value of r so the line that passes through each pair of points has the given slope. 0. (r, 3), (5, 9), m 1. (5, 9), (r, 3), m (r, ), (6, 3), m 3. (r, 4), (7, 1), m 4 4. (5, 3), (r, 5), m 4 5. (7, r), (4, 6), m 0 Chapter 4 8 Glencoe Algebra 1

25 4- DATE PERID Slope and Direct Variation Name the constant of variation for each equation. Then determine the slope of the line that passes through each pair of points (3, 1) ( 1, ) (0, 0) (0, 0) 1 3 (, 3) (0, 0) 3 Graph each equation Write a direct variation equation that relates and. Assume that varies directl as. Then solve. 7. If 8 when, find 8. If 45 when 15, find when 3. when 15. Lesson 4-9. If 4 when, find 10. If 9 when 3, find when 6. when If 4 when 16, find 1. If 1 when 18, find when 6. when 16. Write a direct variation equation that relates the variables. Then graph the equation. 13. TRAVEL The total cost C of gasoline 14. SHIPPING The number of delivered tos T is $1.80 times the number of gallons g. is 3 times the total number of crates c. Cost ($) C Gasoline Cost Tos T Tos Shipped g Gallons c Crates Chapter 4 15 Glencoe Algebra 1

26 DATE PERID 4-3 Graphing Equations in Slope-Intercept Form Write an equation of the line with the given slope and -intercept. 1. slope: 5, -intercept: 3. slope:, -intercept: 7 3. slope: 6, -intercept: 4. slope: 7, -intercept: 1 5. slope: 3, -intercept: 6. slope: 4, -intercept: 9 7. slope: 1, -intercept: 1 8. slope: 0, -intercept: 8 Write an equation of the line shown in each graph (0, ) (0, 3) (, 1) (, 4) (0, 1) (, 3) Graph each equation Write a linear equation in slope-intercept form to model each situation. 15. A video store charges $10 for a rental card plus $ per rental. 16. A Norfolk pine is 18 inches tall and grows at a rate of 1.5 feet per ear. 17. A Cairn terrier weighs 30 pounds and is on a special diet to lose pounds per month. 18. An airplane at an altitude of 3000 feet descends at a rate of 500 feet per mile. Chapter 4 Glencoe Algebra 1

27 DATE PERID 4-4 Writing Equations in Slope-Intercept Form Write an equation of the line that passes through each point with the given slope (4, 1) ( 1, 4) m 3 m 1 m ( 1, ) 4. (1, 9), m 4 5. (4, ), m 6. (, ), m 3 7. (3, 0), m 5 8. ( 3, ), m 9. ( 5, 4), m 4 Write an equation of the line that passes through each pair of points (, 3) (1, 1) ( 1, 3) (3, ) (0, 3) (, 1) 13. (1, 3), ( 3, 5) 14. (1, 4), (6, 1) 15. (1, 1), (3, 5) 16. (, 4), (0, 6) 17. (3, 3), (1, 3) 18. ( 1, 6), (3, ) Write an equation of the line that has each pair of intercepts intercept: 3, -intercept: intercept: 3, -intercept: intercept: 1, -intercept:. -intercept:, -intercept: 4 Lesson intercept: 4, -intercept: intercept: 1, -intercept: 4 Chapter 4 9 Glencoe Algebra 1

28 4-5 DATE PERID Writing Equations in Point-Slope Form Write the point-slope form of an equation for a line that passes through each point with the given slope m 1 m 3 ( 1, ) (1, ) m 0 (, 3) 4. (3, 1), m 0 5. ( 4, 6), m 8 6. (1, 3), m (4, 6), m 1 8. (3, 3), m 9. ( 5, 1), m 3 4 Write each equation in standard form ( ) ( 4) ( 1) ( 3) ( 3) ( 3) ( 4) ( 3) 3 Write each equation in slope-intercept form ( ) 0. ( 4) 1. 6 ( ). 1 5( 3) ( 1) ( 5) ( 6) 6. 1 ( 9) Chapter 4 36 Glencoe Algebra 1

