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All Textbook Solutions for PREALGEBRA

In the following exercises, solve. Stock Market During the week of June 22, 2009, the change in the Dow Jones Industrial Average each day was: Monday -201 Tuesday -16 Wednesday -23 Thursday +172 Friday -34 What was the overall change for the week?In the following exercises, solve. Explain why the sum of -8 and 2 is negative, but the sum of 8 and -2 and is positive.In the following exercises, solve. Give an example from your life experience of adding two negative numbers.TRY IT :: 3.59 Model the expression: 64 wTRY IT :: 3.60 Model the expression: 74 TRY IT :: 3.61 Model the expression: 6(4)TRY IT :: 3.62 Model the expression: 7(4)TRY IT :: 3.63 Model the expression: 64 TRY IT :: 3.64 Model the expression: 74 TRY IT :: 3.65 Model the expression: 6(4)TRY IT :: 3.66 Model the expression: 7(4)TRY IT :: 3.67 Model each subtraction. a. 7(8) b. 2(2) c. 41 d. -6-8 yTRY IT :: 3.68 Model each subtraction. a. 4(6) b. 8(1) c. 73 d.42 TRY IT :: 3.69 Model each subtraction expression. a. 79 b. 5(9)TRY IT :: 3.70 Model each subtraction expression. a. 47 b. 7(10)TRY IT :: 3.71 Simplify each expression: a.sw 2113and 21+(13) b. yyy 117and yyyy 11+(7)TRY IT :: 3.72 Simplify each expression: a. 157and 15+(7) b. 148and 14+(8)TRY IT :: 3.73 Simplify each expression: a. 6(13)and 6+13 b. 5(1)and 5+1 TRY IT :: 3.74 Simplify each expression: a. 4(19)and 4+19 b. 4(7)and 4+7 TRY IT :: 3.75 Simplify the expression: 67(38)TRY IT :: 3.76 Simplify the expression: 83(57)TRY IT :: 3.77 Simplify the expression: 8(31)9 TRY IT :: 3.78 Simplify the expression: 12(96)14 TRY IT :: 3.79 Simplify the expression: 629189.TRY IT :: 3.80 Simplify the expression: 253749 TRY IT :: 3.81 Evaluate each expression: y7when a. y=5 b. y=8 TRY IT :: 3.82 Evaluate each expression: m3when a. m=1 b. m=4 TRY IT :: 3.83 Evaluate each expression: 17kwhen a.k=19 b. k=19 TRY IT :: 3.84 Evaluate each expression: sw 5bwhen a. b=14 b. b=14 TRY IT :: 3.85 Translate and simplify: a. the difference of 14 and -23 b. subtract 21 from -17 TRY IT :: 3.86 Translate and simplify: a. the difference of 11 and -19 b. subtract 18 from -11 TRY IT :: 3.87 The temperature in Anchorage, Alaska one morning was 15 degrees Fahrenheit. By mid-afternoon the temperature had dropped to 30 degrees below zero. What was the difference between the morning and afternoon temperatures?TRY IT :: 3.88 The temperature in Denver was -6 degrees Fahrenheit at lunchtime. By sunset the temperature had dropped to -15 degree Fahrenheit. What was the difference between the lunchtime and sunset temperatures?TRY IT :: 3.89 One day, John hiked to the 10,023 foot summit of Haleakala volcano in Hawaii. The next day, while scuba diving, he dove to a cave 80 feet below sea level. What is the difference between the elevation of the summit of Haleakala and the depth of the cave?TRY IT :: 3.90 The submarine Nautilus is at 340 feet below the surface of the water and the submarine Explorer is 573 feet below the surface of the water. What is the difference in the position of the Nautilus and the Explorer?TRY IT :: 3.91 Araceli has $75 in her checking account and writes a check for $27. a. What is the balance after she writes the check? b. She writes a second check for $50. What is the new balance? c. The check for $20 that she sent a charity was never cashed. What is the balance in Araceli’s checking account now?TRY IT :: 3.92 Genevieve’s bank account was overdrawn and the balance is -$78. a. She deposits a check for $24 that she earned babysitting. What is the new balance? b. She deposits another check for $49. Is she out of debt yet? What is her new balance?In the following exercises, model each expression and simplify. 82 In the following exercises, model each expression and simplify. 93 In the following exercises, model each expression and simplify. 5(1)In the following exercises, model each expression and simplify. 6(4)In the following exercises, model each expression and simplify. 54 In the following exercises, model each expression and simplify. 72 In the following exercises, model each expression and simplify. 8(4)In the following exercises, model each expression and simplify. 