NAME DATE PERID 4-1 Skills Practice Graphing Equations in Slope-Intercept Form Write an equation of a line in slope-intercept form 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 in slope-intercept form for each graph shown. 9. 10. 11. (0, ) (0, 3) (, 1) (, 4) (0, 1) (, 3) Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Graph each equation. 1. = + 4 13. = - - 1 14. + = -3 15. VIDE RENTALS A video store charges $10 for a rental card plus $ per rental. a. Write an equation in slope-intercept form for the total cost c of buing a rental card and renting m movies. b. Graph the equation. c. Find the cost of buing a rental card and 6 movies. Total Cost ($) c 0 18 16 14 1 10 0 Video Store Rental Costs 1 3 4 5 m Movies Rented Chapter 4 47 Glencoe Algebra 1
NAME DATE PERID 4-1 Practice Graphing Equations in Slope-Intercept Form Write an equation of a line in slope-intercept form with the given slope and -intercept. 1. slope: 1 4, -intercept: 3. slope: 3, -intercept: -4 3. slope: 1.5, -intercept: -1 4. slope: -.5, -intercept: 3.5 Write an equation in slope-intercept form for each graph shown. 5. ( 5, 0) (0, ) 6. (, 0) (0, 3) 7. ( 3, 0) (0, ) Graph each equation. 8. = - 1 + 9. 3 = - 6 10. 6 + 3 = 6 11. WRITING Carla has alread written 10 pages of a novel. She plans to write 15 additional pages per month until she is finished. a. Write an equation to find the total number of pages P written after an number of months m. b. Graph the equation on the grid at the right. c. Find the total number of pages written after 5 months. Pages Written P Carla s Novel 100 80 60 40 0 0 1 3 4 5 6 m Months Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 4 48 Glencoe Algebra 1
NAME DATE PERID 4- Skills Practice Writing Equations in Slope-Intercept Form Write an equation of the line that passes through the given point with the given slope. 1. ( 1, 4). (4, 1) 3. (-1, ) m = 3 m = 1 m = 4. (1, 9); slope 4 5. (4, ); slope - 6. (, -); slope 3 7. (3, 0); slope 5 8. (-3, -); slope 9. (-5, 4); slope -4 Write an equation of the line that passes through each pair of points. Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 10. (, 3) (3, ) 11. ( 1, 3) (1, 1) 1. (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, -) 19. INVESTING The price of a share of stock in XYZ Corporation was $74 two weeks ago. Seven weeks ago, the price was $59 a share. a. Write a linear equation to find the price p of a share of XYZ Corporation stock w weeks from now. b. Estimate the price of a share of stock five weeks ago. Chapter 4 49 Glencoe Algebra 1
NAME DATE PERID 4- Practice Writing Equations in Slope-Intercept Form Write an equation of the line that passes through the given point and has the given slope. 1.. 3. (1, ) (, ) m = 3 m = m = 1 ( 1, 3) 4. (-5, 4); slope -3 5. (4, 3); slope 1 6. (1, -5); slope - 3 7. (3, 7); slope 7 8. (-, 5 ; slope - ) 1 9. (5, 0); slope 0 Write an equation of the line that passes through each pair of points. 10. (4, ) (, 4) 11. (0, 5) (4, 1) 1. ( 3, 1) ( 1, 3) 13. (0, -4), (5, -4) 14. (-4, -), (4, 0) 15. (-, -3), (4, 5) 16. (0, 1), (5, 3) 17. (-3, 0), (1, -6) 18. (1, 0), (5, -1) 19. DANCE LESSNS The cost for 7 dance lessons is $8. The cost for 11 lessons is $1. Write a linear equation to find the total cost C for l lessons. Then use the equation to find the cost of 4 lessons. 0. WEATHER It is 76 F at the 6000-foot level of a mountain, and 49 F at the 1,000-foot level of the mountain. Write a linear equation to find the temperature T at an elevation on the mountain, where is in thousands of feet. Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 4 50 Glencoe Algebra 1
