34 Chapter 1Solving Linear Equations 52. USING STRUCTURE Fill in the equation x with a, b, c, or d so that the equation is graphed correctly.abcddABSTRACT REASONING In Exercises 53−56, complete the statement with always, sometimes, or never. Explain your reasoning. 53. If x2 a2, then x is ________ equal to a . 54. If a and b are real numbers, then a b is _________ equal to b a . 55. For any real number p, the equation x 4 p will ________ have two solutions. 56. For any real number p, the equation x p 4 will ________ have two solutions. 57.WRITING Explain why absolute value equations can have no solution, one solution, or two solutions. Give an example of each case. 58. THOUGHT PROVOKING Describe a real-life situation that can be modeled by an absolute value equation with the solutions x 62 and x 72. 59. CRITICAL THINKING Solve the equation shown. Explain how you found your solution(s).8 x + 2 6 5 x + 2 + 360. HOW DO YOU SEE IT? The circle graph shows the results of a survey of registered voters the day of an election.Democratic:47%Republican:42%Libertarian:5%Error: ±2%Green: 2%Which Party’s CandidateWill Get Your Vote?Other: 4% The error given in the graph means that the actual percent could be 2% more or 2% less than the percent reported by the survey. a. What are the minimum and maximum percents of voters who could vote Republican? Green? b. How can you use absolute value equations to represent your answers in part (a)? c. One candidate receives 44% of the vote. Which party does the candidate belong to? Explain. 61. ABSTRACT REASONING How many solutions does the equation a x + b + c d have when a> 0 and c d? when a < 0 and c > d? Explain your reasoning.Maintaining Mathematical ProficiencyMaintaining Mathematical ProficiencyIdentify the property of equality that makes Equation 1 and Equation 2 equivalent. (Section 1.1) 62. Equation 1 3x + 8 x 1Equation 2 3x + 9 x 63. Equation 1 4y 28Equation 2 y 7Use a geometric formula to solve the problem. (Skills Review Handbook) 64. A square has an area of 81 square meters. Find the side length. 65. A circle has an area of 36π square inches. Find the radius. 66. A triangle has a height of 8 feet and an area of 48 square feet. Find the base. 67. A rectangle has a width of 4 centimeters and a perimeter of 26 centimeters. Find the length.Reviewing what you learned in previous grades and lessons