7(3)In the following exercises, simplify each expression. a. 156 b. 15+(6)In the following exercises, simplify each expression. a. 129 b. 12+(9)In the following exercises, simplify each expression. a. 4428 b. 44+(28)In the following exercises, simplify each expression. a. 3516 b. 35+(16)In the following exercises, simplify each expression. a. 8(9) b. 8+9 In the following exercises, simplify each expression. a. 4(4) b. 4+4 In the following exercises, simplify each expression. a. 27(18) b. 27+18 In the following exercises, simplify each expression. a. 46(37) b. 46+37 In the following exercises, simplify each expression. 15(12)In the following exercises, simplify each expression. 14(11)In the following exercises, simplify each expression. 10(19)In the following exercises, simplify each expression. 11(18)In the following exercises, simplify each expression. 4887 In the following exercises, simplify each expression. 4569 In the following exercises, simplify each expression. 3179 In the following exercises, simplify each expression. 3981 In the following exercises, simplify each expression. 3111 In the following exercises, simplify each expression. 3218 In the following exercises, simplify each expression. 1742 In the following exercises, simplify each expression. 1946 In the following exercises, simplify each expression. 103(52)In the following exercises, simplify each expression. 105(68)In the following exercises, simplify each expression. 45(54)In the following exercises, simplify each expression. 58(67)In the following exercises, simplify each expression. 837 In the following exercises, simplify each expression. 965 In the following exercises, simplify each expression. 54+7 In the following exercises, simplify each expression. 38+4 In the following exercises, simplify each expression. 14(27)+9 In the following exercises, simplify each expression. 15(28)+5 In the following exercises, simplify each expression. 71+(10)8 In the following exercises, simplify each expression. 64+(17)9 In the following exercises, simplify each expression. 16(4+1)7 In the following exercises, simplify each expression. 15(6+4)3 In the following exercises, simplify each expression. (27)(38)In the following exercises, simplify each expression. (18)(29)In the following exercises, simplify each expression. (68)(24)In the following exercises, simplify each expression. (45)(78)In the following exercises, simplify each expression. 25[10(312)]In the following exercises, simplify each expression. 32[5(1520)]In the following exercises, simplify each expression. 634372 In the following exercises, simplify each expression. 578249 In the following exercises, simplify each expression. 5262 In the following exercises, simplify each expression. 6272 In the following exercises, evaluate each expression for the given values. x6when a. x=3 b. x=3 In the following exercises, evaluate each expression for the given values. x4when a. x=5 b. x=5 In the following exercises, evaluate each expression for the given values. 5ywhen a. y=2 b. y=2 In the following exercises, evaluate each expression for the given values. 8ywhen a. y=3 b.y=3 In the following exercises, evaluate each expression for the given values. 4x215x+1when x=3 In the following exercises, evaluate each expression for the given values. 5x214x+7when x=2 In the following exercises, evaluate each expression for the given values. 125x2when x=6 In the following exercises, evaluate each expression for the given values. 186.sw 194x2when x=5 In the following exercises, translate each phrase into an algebraic expression and then simplify. a. The difference of 3 and -10 b. Subtract -20 from 45 In the following exercises, translate each phrase into an algebraic expression and then simplify. a. The difference of 8 and -12 b. Subtract -13 from 50 In the following exercises, translate each phrase into an algebraic expression and then simplify. a. The difference of -6 and 9 b.Subtract -12 from -16 In the following exercises, translate each phrase into an algebraic expression and then simplify. a. The difference of -8 and 9 b. Subtract -15 from -19 wIn the following exercises, translate each phrase into an algebraic expression and then simplify. a. 8 less than -17 b. -24 minus 37 In the following exercises, translate each phrase into an algebraic expression and then simplify. a. 5 less than -14 b. -13 minus 42 In the following exercises, translate each phrase into an algebraic expression and then simplify. a. 21 less than 6 b. 31 subtracted from -19 In the following exercises, translate each phrase into an algebraic expression and then