29 4-6 DATE PERID Statistics: Scatter Plots and Lines of Fit Determine whether each graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation. 1. Calories Burned. During Eercise Calories Fines (dollars) Librar Fines Time (minutes) Books Borrowed Weight-Lifting Repetitions Weight (pounds) BASEBALL For Eercises 5 7, use the scatter plot that shows the average price of a major-league baseball ticket from 1991 to Determine what relationship, if an, eists in the data. Eplain. 6. Use the points (1998, 13.60) and (003, 19.00) to write the slope-intercept form of an equation for the line of fit shown in the scatter plot. 7. Predict the price of a ticket in 009. Number of Newspapers Evening Newspapers Year Source: Editor & Publisher Average Price ($) Baseball Ticket Prices Year Source: Team Marketing Report, Chicago Chapter 4 44 Glencoe Algebra 1

30 4-7 DATE PERID Geometr: Parallel and Perpendicular Lines Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the graph of each equation (, ) (, 3) 1 (1, 1) (3, ), ( 1, ), ( 1, 1), (1, 3), ( 4, ), 3 9. ( 4, 3), (4, 1), ( 5, 1), 4 1. (3, 1), Write the slope-intercept form of an equation of the line that passes through the given point and is perpendicular to the graph of each equation. 13. ( 3, ), 14. (4, 1), ( 1, 6), ( 4, 5), (, 3), (0, 0), (3, 3), 5 0. ( 5, 1), 7 1. (0, ), (, 3), (, ), ( 4, 3), 8 16 Chapter 4 5 Glencoe Algebra 1

31 5-1 DATE PERID Graphing Sstems of Equations Use the graph at the right to determine whether each sstem has no solution, one solution, or infinitel man solutions Graph each sstem of equations. Then determine whether the sstem has no solution, one solution, or infinitel man solutions. If the sstem has one solution, name it Chapter 5 8 Glencoe Algebra 1

32 5- DATE PERID Substitution Use substitution to solve each sstem of equations. If the sstem does not have eactl one solution, state whether it has no solution or infinitel man solutions Chapter 5 16 Glencoe Algebra 1

33 5-3 DATE PERID Elimination Using Addition and Subtraction Use elimination to solve each sstem of equations a 4b 8. 3c d 1 4a 4b 1 3c d m n m n m 4n m n The sum of two numbers is 8 and their difference is 4. What are the numbers? 18. Find the two numbers whose sum is 9 and whose difference is The sum of two numbers is 4 and their difference is. What are the numbers? 0. Find the two numbers whose sum is 54 and whose difference is 4. Lesson Two times a number added to another number is 5. Three times the first number minus the other number is 0. Find the numbers. Chapter 5 3 Glencoe Algebra 1

34 5-4 DATE PERID Elimination Using Multiplication Use elimination to solve each sstem of equations Two times a number plus three times another number equals 13. The sum of the two numbers is 7. What are the numbers? 14. Four times a number minus twice another number is 16. The sum of the two numbers is 1. Find the numbers. Determine the best method to solve each sstem of equations. Then solve the sstem Chapter 5 30 Glencoe Algebra 1

35 5-5 DATE PERID Appling Sstems of Linear Equations Determine the best method to solve each sstem of equations. Then solve the sstem VEGETABLE STAND A roadside vegetable stand sells pumpkins for $5 each and squashes for $3 each. ne da the sold 6 more squash than pumpkins, and their sales totaled $98. Write and solve a sstem of equations to find how man pumpkins and squash the sold? 8. INCME Ramiro earns $0 per hour during the week and $30 per hour for overtime on the weekends. ne week Ramiro earned a total of $650. He worked 5 times as man hours during the week as he did on the weekend. Write and solve a sstem of equations to determine how man hours of overtime Ramiro worked on the weekend. 9. BASKETBALL Ana makes 14 baskets during her game. Some of these baskets were worth -points and others were worth 3-points. In total, she scored 30 points. Write and solve a sstem of equations to find how -points baskets she made. Lesson 5-5 Chapter 5 37 Glencoe Algebra 1

