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1 To the Student This Skills Practice Workbook gives ou additional eamples and problems for the concept eercises in each lesson. The eercises are designed to aid our stud of mathematics b reinforcing important mathematical skills needed to succeed in the everda world. The materials are organized b chapter and lesson, with one Skills Practice worksheet for ever lesson in IMPACT Mathematics, Course 3. Alwas keep our workbook hand. Along with our tetbook, dail homework, and class notes, the completed Skills Practice Workbook can help ou in reviewing for quizzes and tests. To the Teacher These worksheets are the same ones found in the Chapter Resource Masters for IMPACT Mathematics, Course 3. The answers to these worksheets are available at the end of each Chapter Resource Masters Booklet. Copright b The McGraw-Hill Companies, Inc. All rights reserved. Ecept as permitted under the United States Copright Act, no part of this publication ma be reproduced or distributed in an form or b an means, or stored in a database or retrieval sstem, without prior written permission of the publisher. Send all inquiries to: Glencoe/McGraw-Hill 8787 rion Place Columbus, H 320 ISBN: MHID: Skills Practice Workbook, IMPACT Mathematics, Course 3 Printed in the United States of America
2 Table of Contents Lesson/Title Page 1-1 Direct Variation Slope Write Equations Lines Angle Relationships Constructions Understand Percents Work with Percents Eponents Eponential Relationships Radicals Rearrange Algebraic Epressions Monomials, Binomials, and Trinomials Special Products Smmetr and Reflection Rotation Translations, Dilations, and Combined Transformations Equations Inequalities Solve Sstems of Equations
3 8-1 Use Graphs and Tables to Solve Equations Quadratic Relationships Families of Quadratrics Inverse Variation Conjectures Backtracking Factoring Completing the Square The Quadratic Formula Functions Graphs of Functions Counting Strategies Modeling with Data Work with Algebraic Fractions Add and Subtract Algebraic Fractions iv Chapter 1
4 Lesson 1.1 Skills Practice Direct Variation Determine whether a linear relationship eists between the two quantities shown. Eplain our answer. 1. Fundraiser Profits 90 Profit ($) Cars Washed 2. Time (seconds) Distance (ards) Determine whether the relationship is a direct variation. Eplain our reasoning. 3. The graph in Eercise 1. The table in Eercise 2 Paper Costs The cost of paper is directl proportional to the number of reams bought. Suppose 2 reams cost $6. 5. Write an equation that could be used to find the cost of reams of paper. 6. Find the cost of 15 reams of paper. Phsical Science Recall that the length a spring stretches is directl proportional to the amount of weight attached to it. A certain spring stretches 5 centimeters when a 10-gram weight is attached. 7. Write a direct-variation equation relating the weight and the amount of stretch. 8. Estimate the stretch of the spring when it has a 2-gram weight attached. IMPACT Mathematics, Course 3 1
5 Lesson 1.2 Skills Practice Slope Find the slope of each line The points given in each table lie on a line. Graph the line. Then find the slope of the line b finding the ratio of rise to run Chapter 1
6 Lesson 1.3 Skills Practice Write Equations State the slope and -intercept of the graph of each equation. 1. = + 2. = = 3-1. = = 1 _ = - 1_ = = 2 9. = 3 _ 2-3 Graph a line with the given slope and -intercept. 10. Slope = Slope = Slope = _ 1 3 -intercept = - -intercept = -3 -intercept = 1 Graph each equation using the slope and -intercept. 13. = = = 1 _ = = - 3 _ = 2 _ 3-3 IMPACT Mathematics, Course 3 3