NAME DATE PERID 4-3 Skills Practice Point-Slope Form Write an equation in point-slope form for the line that passes through the given point with the slope provided. 1.. m = 1 3. m = 3 ( 1, ) (1, ) m = 0 (, 3) 4. (3, 1), m = 0 5. (-4, 6), m = 8 6. (1, -3), m = -4 7. (4, -6), m = 1 8. (3, 3), m = 4 3 9. (-5, -1), m = - 5 4 Write each equation in standard form. 10. + 1 = + 11. + 9 = -3( - ) 1. - 7 = 4( + 4) Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 13. - 4 = -( - 1) 14. - 6 = 4( + 3) 15. + 5 = -5( - 3) 16. - 10 = -( - 3) 17. - = - 1 ( - 4) 18. + 11 = 1 ( + 3) 3 Write each equation in slope-intercept form. 19. - 4 = 3( - ) 0. + = -( + 4) 1. - 6 = -( + ). + 1 = -5( - 3) 3. - 3 = 6( - 1) 4. - 8 = 3( + 5) 5. - = 1 ( + 6) 6. + 1 = - 1 3 ( + 9) 7. - 1 = + 1 Chapter 4 51 Glencoe Algebra 1
NAME DATE PERID 6-1 Skills Practice Graphing Sstems of Equations Use the graph at the right to determine whether each sstem is consistent or inconsistent and if it is independent or dependent. = + 4 1. = - 1. - = -4 = - + 1 = + 4 3. = + 4 4. = - 3 - = - = - = -4 = - 1 - = = - + 1 = - 3 Graph each sstem and determine the number of solutions that it has. If it has one solution, name it. 5. - = 1 6. = 1 7. 3 + = -3 = -3 + = 4 3 + = 3 Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 8. = + 9. + 3 = -3 10. - = -1 - = - - 3 = -3 + = 3 11. - = 3 1. + = 4 13. = + 3 - = 3 = - 1 + 3 = 6-6 Chapter 6 73 Glencoe Algebra 1
NAME DATE PERID 6-1 Practice Graphing Sstems of Equations Use the graph at the right to determine whether each sstem is consistent or inconsistent and if it is independent or dependent. 1. + = 3. - = -3 + = -3 4 - = -6 + 3 = 3 4 - = -6 - = -3 + = 3 + = -3 3. + 3 = 3 4. + 3 = 3 + = -3 - = -3 Graph each sstem and determine the number of solutions that it has. If it has one solution, name it. 5. 3 - = - 6. = - 3 7. + = 3 3 - = 0 4 = + 6 3 - = -5 8. BUSINESS Nick plans to start a home-based business producing and selling gourmet dog treats. He figures it will cost $0 in operating costs per week plus $0.50 to produce each treat. He plans to sell each treat for $1.50. a. Graph the sstem of equations = 0.5 + 0 and = 1.5 to represent the situation. b. How man treats does Nick need to sell per week to break even? 9. SALES A used book store also started selling used CDs and videos. In the first week, the store sold 40 used CDs and videos, at $4.00 per CD and $6.00 per video. The sales for both CDs and videos totaled $180.00 a. Write a sstem of equations to represent the situation. Cost ($) 40 35 30 5 0 15 10 5 0 Dog Treats 5 10 15 0 5 30 35 40 45 Sales ($) Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. b. Graph the sstem of equations. c. How man CDs and videos did the store sell in the first week? Chapter 6 74 Glencoe Algebra 1
NAME DATE PERID 6- Skills Practice Substitution Use substitution to solve each sstem of equations. 1. = 4. = + = 5 + 3 = -14 3. = 3 4. = -4 + = 15 3 + = 0 5. = - 1 6. = - 7 + = 3 + 8 = 7. = 4-1 8. = 3 + 8 = - 5 5 + = 5 9. - 3 = 1 10. = 5-8 = 3-4 + 3 = 33 Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 11. + = 13 1. + 5 = 4 3-5 = 6 3 + 15 = -1 13. 3 - = 4 14. + 4 = 8-3 = -9-5 = 9 15. - 5 = 10 16. 5 - = 14-10 = 0 - = 5 17. + 5 = 38 18. - 4 = 7-3 = -3 3 + = -3 19. + = 7 0..5 + = - - = -1 3 + = 0 Chapter 6 75 Glencoe Algebra 1