36 6-1 DATE PERID Solving Inequalities b Addition and Subtraction Match each inequalit with its corresponding graph c a e b a c b d d e. Solve each inequalit. Then check our solution, and graph it on a number line. 6. d 5 1 {d d 6} 7. s 9 8 {s s 1} a 7 13 {a a 6} 9. w 1 4 {w w 5} Alg1 CH06 EP k 3 {k k 1} b 4 {b b 5} { 6} 13. { } Define a variable, write an inequalit, and solve each problem. Then check our solution Sample answer: Let n the number. 14. A number decreased b 10 is greater than 5. n 10 5; {n n 5} 15. A number increased b 1 is less than 9. n 1 9; {n n 8} 16. Seven more than a number is less than or equal to 18. n 7 18; {n n 5} 17. Twent less than a number is at least 15. n 0 15; {n n 35} 18. A number plus is at most 1. n 1; {n n 1} Chapter 6 8 Glencoe Algebra 1

37 DATE PERID 6- Solving Inequalities b Multiplication and Division Match each inequalit with its corresponding statement. 1. 3n 9 d a. Three times a number is at most nine. Alg1 CH06 EP n 9 f b. ne third of a number is no more than nine n 9 a c. Negative three times a number is more than nine. 4. 3n 9 c d. Three times a number is less than nine n 9 b e. Negative three times a number is at least nine n 9 e f. ne third of a number is greater than or equal to nine. Solve each inequalit. Then check our solution g w b r 16 {g g 4} {w w 7} {b b 6} {r r } s a p p {p p 6} {s s 36} {a a 135} {p p 63} t k z m {t t 7} {z z 18} {m m } {k k 85} h d c { 36} {c c 14} {h h 0} {d d 144} Define a variable, write an inequalit, and solve each problem. Then check our solution Sample answer: Let n the number. 3. Four times a number is greater than 48. 4n 48; {n n 1} 1 4. ne eighth of a number is less than or equal to 3. 8 n 3; {n n 4} 5. Negative twelve times a number is no more than 84. 1n 84; {n n 7} 1 6. Negative one sith of a number is less than 9. 6 n 9; {n n 54} Lesson 6-7. Eight times a number is at least 16. 8n 16; {n n } Chapter 6 15 Glencoe Algebra 1

38 6-3 DATE PERID Solving Multi-Step Inequalities Justif each indicated step t t a. 4 3 t t ( 1) b t 16 a. Add 3 to each side. 4 b. Multipl each side b 3.??. 5(k 8) 7 3 5k a. 5k k b. 5k 10 5k 10 c. 5 5 k a. Distributive Propert b. Subtract 33 from each side. c. Divide each side b 5. Solve each inequalit. Then check our solution. 3. b d {b b 5} { } {d d 8} t 3 6. a j {a a 15} {t t 55} {j j 0} 9. f p 5 3p k 15 k 3 {f f 18} {p p 15} {k k } 1. ( 3m 5) (w 1) (w 5) 14. (q 3) 6 10 {m m 3} {w w } {q q 5} Define a variable, write an inequalit, and solve each problem. Then check our solution Sample answer: Let n the number. n 15. Four more than the quotient of a number and three is at least nine ; {n n 15} 16. The sum of a number and fourteen is less than or equal to three times the number. n 14 3n; {n n 7} 17. Negative three times a number increased b seven is less than negative eleven. 3n 7 11; {n n 6} 18. Five times a number decreased b eight is at most ten more than twice the number. 5n 8 n 10; {n n 6} Seven more than five siths of a number is more than negative three. 6 n 7 3; {n n 1} 0. Four times the sum of a number and two increased b three is at least twent-seven. 4(n ) 3 7; {n n 4} Chapter 6 Glencoe Algebra 1??? Alg1 CH06 EP3

39 DATE PERID 6-4 Solving Compound Inequalities Graph the solution set of each compound inequalit. 1. b 3 or b 0. z 3 and z Alg1 CH06 EP k 1 and k or Write a compound inequalit for each graph or 1 1 or Solve each compound inequalit. Then graph the solution set. 9. m 3 5 and m or 5 1 {m m 4} { 1 or 6} f 6 and f w 3 0 or w 7 9 {f f 1} {w w 3 or w } b p or p 1 {b b 6} {p p 0 or p 3} Define a variable, write an inequalit, and solve each problem. Then check our solution Sample answer: Let n the number. 15. A number plus one is greater than negative five and less than three. 5 n 1 3; {n 6 n } 16. A number decreased b two is at most four or at least nine. n 4 or n 9; {n n 6 or n 11} 17. The sum of a number and three is no more than eight or is more than twelve. n 3 8 or n 3 1; {n n 5 or n 9} Lesson 6-4 Chapter 6 9 Glencoe Algebra 1