7 Lesson 2.1 Skills Practice Lines State the slope and -intercept of the graph of each equation. 1. = + 2. = = 3 1. = = 1 _ = - 1 _ = = 2 9. = 3 _ 2 3 State whether the equation is linear. If it is, identif the values of m and b. If an equation is not linear, eplain how ou know. 10. = 6 _ = ( + 2) + ( 1) = Sales The table gives Miranda s salar per week based on her sales during that week. Sales ($) Salar ($) a. Plot the points in the table on the grid. Salar Sales b. Draw a straight line through the points. c. Write an equation of the line ou drew. d. Use our equation to predict Miranda s salar if her total sales for a week are $900. Chapter 2
8 Lesson 2.2 Skills Practice Angle Relationships Classif each angle or angle pair using all names that appl Find the value of in each figure For Eercises 13 22, use the figure at the right. 13. Find m 5 if m 1 = Find m 2 if m 7 = Find m 3 if m 6 = Find m 8 if m = Find m 5 if m 8 = Find m 3 if m = Find m if m 5 = Find m 1 if m 2 = Find m 6 if m 7 = Find m 3 if m 1 = 13. IMPACT Mathematics, Course 3 5
9 Lesson 2.3 Skills Practice Constructions Construct a segment congruent to each segment Construct an angle congruent to each angle. 3.. Construct the perpendicular bisector of each segment Construct the bisector of each angle Chapter 2
10 Lesson 3.1 Skills Practice Understand Percents Write a percent proportion to solve each problem. Then solve. Round to the nearest tenth if necessar is what percent of 5? 2. What number is 25% of 0? is 60% of what number?. What percent of 8 is 6? 5. Find 15% of is 33% of what number? is what percent of 150? 8. What number is 30% of 10? is 60% of what number? 10. What percent of 60 is 2? 11. Find 90% of is 35% of what number? is what percent of 5? 1. What number is 75% of? is 0% of what number? 16. What percent of 0 is 15? 17. Find 5% of is 60% of what number? is what percent of 69? 20. Find 55% of is % of what number? is what percent of 20? 23. What number is 85% of 0? 2. 9 is 18% of what number? IMPACT Mathematics, Course 3 7
11 Lesson 3.2 Skills Practice Work with Percents Find each percent of change. Round to the nearest tenth of a percent if necessar. State whether the percent of change is an increase or a decrease. 1. riginal: 2. riginal: riginal: 80. riginal: 5 New: 6 New: 28 New: 52 New: riginal: riginal: riginal: 8 8. riginal: 91 New: 132 New: 105 New: 111 New: 77 Find the selling price for each item given the cost to the store and the markup. 9. Suit: $200, 50% markup 10. Tire: $50, 0% markup 11. Sport bag: $0, 30% markup 12. Radio: $120, 25% markup 13. Grill: $85, 15% markup 1. Microwave: $96, 20% markup 15. Chair: $10, 5% markup 16. Camcorder: $350, 33% markup 17. Camera: $25, 10% markup 18. Diamond ring: $70, 35% markup Find the sale price of each item to the nearest cent. 19. Shoes: $70, 10% off 20. Artwork: $250, 20% off 21. Speakers: $180, 30% off 22. Biccle: $320, 25% off 23. Antique chest: $179, 15% off 2. Pendant: $93.50, 5% off 25. Sofa: $79.95, 35% off 26. ven: $535.99, 20% off 27. Guitar: $88.20, 25% off 28. Weight machine: $919.70, 10% off 8 Chapter 3
12 Lesson.1 Skills Practice Eponents Write each epression using eponents m n n n m n 6. Evaluate each epression ( 2) (2 3 ) (3 2 ) (3 7 ) Simplif (3 2 ) ( 2 ) a 3 2a (m 2 n ) (2 3 ) ( 2 ) (a 7 b 2 ) 31. _ 10a 5a 32. Epress each number in standard form. _ 12b 5 -b 33. _ ( ) 3. (5a b 2 ) Epress each number in scientific notation , IMPACT Mathematics, Course 3 9
