Problem 1PE: For Exercises 1-2, write the interval notation and set-builder notation for the set defined by the... Problem 2PE: For Exercises 1-2, write the interval notation and set-builder notation for the set defined by the... Problem 3PE: For Exercises 3-4, write an absolute value expression to represent the distance between the two... Problem 4PE: For Exercises 3-4, write an absolute value expression to represent the distance between the two... Problem 5PE: For Exercises 5-8, determine whether the statement is true or false. 0.34 Problem 6PE: For Exercises 5-8, determine whether the statement is true or false. Problem 7PE: For Exercises 5-8, determine whether the statement is true or false. Problem 8PE: For Exercises 5-8, determine whether the statement is true or false. 11,2 Problem 9PE: For Exercises 9-10, simplify. 12(99)2(2)37+1 Problem 10PE: For Exercises 9-10, simplify. 10282(164)2 Problem 11PE: One type of mathematical model is a formula that approximates the value of the _____ variable terms... Problem 12PE: Model _______ is a term used to describe a situation in which a formula or model gives a poor or... Problem 13PE: A _____ is a product of factors that may include constants and variables. Problem 14PE: The numerical _________ of a term is the constant factor within the term. Problem 15PE: The _______ properties of addition and multiplication indicate that the order in which two real... Problem 16PE: The sum of a number and its additive inverse is _________. Problem 17PE: The number _______ is the identity element of multiplication. Problem 18PE: Zero is the _______ element of addition. Problem 19PE: The additive inverse of a real number x is ______. Problem 20PE: The statement a(b + c) = ab + ac represents the __________ property of multiplication over addition. Problem 21PE: The multiplicative inverse of a nonzero real number is also called the _________ of the number. Problem 22PE: The ________ property of addition indicates that a + (b + c) = (a + b) + c. Problem 23PE: The associative property of multiplication indicates that a (b c) = __________. Problem 24PE: The number _________ is the only real number that does not have a multiplicative inverse. Problem 25PE: Gas mileage depends in part on the speed of the vehicle. The gas mileage m (in mpg) of a certain... Problem 26PE: The bacterium Pseudomonas aeruginosa is cultured with an initial population of approximately 10,000... Problem 27PE: Data from the Bureau of Labor Statistics Consumer Expenditure Survey show a decrease in spending on... Problem 28PE: Selena started a new diet and exercise program, and lost 1.2 lb per week. If her starting weight was... Problem 29PE: The temperature at noon in Orlando, Florida, in July is typically 16F warmer than the temperature at... Problem 30PE: Scientists often use the Kelvin scale to measure temperature. The temperature in Kelvin K is 273.1... Problem 31PE: The retail price P for a sofa is the sum of the wholesale price W and the markup M. Write a model to... Problem 32PE: The sale price S for a tractor is the difference of the original price P and the discount D. Write a... Problem 33PE: Jake is 1 yr younger than Charlotte. a. Write a model for Jakes age J in terms of Charlottes age C.... Problem 34PE: For a recent NFL season, Aaron Rogers had 9 more touchdown passes than Joe Flacco. a. Write a model... Problem 35PE: At the end of the summer, a home store discounts an outdoor grill for at least 25% of the original... Problem 36PE: When Ms. Tibbets has excellent service at a restaurant, the amount she leaves for a tip t is at... Problem 37PE: Suppose that an object is dropped from a height h. Its velocity v at impact with the ground is given... Problem 38PE: The height of a sunflower plant can be determined by the time t in weeks after the seed has... Problem 39PE: A power company charges one household $0.12 per kilowatt-hour (kWh) and $14.89 in monthly taxes.... Problem 40PE: A utility company charges a base rate for water usage of $13.50 per month, plus $3.58 for every... Problem 41PE: The cost C (in $) to rent an apartment is $640 per month, plus a $500 nonrefundable security... Problem 42PE: For a certain college, the cost C (in $) for taking classes the first semester is $105 per... Problem 43PE: A hotel charges $159 per night plus an 11% nightly room tax. a. Write a formula to represent the... Problem 44PE: A hotel charges $149 per night plus a 16% nightly room tax. In addition, there is a one-time parking... Problem 45PE: For Exercises 45-50, list the terms and coefficients of each term. (See Example 4) 12x2y5xy4+9.2xy3 Problem 46PE: For Exercises 45-50, list the terms and coefficients of each term. (See Example 4) 6c2d6.4cd5+d6 Problem 47PE: For Exercises 45-50, list the terms and coefficients of each term. (See Example 4) 5m Problem 48PE: For Exercises 45-50, list the terms and coefficients of each term. (See Example 4) 2n Problem 49PE: For Exercises 45-50, list the terms and coefficients of each term. (See Example 4) xy+z Problem 50PE: For Exercises 45-50, list the terms and coefficients of each term. (See Example 4) m3+n Problem 51PE: For Exercises 51-56, apply the commutative property of addition or multiplication. 7+x Problem 52PE: For Exercises 51-56, apply the commutative property of addition or multiplication. 9+z Problem 53PE: For Exercises 51-56, apply the commutative property of addition or multiplication. 