40 DATE PERID 6-5 Solving pen Sentences Involving Absolute Value Match each open sentence with the graph of its solution set c a a b d c b d. Epress each statement as an open sentence using absolute value. 5. Jordan s highest and lowest test scores are 7 percentage points from 89%. p 89 = 7 6. The normal human bod temperature varies 1.5ºF from the average 98.6ºF. t Last ear, 4 students attended the Homecoming game. This ear, the Student Council epects student attendance to be within 36 of the previous ears attendance. s 4 36 Solve each open sentence. Then graph the solution set. 8. d 5 1 { 6, 4} 9. f 9 1 {4, 5} g 4 3 {1, 7} 11. w 3 1 { 4, } s 1 { 4, 4} 13. c 6 { 8, 4} For each graph, write an open sentence involving absolute value Alg1 CH06 EP3 Chapter 6 36 Glencoe Algebra 1

41 DATE PERID 6-6 Solving Inequalities Involving Absolute Value Match each open sentence with the graph of its solution set. Alg1 CH06 EP c a a b d c b d. Epress each statement using an inequalit involving absolute value. Do not solve. 5. The weatherman predicted that the temperature would be within 3 of 5 F. t Serena will make the B team if she scores within 8 points of the team average of 9. p The dance committee epects attendance to number within 5 of last ear s 87 students. a 87 5 Solve each open sentence. Then graph the solution set. 8. s 1 5 {s 6 s 4} 9. c 3 1 {c c 4} n 1 {n n 3 or n 1} 11. t 6 4 {t t 10 or t } 1. w {w w 0 or w 4} 13. k 5 4 {k 1 k 9} For each graph, write an open sentence involving absolute value Lesson 6-6 Chapter 6 43 Glencoe Algebra 1

42 DATE PERID 6-7 Graphing Inequalities in Two Variables Determine which ordered pairs are part of the solution set for each inequalit. 1. 3, {(1, 5), (1, 0), ( 1, 0), (5, 1)} {(1, 5), ( 1, 0)} Alg1 CH06 EP. 3, {(, 3), (, 1), (1, 6), (3, 4)} {(1, 6)} 3. 1, {(3, 1), (, 4), (4, ), ( 3, 3)} {(3, 1), (, 4), (4, )} Match each inequalit with its graph. 4. b a. b d 6. 4 a 7. 1 c c. d. Lesson Graph each inequalit Chapter 6 51 Glencoe Algebra 1

43 DATE PERID 6-8 Graphing Sstems of Inequalities Solve each sstem of inequalities b graphing Alg1 CH06 EP Write a sstem of inequalities for each graph Lesson 6-8, 3, 1, 1 Chapter 6 59 Glencoe Algebra 1

44 7-1 DATE PERID Multipling Monomials Determine whether each epression is a monomial. Write es or no. Eplain a b p q 5. j 3 k 6. a 3b Simplif. 7. a (a 3 )(a 6 ) 8. ( )( 7 ) 9. ( z)(z ) 10. ( k )( 3 k) Alg1 CH07 EP4 11. (e f 4 )(e f ) 1. (cd )(c 3 d ) 13. ( )(3 5 ) 14. (5a 7 )(4a ) 15. (4 3 )(3 3 5 ) 16. (7a 5 b )(a b 3 ) 17. ( 5m 3 )(3m 8 ) 18. ( c 4 d)( 4cd) 19. (10 ) 3 0. (p 3 ) 1 1. ( 6p). ( 3) 3 3. (3pq ) 4. (b 3 c 4 ) GEMETRY Epress the area of each figure as a monomial cd 4p 5 cd 9p 3 Chapter 7 8 Glencoe Algebra 1