NAME DATE PERID 6- Practice Substitution Use substitution to solve each sstem of equations. 1. = 6. = 3 3. = + 7 + 3 = -0 3-5 = 1 = + 4 4. = - 5. = + 6 6. 3 + = 1 = + - = = - - 7. + = 13 8. - = 3 9. - 5 = 36 - - 3 = -18 4-8 = 1 + = -16 10. - 3 = -4 11. + 14 = 84 1. 0.3-0. = 0.5 + 6 = 18-7 = -7 - = -5 13. 0.5 + 4 = -1 14. 3 - = 11 15. 1 + = 1 +.5 = 3.5-1 = 4 - = 6 16. 1 - = 3 3 17. 4-5 = -7 18. + 3 = -4 + = 5 = 5 + 6 = 5 19. EMPLYMENT Kenisha sells athletic shoes part-time at a department store. She can earn either $500 per month plus a 4% commission on her total sales, or $400 per month plus a 5% commission on total sales. a. Write a sstem of equations to represent the situation. b. What is the total price of the athletic shoes Kenisha needs to sell to earn the same income from each pa scale? c. Which is the better offer? 0. MVIE TICKETS Tickets to a movie cost $7.5 for adults and $5.50 for students. A group of friends purchased 8 tickets for $5.75. a. Write a sstem of equations to represent the situation. Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. b. How man adult tickets and student tickets were purchased? Chapter 6 76 Glencoe Algebra 1
NAME DATE PERID 7-1 Practice Multipling Monomials Determine whether each epression is a monomial. Write es or no. Eplain our reasoning. 1. 1 a 7b. b 3 c Simplif each epression. 3. (-5 )(3 4 ) 4. (ab f )(4a 3 b f ) 5. (3ad 4 )(-a ) 6. (4g 3 h)(-g 5 ) 7. (-15 4 ) (- 1 3 3 ) 8. (-) 3 (z) 9. (-18 m n) (- 1 6 m n ) 10. (0.a b 3 ) 11. ( 3 p ) 1. ( 1 4 a d 3 ) 13. (0.4k 3 ) 3 14. [(4 ) ] GEMETRY Epress the area of each figure as a monomial. 15. 6a b 4 3ab 16. 5 3 17. GEMETRY Epress the volume of each solid as a monomial. 18. 3h 3h 3h 19. m 3 n 1. CUNTING A panel of four light switches can be set in 4 was. A panel of five light switches can set in twice this man was. In how man was can five light switches be set?. HBBIES Tawa wants to increase her rock collection b a power of three this ear and then increase it again b a power of two net ear. If she has rocks now, how man rocks will she have after the second ear? mn 3 n 0. 4a b 3g 6ab 3 7g Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 7 90 Glencoe Algebra 1
NAME DATE PERID 7- Skills Practice Dividing Monomials Simplif each epression. Assume that no denominator equals zero. 1. 6 5 6 4 3. 4 5. m m 3 7. 1 n 5 36n 9. a 3 b 5 ab 11. -1 w 5 7 w 4 5 13. ( 4 p 7 7 r ). 9 1 9 8 4. r 3 t r 3 t 4 6. 9 d 7 3 d 6 8. w 4 3 w 4 10. m 7 p m 3 p 1. 3 3 z 5-8 z 14. 4-4 Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 15. 8-16. ( 5 3) - 17. ( 11) 9-1 18. h 3 h -6 19. k 0 (k 4 )(k -6 ) 0. k -1 (l -6 )(m 3 ) 1. f -7 f 4 3. f -5 g 4 h - 5. -15 t 0 u -1 5 u 3. ( 16 p 5 w p 3 w ) 3 4. 15 6-9 5-11 6. 48 6 7 z 5-6 5 z 6 0 Chapter 7 91 Glencoe Algebra 1
NAME DATE PERID 7- Practice Dividing Monomials Simplif each epression. Assume that no denominator equals zero. 1. 8 8 8 4. a 4 b 6 ab 3 3. 4. m 5 np m 4 p 7. ( 4f 3 g 3 h ) 6 3 5. 5 c d 3-4 c d 6. 8 7 z 6 4 6 z 5 8. ( 6 w 5 7 p 6 r ) 9. -4 3 4 5 10. 3 ( -5 )( -8 ) 11. p(q - )(r -3 ) 1. 1-13. ( 3 7) - 16. -15 w 0 u -1 5 u 3 19. 6 f - g 3 h 5 54 f - g -5 h 3 14. ( 4 3) -4 17. 8 c 3 d f 4 4 c -1 d f -3 0. -1 t -1 u 5-4 t -3 u 5 15. r 3 s 11 r s -3 18. ( -3 5 ) 4-3 1. r 4 (3r ) 3 0. m - n -5 ( m 4 n 3 ) -1 5. ( q -1 r 3 q r ) - -5 3. ( j -1 k 3 ) -4 j 3 k 3 6. ( 7 c -3 d 3 c 5 dh ) -1-4 4. ( a - b ) -3 5 a b 4 7. ( 3 z 3 4 z ) - 8. BILGY A lab technician draws a sample of blood. A cubic millimeter of the blood contains 3 white blood cells and 5 red blood cells. What is the ratio of white blood cells to red blood cells? 9. CUNTING The number of three-letter words that can be formed with the English alphabet is 6 3. The number of five-letter words that can be formed is 6 5. How man times more five-letter words can be formed than three-letter words? - Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 7 9 Glencoe Algebra 1