13 Lesson.2 Skills Practice Eponential Relationships Solve. 1. Population Suppose the population of Tin Town was 3,000 in Each ear the population doubled. a. Complete the chart to show the population each ear. Year Population 3,000 b. What number is each entr multiplied b to get to the net entr? c. If ou represent 2007 as ear 0, 2008 as ear 1, and so forth, which epression gives the population in ear n, 3,000 2 n, 3,000 n 2, 3,000 2, or 3,000 2n? d. If this trend continues, what will be the population of Tin Town in the ear 2012? e. Does this situation show eponential growth or eponential deca? f. What is the growth factor or deca factor? 2. Finances Kle saved $500 from a summer job. He plans to spend 1 _ 10 of his remaining savings each week on various forms of entertainment. a. How much will Kle have left after one week? b. How much will Kle have left after n weeks? c. Does this situation show eponential growth or eponential deca? 3. Savings Account Serena put $10 in her savings account in Januar. Let this be Month 0. Each month she plans to triple the amount that she deposits into the account. a. Complete the table to show the amount Serena plans to deposit each month. Month Amount $10 $30 b. Is this a case of eponential growth or eponential deca? c. How much does Serena plan to deposit in August?. Housing Mr. and Mrs. Boce bought a house for $96,000 in The real estate broker said that houses in their area were appreciating at an average annual rate of %. a. How much would their house be worth in 2007? b. How much would their house be worth in 2008? 10 Chapter
14 Lesson.3 Skills Practice Radicals Find each root _ _ _ Simplif 10. (-5) ( 17 ) b Solve each equation c 2 d 28. = a + 2 = c - 3 = 5 IMPACT Mathematics, Course 3 11
15 Lesson 5.1 Skills Practice Rearrange Algebraic Epressions Simplif each epression. 1. 7a + a 2. k - k 3. m + 3m b - b j + 8j - 7j q + 2q - q a a c c - d 11. 5h + h - h + 1-2h 12. 2(v - 5) + 7v (r + 9) (u - 1) (w - ) + 3w ( + 2) (c - 1) (n - ) - 3n 19. 5m m g + 1-6g (r - ) + r r a - - 2a + 3a (v + 3) v p p p f f f (d - ) + 2-2d d s s - 3s k k - 2(7 - k) g + 5-2g + 3(g - 2) 32. 7h h h (d - 1) d 12 Chapter 5
16 Lesson 5.2 Skills Practice Monomials, Binomials, and Trinomials Multipl or divide. 1. 2w 2 5w 2 2. (-6t 7 )(5t 2 ) 3. (3u 5 )(-9u 6 ). _ 12n5 n 2 5. _ 2t9 6t 6. _ -21s6 t 3 3 3s 2 t 7. 3( ) 8. (5a + 3b) 9. 2(5 + 3) 10. 8b(2b 5) 11. 9( 3k) a(3 + 6a) 13. _ _ 2a + 16b (m + )(m + 1) 17. (t + )(t - 3) 18. (3c + 1)(c - 2) 19. (d - 1)(5d - ) 20. (2m + 2)(3m - 3) 21. (c + 1)(2c + 1) 22. (5a - 2)(2a - 3) 23. (h - 2)(h - 1) 2. ( - )(2 - ) Write a product of binomials to represent the area of each figure. Then epand the epression IMPACT Mathematics, Course 3 13
17 Lesson 5.3 Skills Practice Special Products Find each product. 1. (n + 3) 2 2. ( + )( + ) 3. ( - 7) 2. (t - 3)(t - 3) 5. (b + 1)(b - 1) 6. (a - 5)(a + 5) 7. (p - ) 2 8. (z + 3)(z - 3) 9. (k + 2)(k + 2) 10. (r - 1)(r - 1) 11. (3g + 2)(3g - 2) 12. (2m - 3)(2m + 3) 13. (6 + u) 2 1. (r + s) (3q + 1)(3q - 1) 16. (c - f) (2k - 2) (w + 3h) (3p - )(3p + ) 20. (t + 2u) ( - ) (3b + 7)(3b - 7) 23. (3-3g)(3 + 3g) 2. (s 2 + r 2 ) (2k + m 2 ) (3u 2 - n) Geometr 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. 1 Chapter 5
18 Lesson 6.1 Skills Practice Smmetr and Reflection For Eercises 1 6, draw all lines of smmetr or, if there are none, write none Reflect the figure over the given line Graph the figure with the given vertices. Then graph the image of the figure after a reflection over the given ais and write the coordinates of its vertices. 10. Triangle ABC with vertices A(1, ), 11. Triangle DEF with vertices B(, 1), and C(2, 5); -ais D(-1, 2), E(-3, 1), and F(-, 5); -ais IMPACT Mathematics, Course 3 15
19 Lesson 6.2 Skills Practice Rotation In Eercises 1 9, determine whether the figure has rotational smmetr. Write es or no. If es, name its angles of rotation Graph the figure with the given vertices. Then graph the image of the figure after the indicated rotation about the origin and write the coordinates of its vertices. 10. Triangle ABC with vertices A(1, 5), 11. Triangle FGH with vertices B(3, ), and C(, 0); 90 F(, 2), G(1, 1), and H(1, 5); counterclockwise Chapter 6