45 7- DATE PERID Dividing Monomials Simplif. Assume that no denominator is equal to zero Alg1 CH07 EP4 r s 4 r 3 s 4 m 9d m 3 3d 6 1n w u 3 36n w 4 u a m 9. 3 b n ab m 3 n 1w u 1. 3 z 5 7w 4 u 5 8z Lesson 7-4p 7 7s k 0 (k 4 )(k 6 ) 0. k 1 ( 6 )(m 3 ) f 7 16p 5 q p 3 q f 4 h 3 h 6 f g h 15w 5. 0 u z 5 5u z 6 Chapter 7 15 Glencoe Algebra 1

46 7-3 DATE PERID Polnomials State whether each epression is a polnomial. If the epression is a polnomial, identif it as a monomial, a binomial, or a trinomial. 1. 5mn n. 4b b b c 8c GEMETRY Write a polnomial to represent the area of each shaded region r b a Find the degree of each polnomial r b Alg1 CH07 EP4 1. 4a 3 a 13. 5abc b Arrange the terms of each polnomial so that the powers of are in ascending order r 5 1r 4 r a 4 14a 10 3 a Arrange the terms of each polnomial so that the powers of are in descending order c 3 c Chapter 7 Glencoe Algebra 1

47 DATE PERID 7-4 Adding and Subtracting Polnomials Find each sum or difference. 1. ( 3) (4 9). (6s 5t) (4t 8s) 3. (5a 9b) (a 4b) 4. (11m 7n) (m 6n) 5. (m m) (m m ) 6. ( 3) ( 5) 7. (d d 5) (d 5) 8. (e 5e) (7e 3e ) 9. (5f g ) ( f 3) 10. (6k k 9) (4k 5k) 11. ( 3 1) (3 1) 1. (b ab ) (b ab) 13. (7z 4 z) ( 5 3z ) 14. (5 4n m) ( 6m 8) Alg1 CH07 EP4 15. (4t ) ( 4 t) 16. (3g 3 7g) (4g 8g 3 ) 17. (a 8a 4) (a 3) 18. (3 7 5) ( 4) 19. (7z z 1) ( 4z 3z 3) 0. (c 7c 4) (c 1 9c) 1. (n 3n ) (n 6n ). (a ab 3b ) (b 4a ab) 3. ( 5 6) ( 5 ) 4. (m 5m 1) (4m 3m 3) 5. ( 6 ) ( 5 7 4) 6. (5b 9b 5) (b 6 b) 7. ( 6 ) ( 4) (3 5) Chapter 7 30 Glencoe Algebra 1

48 DATE PERID 7-5 Multipling a Polnomial b a Monomial Find each product. 1. a(4a 3). c(11c 4) Alg1 CH07 EP4 3. ( 5) 4. ( 4) 5. 3n(n n) 6. 4h(3h 5) 7. 3(5 4) 8. 7c(5 c c 3 ) 9. 4b(1 9b b ) 10. 6( 5 4 ) 11. m (m 3m 5) 1. 3n ( n 3n 4) Simplif. 13. w(3w ) 5w 14. f(5f 3) f 15. p(p 8) 5p 16. ( 4 5) (3 4) a(5a 4) 9a 19. 4b( 5b 3) (b 7b 4) 0. 3m(3m 6) 3(m 4m 1) Solve each equation. 1. 3(a ) 5 a 4. (4 ) 8 4( 3) 3. 5( 1) 4( ) (b 6) (b 5) 5. 6(m ) 14 3(m ) (c 5) (c 6) Lesson 7-5 Chapter 7 37 Glencoe Algebra 1

49 DATE PERID 7-6 Multipling Polnomials Find each product. 1. (m 4)(m 1). ( )( ) 3. (b 3)(b 4) 4. (t 4)(t 3) 5. (r 1)(r ) 6. (z 5)(z 1) 7. (3c 1)(c ) 8. ( 6)( 3) 9. (d 1)(5d 4) 10. ( 5)( 4) 11. (3n 7)(n 3) 1. (q 5)(5q 1) Alg1 CH07 EP4 13. (3b 3)(3b ) 14. (m )(3m 3) 15. (4c 1)(c 1) 16. (5a )(a 3) 17. (4h )(4h 1) 18. ( )( ) 19. (e 4)(e 3e 6) 0. (t 1)(t t 4) 1. (k 4)(k 3k 6). (m 3)(m 3m 5) GEMETRY Write an epression to represent the area of each figure Chapter 7 44 Glencoe Algebra 1