simplify. a. 34 less than 7 b. 29 subtracted from -50 In the following exercises, solve the following applications. Temperature One morning, the temperature in Urbana, Illinois, was 28° Fahrenheit. By evening, the temperature had dropped 38° Fahrenheit. What was the temperature that evening?wIn the following exercises, solve the following applications. Temperature On Thursday, the temperature in Spincich Lake, Michigan, was 22° Fahrenheit. By Friday, the temperature had dropped 35° Fahrenheit. What was the temperature on Friday?In the following exercises, solve the following applications. Temperature On January 15, the high temperature in Anaheim, California, was 84° Fahrenheit. That same day, the high temperature in Embarrass, Minnesota was -12° Fahrenheit. What was the difference between the temperature in Anaheim and the temperature in Embarrass?In the following exercises, solve the following applications. Temperature On January 21, the high temperature in Palm Springs, California, was 89°, and the high temperature in Whitefield, New Hampshire was -31°. What was the difference between the temperature in Palm Springs and the temperature in Whitefield?In the following exercises, solve the following applications. Football At the first down, the Warriors football team had the ball on their 30-yard line. On the next three downs, they gained 2 yards, lost 7 yards, and lost 4 yards. What was the yard line at the end of the third down?In the following exercises, solve the following applications. Football At the first down, the Barons football team had the ball on their 20-yard line. On the next three downs, they lost 8 yards, gained 5 yards, and lost 6 yards. What was the yard line at the end of the third down?In the following exercises, solve the following applications. Checking Account John has $148 in his checking account. He writes a check for $83. What is the new balance in his checking account?In the following exercises, solve the following applications. Checking Account Ellie has $426 in her checking account. She writes a check for $152. What is the new balance in her checking account?In the following exercises, solve the following applications. Checking Account Gina has $210 in her checking account. She writes a check for $250. What is the new balance in her checking account?In the following exercises, solve the following applications. Checking Account Frank has $94 in his checking account. He writes a check for $110. What is the new balance in his checking account?In the following exercises, solve the following applications. Checking Account Bill has a balance of -$14 in his checking account. He deposits $40 to the account. What is the new balance?In the following exercises, solve the following applications. Checking Account Bill has a balance of -$14 in his checking account. He deposits $40 to the account. What is the new balance?the following exercises, solve the following applications. Camping Rene is on an Alpine hike. The temperature is -7°. Rene’s sleeping bag is rated “comfortable to -20°”. How much can the temperature change before it is too cold for Rene’s sleeping bag?In the following exercises, solve the following applications. Scuba Diving Shelly’s scuba watch is guaranteed to be watertight to -100 feet. She is diving at -45 feet on the face of an underwater canyon. By how many feet can she change her depth before her watch is no longer guaranteed?In the following exercises, solve the following applications. Explain why the difference of 9 and -6 is 15.In the following exercises, solve the following applications. Why is the result of subtracting 3(4)the same as the result of adding 3+4?TRY IT :: 3.93 Multiply: a. 68 b.4(7) c. 9(7) d. 512 TRY IT :: 3.94 Multiply: a. 87 b.6(9) c. 7(4) d. 313 TRY IT :: 3.95 Multiply. a. 19 b. 1(17)TRY IT :: 3.96 Multiply. a. 18 b. 1(16)TRY IT :: 3.97 Divide: a. 426 b. 117(3)TRY IT :: 3.98 Divide: a.sw 637 b. 115(5)TRY IT :: 3.99 Divide: a. 6(1) b. 36(1)TRY IT :: 3.100 Divide: a. 28(1) b.52(1)TRY IT :: 3.101 Simplify: 8(3)+5(7)4 TRY IT :: 3.102 Simplify: 9(3)+7(8)1 TRY IT :: 3.103 Simplify: a.