20 Lesson 6.3 Skills Practice Translations, Dilations, and Combined Transformations In Eercises 1 3, translate the figure using the given vector In Eercises and 5, dilate the figure with the given scale factor.. Scale factor 2 5. Scale factor 1 _ 6. Draw the image of the figure under a dilation with scale factor 3 and the given projection point. IMPACT Mathematics, Course 3 17
21 Lesson 7.1 Skills Practice Equations Solve each equation b backtracking. Check our solution. 1. n _ 3-8 = _ q - 7 = _ 3 g + 6 = -12. _ c - 5 = (2c 5) = _ ( a 5 ) + 6 = 12 Solve each equation b doing the same thing to both sides. Check our solution b = 7b d 11 = 2d a 3 = 9a b = 21 + b k 23 = 6k h 3 = 6h c 2 = 3c p 7 = 5p d = 9d 18 Solve each equation. Check our solution (f + 2) + 9 5f = = (n + 2) n (2t 1) = (2b 6) b = ( + 3) = t t + 10 = 1 18 Chapter 7
22 Lesson 7.2 Skills Practice Inequalities List all the integers that satisf the inequalit < < n < < < 1 Graph all values for which the inequalit is true.. h > q < k Solve each inequalit. 8. a + < c + 5 < d t w n + 8 < r - 8 > 6 Graph each inequalit > IMPACT Mathematics, Course 3 19
23 Lesson 7.3 Skills Practice Solve Sstems of Equations Solve each sstem of equations b graphing. 1. = = + 1 = - 1 = = = - 1_ 2 + = = 3-3 Use elimination to solve each sstem of equations = a + b = = 32 + = 3 a - b = 12-2 = = = = = 32 - = = -7 Use substitution to solve each sstem of equations. 11. = 12. = = = = -1 + = 3 1. = = = = = 5 = 3-20 Chapter 7
24 Lesson 8.1 Skills Practice Use Graphs and Tables to Solve Equations Maria tossed a ball into the air. Its height, h feet, after t seconds is given b the equation h = 8t - 16t 2. Use this information to do Eercises Find the height of the ball after 1 second. 2. Find the height of the ball after 2 seconds. 3. Find the maimum height the ball reaches and the time it takes it to reach that height.. Sketch the graph of the equation on our calculator. 5. Use our graph to solve the equation 8t - 16t 2 = 20. In Eercises 6 9, Juanita is crocheting an afghan with an area A close to 2 square feet. The length is 1 foot more than the width w. 6. Write an equation for the area of Juanita s afghan using A for area and w for width. 7. Complete the table from the equation. w A 8. Between which two consecutive numbers should w be to make the area close to 2 square feet? 9. Find a value of w rounded to the nearest hundredth to make the area as close as possible to 2 square feet. Solve. 10. Use our calculator s table feature to approimate the solution of the equation 2a(a - ) = 30 to the nearest hundredth. IMPACT Mathematics, Course 3 21
25 Lesson 8.2 Skills Practice Quadratic Relationships In Eercises 1 and 2, refer to the table and graph Describe the graph. 2. What is the line of smmetr? In Eercises 3 5, tell whether each graph could represent a quadratic relationship. Eplain how ou decided In Eercises 6 9, use the figures showing the pattern of the tiles. Stage 1 Stage 2 Stage 3 6. Complete the table giving the area in square units A of Stage n. n A Describe the pattern. 8. Draw the net two stages. 9. Write an equation relating the area A to the number of the stage n. 22 Chapter 8
26 Lesson 8.3 Skills Practice Families of Quadratics Use a table of values to graph each equation. 1. = 2-2. = h 20 h Distance (km) Distance (km) Height (m) Height (m) Identif the values of a, b, and c in each quadratic equation. Identif the verte as a maimum or minimum. Graph the relationship. State the coordinates of the verte. 3. = 2 2. = h 20 h Distance (km) Height (m) Distance (km) Height (m) 5. = = Distance (km) h Height (m) Distance (km) h Height (m) IMPACT Mathematics, Course 3 23