50 DATE PERID 7-7 Special Products Find each product. 1. (n 3). ( 4)( 4) 3. ( 7) 4. (t 3)(t 3) 5. (b 1)(b 1) 6. (a 5)(a 5) 7. (p 4) 8. (z 3)(z 3) 9. ( )( ) 10. (r 1)(r 1) 11. (3g )(3g ) 1. (m 3)(m 3) 13. (6 u) 14. (r s) Alg1 CH07 EP4 15. (3q 1)(3q 1) 16. (c e) 17. (k ) 18. (w 3h) 19. (3p 4)(3p 4) 0. (t u) 1. ( 4). (3b 7)(3b 7) 3. (3 3g)(3 3g) 4. (s r ) 5. (k m ) 6. (3u n) 7. GEMETRY The length of a rectangle is the sum of two whole numbers. The width of the rectangle is the difference of the same two whole numbers. Using these facts, write a verbal epression for the area of the rectangle. Chapter 7 5 Glencoe Algebra 1

51 8-1 DATE PERID Monomials and Factoring Find the factors of each number. Then classif each number as prime or composite Find the prime factorization of each integer Factor each monomial completel a pq m ns 3 Find the GCF of each set of monomials , , , , , 36, 64. 4, 60, c, 1b d 4. 18a, 48a z, m 3 n,44mn 3 Chapter 8 8 Glencoe Algebra 1

52 DATE PERID 8- Factoring Using the Distributive Propert Factor each polnomial m a q 5q 5. 8a 56a 6. 81r 48rs 7. t h 3t 8. a b a p q 6pq p 11. 4a b 16ab 1a 1. 10m 3 n 3 mn 14mn Lesson b b 3b s s 3s a 4a a 17. 6t 4t 3t Solve each equation. Check our solutions. 19. ( 8) 0 0. b(b 1) 0 1. (m 3)(m 5) 0. (a 9)(a 1) a 6a 6. 3 Chapter 8 15 Glencoe Algebra 1

53 DATE PERID 8-3 Factoring Trinomials: b c Factor each trinomial. 1. t 8t 1. n 7n 1 3. p 9p 0 4. h 9h n 3n g 3g s 4s w w b 9b c 15c m m Solve each equation. Check our solutions b 7b m 5m d 7d p 3p h h a 14a n 36 5n 6. w 30 11w Chapter 8 Glencoe Algebra 1

54 8-4 DATE PERID Factoring Trinomials: a b c Factor each trinomial, if possible. If the trinomial cannot be factored using integers, write prime n 5n 3. s 9s g 7g 5. t 11t h 8h b 15b p 6p q 13q a 30a w 19w 15 Solve each equation. Check our solutions w 14w n 7n d d h 8h p 16p a 16a 15 Lesson b 15b 8b d 1d 10d 35 Chapter 8 9 Glencoe Algebra 1

55 8-5 DATE PERID Factoring Differences of Squares Factor each polnomial, if possible. If the polnomial cannot be factored, write prime. 1. a 4. n c p 5. k w 7. t 81u 8. 4h 5g 9. 64m c 5d r 4t p 13. 0q 5r 14. 3a 50b Solve each equation b factoring. Check our solutions p q b d a 8 1. s k h Lesson 8-5 Chapter 8 37 Glencoe Algebra 1

56 8-6 DATE PERID Perfect Squares and Factoring Determine whether each trinomial is a perfect square trinomial. If so, factor it. 1. c 6c 9. r 4r 4 3. g 14g w 4w 9 Lesson d 4d n 30n 5 Factor each polnomial, if possible. If the polnomial cannot be factored, write prime b 11b t 4t h a 4ac 1. q 14q d k 1k Solve each equation. Check our solutions p 4p g 1g n (k ) (m 4) 7 Chapter 8 45 Glencoe Algebra 1

57 DATE PERID 9-1 Graphing Quadratic Functions Use a table of values to graph each function Write the equation of the ais of smmetr, and find the coordinates of the verte of the graph of each function. Identif the verte as a maimum or minimum. Then graph the function Chapter 9 8 Glencoe Algebra 1