NAME DATE PERID 7-3 Skills Practice Scientific Notation Epress each number in scientific notation. 1. 3,400,000,000. 0.00000031 3.,091,000 4. 980,00,000,000,000 5. 0.00000000008 6. 0.0014 Epress each number in standard form. 7..1 10 5 8. 8.03 10-7 9. 3.63 10-6 10. 7.15 10 8 11. 1.86 10-4 1. 4.9 10 5 Evaluate each product. Epress the results in both scientific notation and standard form. Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 13. (6.1 10 5 )( 10 5 ) 14. (4.4 10 6 )(1.6 10-9 ) 15. (8.8 10 8 )(3.5 10-13 ) 16. (1.35 10 8 )(7. 10-4 ) 17. (. 10-1 )(8 10 6 ) 18. (3.4 10-5 )(5.4 10-4 ) Evaluate each quotient. Epress the results in both scientific notation and standard form. 19. (9. 10-8 ) ( 10-6 ) 1. (1.161 10-9 ) (4.3 10-6 ) 3. (.376 10-4 ) (7. 10-8 ) 0. (4.8 104 ) (3 10-5 ). ( 4.65 1 0 10 ) (1.5 10 4 ) 4. (8.74 10-3 ) (1.9 10 5 ) Chapter 7 93 Glencoe Algebra 1
NAME DATE PERID 7-3 Practice Scientific Notation Epress each number in scientific notation. 1. 1,900,000. 0.000704 3. 50,040,000,000 4. 0.0000000661 Epress each number in standard form. 5. 5.3 10 7 6. 1.09 10-4 7. 9.13 10 3 8. 7.90 10-6 Evaluate each product. Epress the results in both scientific notation and standard form. 9. (4.8 10 4 )(6 10 6 ) 10. (7.5 10-5 )(3. 10 7 ) 11. (.06 10 4 )(5.5 10-9 ) 1. (8.1 10-6 )(1.96 10 11 ) 13. (5.9 10 8 )(9.7 10 4 ) 14. (1.45 10-6 )(7. 10-5 ) Evaluate each quotient. Epress the results in both scientific notation and standard form. 15. (4. 1 0 5 ) (3 1 0-3 ) 17. (7.05 1 0 1 ) (9.4 1 0 7 ) 16. (1.76 1 0-11 ) (. 1 0-5 ) 18. (.04 1 0-4 ) (3.4 1 0 5 ) 19. GRAVITATIN Issac Newton s theor of universal gravitation states that the equation F = G m m 1 can be used to calculate the amount of gravitational force in newtons r between two point masses m 1 and m separated b a distance r. G is a constant equal to 6.67 10-11 N m kg. The mass of the earth m 1 is equal to 5.97 10 4 kg, the mass of the moon m is equal to 7.36 10 kg, and the distance r between the two is 384,000,000 m. Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. a. Epress the distance r in scientific notation. b. Compute the amount of gravitational force between the earth and the moon. Epress our answer in scientific notation. Chapter 7 94 Glencoe Algebra 1
NAME DATE PERID 10-7 Skills Practice Similar Triangles Determine whether each pair of triangles is similar. Justif our answer. 1. E. B 50 U 60 Y A 40 D C F V 57 W X 60 60 Z 3. K 4. F J 40 G K 63 45 40 E G H J 65 5 5 F E H Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Find the missing measures for the pair of similar triangles 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 = 4 9. q = 6, s =, t = 3, u = 1 P r Q q p R S u T t s U 10. p = 3, q =, r = 1, u = 1 3 11. p = 14, q = 7, u =.5, t = 5 1. r = 6, s = 3, t = 1 8, u = 9 4 Chapter 10 147 Glencoe Algebra 1
NAME DATE PERID 10-7 Practice Similar Triangles Determine whether each pair of triangles is similar. Justif our answer. 1. U P. C 80 D G 31 59 R Q S T 47 E H 47 56 F Find the missing measures for the pair of similar triangles if ABC DEF. f E d c B a 3. c = 4, d = 1, e = 16, f = 8 D e F A b C 4. e = 0, a = 4, b = 30, c = 15 5. a = 10, b = 1, c = 6, d = 4 6. a = 4, d = 6, e = 4, f = 3 7. b = 15, d = 16, e = 0, f = 10 8. a = 16, b =, c = 1, f = 8 9. a = 5, b = 3, f = 11, e = 7 10. c = 4, d = 6, e = 5.65, f = 1 11. SHADWS Suppose ou are standing near a building and ou want to know its height. The building casts a 66-foot shadow. You cast a 3-foot shadow. If ou are 5 feet 6 inches tall, how tall is the building? 1. MDELS Truss bridges use triangles in their support beams. Moll made a model of a truss bridge in the scale of 1 inch = 8 feet. If the height of the triangles on the model is 4.5 inches, what is the height of the triangles on the actual bridge? Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 10 148 Glencoe Algebra 1