27 Lesson 8. Skills Practice Inverse Variation Graph each inverse variation. 1. = = = 8. = Determine whether the equation represents a direct variation an inverse variation, or neither. 5. = 3 6. = = 3 8. = 3 _ 9. = _ = Potatoes Marsha can peel 8 potatoes in 20 minutes. At this rate, how long will it take her to peel 20 potatoes? Does this situation represent a direct variation or an inverse variation? 12. Painting It takes Marcus 6 hours to paint the ceiling b himself. If three friends join him, how long will it take the four of them to paint the ceiling? Does this situation represent a direct variation or an inverse variation? 2 Chapter 8
28 Lesson 8.5 Skills Practice Conjectures Make a conjecture about whether the relationship between and is linear, quadratic, or neither. Eplain how ou decide Roberto makes the conjecture that the product of two odd numbers is an odd number. He writes the following proof: (2n + 1)(2n + 1) = n 2 + n + 1 Since n 2 and n are both divisible b 2, the are both even and their sum is even. The number 1 is odd, so the final sum is odd. a. What is wrong with Roberto s proof? b. Write a correct proof of his conjecture. IMPACT Mathematics, Course 3 25
29 Lesson 9.1 Skills Practice Backtracking Solve each equation b backtracking. Show the flowchart ou use. 1. 5a = 2. n = 7 Solve each equation b backtracking. 3. p_ 3 = 8. 6_ m = 5. 2 _ c + 6 = k = b 2 6 = (t + ) 2 = z 3 = (b 2) 2 7 = (2 c) 3 = (2 ) 2 9 = g 2 7 = 2 1. d 2 = 15. (6 8) 2 = r + 1 = 2 26 Chapter 9
30 Lesson 9.2 Skills Practice Factoring Factor each trinomial. 1. t 2 + 8t n 2 + 7n p 2 + 9p h 2 + 9h n 2 + 3n g 2 + 3g s 2 + s w 2 - w b 2-9b c 2-15c m + m 2 Solve each equation b factoring = b 2-7b + 12 = m 2 + 5m + 6 = d 2 + 7d + 10 = = p 2-3p = h 2 + 2h = a 2 + 1a = n 2-36 = 5n 26. w = 11w 27 Chapter 9 IMPACT Mathematics, Course 3 27
31 Lesson 9.3 Skills Practice Completing the Square Solve each equation b taking the square root of each side. 1. c 2-12c + 36 = 2. w 2-10w + 25 = b b + 6 = = 5. r 2 + r + = 1 6. a 2-8a + 16 = 16 Find the value of c that makes each trinomial a perfect square. 7. g 2 + 6g + c c 9. a 2-1a + c 10. n 2-2n + c 11. s 2-18s + c 12. p p + c Solve each equation b completing the square = 0 1. v 2-8v + 15 = q 2 + 6q = r 2-2r = m 2-1m + 30 = b b + 21 = z 2 - z - 5 = = r 2-8r + 12 = p 2-2p = a a = g 2 + 8g = Chapter 9
32 Lesson 9. Skills Practice The Quadratic Formula Solve each equation b using the Quadratic Formula. Round to the nearest tenth if necessar. 1. u 2-9 = 0 2. n 2 - n - 20 = 0 3. s 2-5s - 36 = 0. b b + 30 = 0 5. c 2-7c = p 2 + p = a 2-9a + 22 = = = h 2-3h = p 2 + 5p + = g 2 + 7g = t 2 + 2t - 3 = = 0 State the value of the discriminant for each equation. Then determine the number of real roots of the equation. 15. q 2 + q + 3 = m 2 + 2m + 1 = a 2 - a + 10 = w 2 + 6w + 7 = z 2-2z - 7 = = d 2 + 5d - 8 = s 2 + 6s + 12 = u 2 - u + 10 = h 2 + 7h + 3 = 0 IMPACT Mathematics, Course 3 29
33 Lesson 10.1 Skills Practice Functions Determine whether each relation is a function. 1. X Y 2. X Y {(2, 5), (, -2), (3, 3), (5, ), (-2, 5)} 6. {(6, -1), (-, 2), (5, 2), (, 6), (6, 5)} Use the function machine. If the input is, what is the output? 10. Find the domain of f() = _ ( + 3). If f() = 3-2 and g() = 2 -, find each value. 11. f() 12. f(8) 13. f(-2) 1. g(2) 15. g(-3) 16. g(-6) 17. f(2) f(1) g(0) 30 Chapter 10
34 Lesson 10.2 Skills Practice Graphs of Functions Graph each function. Find the range, coordinates of the verte, and equation of the line of smmetr of each. 1. f() = ( + ) f() = ( 1) The graph of g is translated 9 units to the left of the graph of f() = 2. Write an equation for the function g so that the graph of g has the same shape as the graph of f.. a. Complete the square to rewrite f() = in the form f() = a( h) 2 + k. b. Find the line of smmetr. c. Find the coordinates of the verte. 5. a. Find the -intercepts of the parabola g() = ( 6)( + ). b. Use the -intercepts to find the line of smmetr and the verte. c. Sketch the parabola. IMPACT Mathematics, Course 3 31