58 DATE PERID 9- Solving Quadratic Equations b Graphing Solve each equation b graphing c 6c 8 0 f() f(c) c 3. a a 1 4. n 7n 10 f(a) f(n) a n Lesson 9- Solve each equation b graphing. If integral roots cannot be found, estimate the roots b stating the consecutive integers between which the roots lie. 5. p 4p f(p) f() p 7. d 6d 3 8. h 1 4h f(d) f(h) d h Chapter 9 15 Glencoe Algebra 1

59 9-3 DATE PERID Solving Quadratic Equations b Completing the Square Solve each equation b taking the square root of each side. Round to the nearest tenth if necessar. 1. c 1c w 10w b 16b r 4r a 8a 16 1 Find the value of c that makes each trinomial a perfect square. 7. g 6g c 8. 4 c 9. a 14a c 10. n n c 11. s 18s c 1. p 0p c Solve each equation b completing the square. Round to the nearest tenth if necessar v 8v q 6q r r m 14m b 1b z 4z r 8r p p 5 3. a 0a g 8g 7 Chapter 9 Glencoe Algebra 1

60 9-4 DATE PERID Solving Quadratic Equations b Using the Quadratic Formula Solve each equation b using the Quadratic Formula. Round to the nearest tenth if necessar. 1. u n n s 5s b 11b c 7c 3 6. p 4p 1 7. a 9a h 3h p 5p g 7g t t State the value of the discriminant for each equation. Then determine the number of real roots of the equation. 15. q 4q m m a 4a w 6w z z d 5d 8 0. s 6s 1 0 Lesson u 4u h 7h 3 0 Chapter 9 9 Glencoe Algebra 1

61 9-5 DATE PERID Eponential Functions Graph each function. State the -intercept. Then use the graph to determine the approimate value of the given epression. Use a calculator to confirm the value. 1. ;.3. ; Graph each function. State the -intercept. 3. 3( ) 4. 3 Determine whether the data in each table displa eponential behavior. Eplain wh or wh not Chapter 9 36 Glencoe Algebra 1

62 9-6 DATE PERID Growth and Deca PPULATIN For Eercises 1 and, use the following information. The population of New York Cit increased from 8,008,78 in 000 to 8,168,388 in 005. The annual rate of population increase for the period was about 0.4%. Source: 1. Write an equation for the population t ears after Use the equation to predict the population of New York Cit in 015. SAVINGS For Eercises 3 and 4, use the following information. The Fresh and Green Compan has a savings plan for its emploees. If an emploee makes an initial contribution of $1000, the compan pas 8% interest compounded quarterl. 3. If an emploee participating in the plan withdraws the balance of the account after 5 ears, how much will be in the account? 4. If an emploee participating in the plan withdraws the balance of the account after 35 ears, how much will be in the account? 5. HUSING Mr. and Mrs. Boce bought a house for $96,000 in The real estate broker indicated that houses in their area were appreciating at an average annual rate of 4%. If the appreciation remained stead at this rate, what was the value of the Boce s home in 005? MANUFACTURING For Eercises 6 and 7, use the following information. Zeller Industries bought a piece of weaving equipment for $60,000. It is epected to depreciate at an average rate of 10% per ear. 6. Write an equation for the value of the piece of equipment after t ears. 7. Find the value of the piece of equipment after 6 ears. 8. FINANCES Kle saved $500 from a summer job. He plans to spend 10% of his savings each week on various forms of entertainment. At this rate, how much will Kle have left after 15 weeks? 9. TRANSPRTATIN Tiffan s mother bought a car for $9000 five ears ago. She wants to sell it to Tiffan based on a 15% annual rate of depreciation. At this rate, how much will Tiffan pa for the car? Chapter 9 44 Glencoe Algebra 1

63 DATE PERID 10-1 Skills Pracice Simplifing Radical Epressions Simplif b c d m 5 n q b h m Chapter 10 8 Glencoe Algebra 1

64 DATE PERID 10- perations with Radical Epressions Simplif c 9 c a 11 6a 4 6a Lesson Find each product. 17. ( 8 6 ) ( 10 3 ) (3 3 ) ( ) 1. (4 3 )(4 3 ). ( 6 ) 3. ( 8 )( 5 3 ) 4. ( )( ) Chapter Glencoe Algebra 1