3+w Problem 54PE: For Exercises 51-56, apply the commutative property of addition or multiplication. 11+p Problem 55PE: For Exercises 51-56, apply the commutative property of addition or multiplication. y13 Problem 56PE: For Exercises 5156, apply the commutative property of addition or multiplication. z52 Problem 57PE: For Exercises 5760, apply the associative property of addition or multiplication. Then simplify if... Problem 58PE: For Exercises 5760, apply the associative property of addition or multiplication. Then simplify if... Problem 59PE: For Exercises 5760, apply the associative property of addition or multiplication. Then simplify if... Problem 60PE: For Exercises 5760, apply the associative property of addition or multiplication. Then simplify if... Problem 61PE: For Exercises 6168, (a) identify the additive inverse and (b) identify the multiplicative inverse,... Problem 62PE: For Exercises 6168, (a) identify the additive inverse and (b) identify the multiplicative inverse,... Problem 63PE: For Exercises 6168, (a) identify the additive inverse and (b) identify the multiplicative inverse,... Problem 64PE: For Exercises 6168, (a) identify the additive inverse and (b) identify the multiplicative inverse,... Problem 65PE: For Exercises 6168, (a) identify the additive inverse and (b) identify the multiplicative inverse,... Problem 66PE: For Exercises 6168, (a) identify the additive inverse and (b) identify the multiplicative inverse,... Problem 67PE: For Exercises 6168, (a) identify the additive inverse and (b) identify the multiplicative inverse,... Problem 68PE: For Exercises 6168, (a) identify the additive inverse and (b) identify the multiplicative inverse,... Problem 69PE: For Exercises 6974, combine like terms. (See Example 5) 14w33w3+w3 Problem 70PE: For Exercises 6974, combine like terms. (See Example 5) 12t5t56t3 Problem 71PE: For Exercises 6974, combine like terms. (See Example 5) 3.9x3y2.2xy3+5.1x34.7xy3 Problem 72PE: For Exercises 6974, combine like terms. (See Example 5) 0.004m4n0.005m3n20.01m4n+0.007m3n2 Problem 73PE: For Exercises 6974, combine like terms. (See Example 5) 13c7d+12cd725c7d2cd7 Problem 74PE: For Exercises 6974, combine like terms. (See Example 5) 110yz434y4z+yz4+32y4z Problem 75PE: For Exercises 7582, apply the distributive property. (See Example 6) 3(4p36.1p28p+2.2) Problem 76PE: For Exercises 7582, apply the distributive property. (See Example 6) 2(5a4a3+0.4a0.8) Problem 77PE: For Exercises 7582, apply the distributive property. (See Example 6) (4 x ) Problem 78PE: For Exercises 7582, apply the distributive property. (See Example 6) (12k7) Problem 79PE: For Exercises 7582, apply the distributive property. (See Example 6) 8(3x2+2x1) Problem 80PE: For Exercises 7582, apply the distributive property. (See Example 6) 6(5y23y+4) Problem 81PE: For Exercises 7582, apply the distributive property. (See Example 6) 23(6x2y18yz2+2z3) Problem 82PE: For Exercises 7582, apply the distributive property. (See Example 6) 34(12p5q8p4q26p3q) Problem 83PE: For Exercises 8390, simplify each expression. (See Example 7) 2(4w+8)+7(2w4)+12 Problem 84PE: For Exercises 8390, simplify each expression. (See Example 7) 3(2z4)+8(z9)+84 Problem 85PE: For Exercises 8390, simplify each expression. (See Example 7) (4u8v)3(7u2v)+2v Problem 86PE: For Exercises 8390, simplify each expression. (See Example 7) (10xz)2(8x4z)3x Problem 87PE: For Exercises 8390, simplify each expression. (See Example 7) 124[(82v)+5(3w4v)]w Problem 88PE: For Exercises 8390, simplify each expression. (See Example 7) 62[(9z+6y)8(yz)]11 Problem 89PE: For Exercises 8390, simplify each expression. (See Example 7) 2y2[1323(6y29)10]+9 Problem 90PE: For Exercises 8390, simplify each expression. (See Example 7) 6[5t234(128t2)+5]+11t2 Problem 91PE: For Exercises 9196, evaluate each expression for the given values of the variables. b2afora=1,b=6 Problem 92PE: For Exercises 9196, evaluate each expression for the given values of the variables.... Problem 93PE: For Exercises 9196, evaluate each expression for the given values of the variables.... Problem 94PE: For Exercises 9196, evaluate each expression for the given values of the variables.... Problem 95PE: For Exercises 9196, evaluate each expression for the given values of the variables.... Problem 96PE: For Exercises 9196, evaluate each expression for the given values of the variables. 43r3for227r=3 Problem 97PE: The width of a rectangle is 3 ft less than twice the length. Write a model for the width W in terms... Problem 98PE: The longest side of a triangle is 5 ft less than three times the shortest side. Write a model for... Problem 99PE: Total college enrollment in the United States increased by 439,000 students between the years 2008... Problem 100PE: The average cost per kilowatt-hour for residential electricity increased by 0.25� between 2010 and... Problem 101PE: Under selected conditions, a sports car gets 15 mpg in city driving and 25 mpg for highway driving.... Problem 102PE: Under selected conditions, a sedan gets 22 mpg in city driving and 32 mpg for highway driving. The... Problem 103PE: Explain the difference between the commutative property of addition and the associative property of... Problem 104PE: Explain why 0 has no multiplicative inverse. Problem 105PE: For Exercises 105106, use a calculator to evaluate each expression for the given values of the... Problem 106PE: For Exercises 105106, use a calculator to evaluate each expression for the given values of the... format_list_bulleted