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Solve each equation SEE EXAMPLES 1 AND 2 14. k = a - y, y 13. 2 = a; c 16. w = - b' 15. dfg = h; f 18. 2n = 4x + 2y; n 17. 2x + 3y = 12; y %3D 3 20. y = 5u 19. abc = b. + 5; u 21. 8(х - а) - 2(2а - х); х %3D

Solve each equation SEE EXAMPLES 1 AND 2 14. k = a - y, y 13. 2 = a; c 16. w = - b' 15. dfg = h; f 18. 2n = 4x + 2y; n 17. 2x + 3y = 12; y %3D 3 20. y = 5u 19. abc = b. + 5; u 21. 8(х - а) - 2(2а - х); х %3D

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Can you guys give me the answers for 13-27? Please
Additional Exercises Available Oi O Practice Tuton Scan for Multimedia Solve each equation for the indicated variable 14. k = a - y; y PRACTICE O PRACTICE & PROBLEM SOLVING UNDERSTAND 9. Mathematical Connections Some two-step equations can be written in the form ax +b-C where a, b, and c are constants and x is the variable. SEE EXAMPLES 1 AND 2 13. 2 = a; c 16. w = b* 15. dfg = h; f 18. 2n = 4x + 2y; n 17. 2x + 3y = 12; y 20. y = , + 5; u a. Write the equation ax +b=c in terms of x: b. Use the formula to solve 3x + 7 = 19 and - 1= 5. 19. abc = }; b 21. 8(x – a) = 2(2a – x); x bni o 10. Make Sense and Persevere The flag of the Bahamas includes an equilateral triangle. The perimeter of the triangle is P = 3s, where s is the side length. Solve for s. Use your formula to find the dimensions of the flag in feet and the area in square feet when the perimeter of the triangle is 126 inches. © MP.1 22. 12(m + 3x) = 18(x – 3m); m 23. V = ar?h; h that is ecual 24. V = ar²(h – 1); h 25. y(a – b) = c(y + a); y 3V - b); y 26. x = 1.9s Gm. 27. F = - 28. Use the area formula A = lw to write a formula for the length l of the baking sheet shown. SEE EXAMPLE 3 etepinummo 11. Error Analysis Describe and correct the error a student made when solving kx + 3x = 4 for x. © MP.3 A = 117 in? omsilliwa 295up kx + 3x = 4 kx + 3x - 3x = 4 - 3x kx = 4 - 3x slumd kx - 4- 3x k meilw.d up ow 29. You can determine the approximateups temperature in degrees Fahrenheit by countir the number of times a cricket chirps in one minute. Then multiply that by 7, divide by 30 and add 40. SEE EXAMPLE 4 X = 4-3x k ospevn 2. Higher Order Thinking Given the equation ax + b = c, solve for x. Describe each statement as always, sometimes, or never true. Explain a. Write a formula for estimating the temperature based on the number of cricket chirps. your answer. a. If a, b, c, are whole numbers, x is a whole number. b. Write a new formula for the number of chirps you would expect in one minute at given Fahrenheit temperature. b. If a, b, c, are integers, x is an integer. c. If a, b, c, are rational numbers, x is a rational c. Use the formula to find the number of chirps in one minute when the temperat: is 89°F. number. B TOPIC 1 Solving Equations and Inagual'l
Transcribed Image Text:Additional Exercises Available Oi O Practice Tuton Scan for Multimedia Solve each equation for the indicated variable 14. k = a - y; y PRACTICE O PRACTICE & PROBLEM SOLVING UNDERSTAND 9. Mathematical Connections Some two-step equations can be written in the form ax +b-C where a, b, and c are constants and x is the variable. SEE EXAMPLES 1 AND 2 13. 2 = a; c 16. w = b* 15. dfg = h; f 18. 2n = 4x + 2y; n 17. 2x + 3y = 12; y 20. y = , + 5; u a. Write the equation ax +b=c in terms of x: b. Use the formula to solve 3x + 7 = 19 and - 1= 5. 19. abc = }; b 21. 8(x – a) = 2(2a – x); x bni o 10. Make Sense and Persevere The flag of the Bahamas includes an equilateral triangle. The perimeter of the triangle is P = 3s, where s is the side length. Solve for s. Use your formula to find the dimensions of the flag in feet and the area in square feet when the perimeter of the triangle is 126 inches. © MP.1 22. 12(m + 3x) = 18(x – 3m); m 23. V = ar?h; h that is ecual 24. V = ar²(h – 1); h 25. y(a – b) = c(y + a); y 3V - b); y 26. x = 1.9s Gm. 27. F = - 28. Use the area formula A = lw to write a formula for the length l of the baking sheet shown. SEE EXAMPLE 3 etepinummo 11. Error Analysis Describe and correct the error a student made when solving kx + 3x = 4 for x. © MP.3 A = 117 in? omsilliwa 295up kx + 3x = 4 kx + 3x - 3x = 4 - 3x kx = 4 - 3x slumd kx - 4- 3x k meilw.d up ow 29. You can determine the approximateups temperature in degrees Fahrenheit by countir the number of times a cricket chirps in one minute. Then multiply that by 7, divide by 30 and add 40. SEE EXAMPLE 4 X = 4-3x k ospevn 2. Higher Order Thinking Given the equation ax + b = c, solve for x. Describe each statement as always, sometimes, or never true. Explain a. Write a formula for estimating the temperature based on the number of cricket chirps. your answer. a. If a, b, c, are whole numbers, x is a whole number. b. Write a new formula for the number of chirps you would expect in one minute at given Fahrenheit temperature. b. If a, b, c, are integers, x is an integer. c. If a, b, c, are rational numbers, x is a rational c. Use the formula to find the number of chirps in one minute when the temperat: is 89°F. number. B TOPIC 1 Solving Equations and Inagual'l
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