65 10-3 DATE PERID Radical Equations Solve each equation. Check our solution. 1. f p u n 7. g a 0 9. c k d m d 1 d 18. 6p 8 p 0. 8 c c 8 1. r 3 5 r n 4 n 4. 3z 6 z Chapter 10 Glencoe Algebra 1

66 10-4 DATE PERID The Pthagorean Theorem Find the length of each missing side. If necessar, round to the nearest hundredth. 1.. a 3. c b b c a If c is the measure of the hpotenuse of a right triangle, find each missing measure. If necessar, round to the nearest hundredth. 7. a 1, b 8, c? 8. a 6, c 10, b? 9. a 15, b 36, c? 10. a 16, c 0, b? 11. a 5, b 1, c? 1. b 6, c 1, a? 13. a 11, b 4, c? 14. a 8, b 10, c? 15. a 19, b 39, c? 16. a 1, b 6, c? 17. c 130, a 7, b? 18. a 6, b 19, c? Determine whether the following side measures form right triangles. Justif our answer , 4, , 30, , 8, 3. 18, 4, , 36, , 7, 74 Chapter Glencoe Algebra 1

67 10-5 DATE PERID The Distance Formula Find the distance between each pair of points with the given coordinates. Epress answers in simplest radical form and as decimal approimations rounded to the nearest hundredth if necessar. 1. (9, 7), (1, 1). (5, ), (8, ) 3. (1, 3), (1, 4) 4. (7, ), ( 5, 7) 5. ( 6, 3), (10, 3) 6. (3, 3), (, 3) 7. ( 1, 4), ( 6, 0) 8. (, 4), (5, 8) 9. ( 3, 4), (, 8) 10. (5, 6), (7, 9) 11. (4, ), (8, 6) 1. (5, ), (3, 10) 13. (1, 1), (4, 11) 14. ( 3, 1), ( 11, 3) 15. (9, 3), (6, 6) 16. (0, 4), (8, 4) Find the possible values of a if the points with the given coordinates are the indicated distance apart. 17. (, 5), (a, 7); d (8, ), (5, a); d (4, a), (1, 6); d 5 0. (a, 3), (5, 1); d 5 1. (1, 1), (a, 1); d 4. (, a), (, 3); d (a, ), ( 3, 3); d 4. ( 5, 3), ( 3, a); d 5 Chapter Glencoe Algebra 1

68 DATE PERID 10-6 Similar Triangles Determine whether each pair of triangles is similar. Justif our answer. 1. E. U B W D F V X Z A C Y Lesson K 4. F J 40 G K E G H J F E H For each set of measures given, find the measures of the missing sides if PQR STU. 5. r 4, s 6, t 3, u 6. t 8, p 1, q 14, r 7 7. p 15, q 10, r 5, s 6 8. p 48, s 16, t 8, u q 6, s, t, u 10. p 3, q, r 1, u 1 3 P r Q q p R S u T t s U 11. p 14, q 7, u.5, t r 6, s 3, t, u Chapter Glencoe Algebra 1

69 DATE PERID 11-1 Inverse Variation Graph each variation if varies inversel as. 1. when 5. 6 when when when Write an inverse variation equation that relates and. Assume that varies inversel as. Then solve. 5. If 4 when 8, 6. If 7 when 3, find when. find when If 6 when, 8. If 4 when 3, find when 4. find when If 15 when 1, 10. If 48 when 4, find when 3. find when If 34 when 4, 1. If 7 when 3, find when 17. find when If 4 when 1.5, 14. If 0 when 5., find when 5. find when If 4 when, find when If 1 when, find when 8. 3 Chapter 11 8 Glencoe Algebra 1

70 11- DATE PERID Rational Epressions State the ecluded values for each rational epression. p 4n p 7 n 4 k k 4 5 b b b 7b 10 Simplif each epression. State the ecluded values of the variables. 1bc 1m n 8bc 4mn a b a 3 b Lesson 11- n n z z 1 4 d 10 3s d d 35 s 7s 1 t a 19. 5t a 4 t 6t 8 a a 8 b b 9 4 b 9b 18 Chapter Glencoe Algebra 1