35 Lesson 11.1 Skills Practice Counting Strategies In Eercises 1-2, the spinner at the right is spun twice. 1. Draw a tree diagram to represent the situation. C A 2. What is the probabilit of getting at least one A? B For each situation in Eercises 3, make a tree diagram to show the sample space. Then give the total number of possible outcomes. 3. You can choose between a hamburger and a hot dog, and ou have a choice of potato salad or macaroni salad.. You can plant a garden with roses, zinnias, or cosmos in ellow, red, orange, or purple. 5. Two number cubes are rolled. How man outcomes are possible? 6. Draw a tree diagram to find the number of outcomes if a number cube is rolled and a coin is tossed. Find the probabilit of each event in Eercises A coin is tossed twice. What is the probabilit of getting two tails? 8. What is the probabilit of rolling a or higher on a si-sided number cube. 9. What is the probabilit of rolling an even number on an eight-sided die if all the possibilities are equall likel. 10. A hat comes in black, red, or white and in medium or large. Draw a tree diagram to determine the number of outcomes. Then find the probabilit that a hat would be black and large if all the possibilities are equall likel. 11. A customer has a choice of peach or vanilla ogurt topped with peanuts, granola, walnuts, or almonds. Make an organized list to determine the number of possible outcomes. Then find the probabilit that the net customer chooses peach ogurt topped with peanuts if each possibilit is equall likel. 12. In how man was can 5 friends be lined up for a picture? 32 Chapter 11
36 Lesson 11.2 Skills Practice Modeling with Data Television The number of hours eighth and ninth graders from one school spent watching television per week is shown below. Use the bo-and-whisker plots in Eercises 1 3. Eighth Grade Ninth Grade How man hours do the middle 50% of the eighth and ninth graders spend watching television per week? 2. Half of the eighth graders watch television at least how man hours or more per week? 3. Half of the ninth graders watch television no more than how man hours per week? Life Science For Eercises 7, refer to the table at the right. It shows average life spans of 21 mammals.. Find the lower etreme, lower quartile, median, upper quartile, and upper etreme. 5. Draw a bo-and-whisker plot of the data What fraction of the data is between 5 and 12? Life Span (r) Find the range. IMPACT Mathematics, Course 3 33
37 Lesson 12.1 Skills Practice Work with Algebraic Fractions Find the values of the variable that make the epression undefined. 1. _ 2p p _ n + 1 n + 3. _ k + 2 k 2 -. _ Simplif each epression. 5. _ 21bc 28bc 2 6. _ 12m2 n 2mn 3 7. _ n + 6 3n _ + Find each product or quotient. 9. _ 1 c _ c _ m - 6 _ _ c d _ d c _ _ _ 3b + 3 (b + 1) b m _ 2 n _ _ a + a 7 _ a + 5 a _ _ _ 2n + 6 n - _ n + 3 n - m3 18. _ np _ 2m 2 np 3 Chapter 12
38 Lesson 12.2 Skills Practice Add and Subtract Algebraic Fractions Find each sum. 1. _ _ 5 _ 3. _ 3k 1 + 5k 1 5. _ _ _ r 9 + _ 5r 9. t 9 + t _ g _ g _ 3 + _ 8. 3_ 2 8a + _ 5 2 2a 9. _ m + 3 2m + _ m m _ _ - 6 Find each difference. 11. _ _ 3 5 _ 13. _ 8a 11-7a _ 7n 10 - _ 3n _ 3p 2 - _ p _ t _ t _ r - 2 _ r _ ( + 2) - _ 16. _ c _ _ _ c + 6 (d - 1) 20. _ - _ 3 6 d Solve each equation. Make sure our answer does not cause an denominator to be zero _ c = 2_ c m + 1 = 12 m + 2 _ 25. _ s s = 1 _ _ q = 5_ q m _ 2-1 = 10m _ m m - - _ m - 11 m + = _ m 1 IMPACT Mathematics, Course 3 35
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