(3)4 b. 34 TRY IT :: 3.104 Simplify: a. (7)2 b.72 TRY IT :: 3.105 Simplify: 174(811)TRY IT :: 3.106 Simplify: 166(713)TRY IT :: 3.107 Simplify: sw 12(9)(3)3 TRY IT :: 3.108 Simplify: 18(4)(2)3 TRY IT :: 3.109 Simplify: 273+(5)(6)TRY IT :: 3.110 Simplify: 324+(2)(7)TRY IT :: 3.111 Evaluate: 3x22x+6when x=3 TRY IT :: 3.112 Evaluate: 4x2x5when x=2 TRY IT :: 3.113 Evaluate: 7x+6y12when x=2and y=3 TRY IT :: 3.114 Evaluate: 8x6y+13when x=3and y=5 TRY IT :: 3.115 Translate to an algebraic expression and simplify if possible: the product of -5 and 12 TRY IT :: 3.116 Translate to an algebraic expression and simplify if possible: the product of 8 and -13 TRY IT :: 3.117 Translate to an algebraic expression and simplify if possible: the quotient of -63 and -9 TRY IT :: 3.118 Translate to an algebraic expression and simplify if possible: the quotient of -72 and -9 In the following exercises, multiply each pair of integers. 48 In the following exercises, multiply each pair of integers. 39 In the following exercises, multiply each pair of integers. 5(7)In the following exercises, multiply each pair of integers. 8(6)In the following exercises, multiply each pair of integers. 18(2)In the following exercises, multiply each pair of integers. 10(6)In the following exercises, multiply each pair of integers. 9(7)In the following exercises, multiply each pair of integers. 13(5)In the following exercises, multiply each pair of integers. 219.16 In the following exercises, multiply each pair of integers. 13 In the following exercises, multiply each pair of integers. 1(14)In the following exercises, multiply each pair of integers. 222.1(19)In the following exercises, divide. 223.246 In the following exercises, divide. 224.287 In the following exercises, divide. 225.sw 56(7)In the following exercises, divide. 35(7)In the following exercises, divide. 52(4)In the following exercises, divide. 84(6)In the following exercises, divide. 18015 In the following exercises, divide. 19212 In the following exercises, divide. 49(1)In the following exercises, divide. 62(1)In the following exercises, simplify each expression. 5(6)+7(2)3 In the following exercises, simplify each expression. 8(4)+5(4)6 In the following exercises, simplify each expression. 8(2)3(9)In the following exercises, simplify each expression. 236.7(4)5(3)In the following exercises, simplify each expression. (5)3 In the following exercises, simplify each expression. 238.(4)3 In the following exercises, simplify each expression. 239.se (2)6 In the following exercises, simplify each expression. (3)5 In the following exercises, simplify each expression. 42 In the following exercises, simplify each expression. 62 In the following exercises, simplify each expression. 3(5)(6)In the following exercises, simplify each expression. 4(6)(3)In the following exercises, simplify each expression. 4211 In the following exercises, simplify each expression. 5310 In the following exercises, simplify each expression. (811)(912)In the following exercises, simplify each expression. (611)(813)In the following exercises, simplify each expression. 263(27)In the following exercises, simplify each expression. 232(46)In the following exercises, simplify each expression. 10(4)(8)In the following exercises, simplify each expression. 8(6)(4)In the following exercises, simplify each expression. 253.65(5)+(28)(7)In the following exercises, simplify each expression. 254.sw 52(4)+(32)(8)In the following exercises, simplify each expression. 92[38(2)]In the following exercises, simplify each expression. 113[74(2)]In the following exercises, simplify each expression. (3)224(82)In the following exercises, simplify each expression. (4)232(124)In the following exercises, evaluate each expression. 2x+17when a. x=8 b. x=8 In the following exercises, evaluate each expression. 5y+14when a. y=9 b. y=9 In the following exercises, evaluate each expression. 103mwhen a. m=5 b. m=5 In the following exercises, evaluate each expression. 184nwhen a. n=3 b. n=3 In the following exercises, evaluate each expression. p25p+5when p=1 In the following exercises, evaluate each expression. 264. q22q+9 when q=2 In the following exercises, evaluate each expression. 2w23w+7when w=2 In the following exercises, evaluate each expression. 3u24u+5when u=3 In the following exercises, evaluate each expression. 6x5y+15when x=3and y=1 In the following exercises, evaluate each expression. 3p2q+9when p=8and q=2 In the following exercises, evaluate each expression. w 9a2b8when a=6and b=3 In the following exercises, evaluate each expression. 7m4n2when m=4and n=9 In the following exercises, translate to an algebraic expression and simplify if possible. The product of -3 and 15 In the following exercises, translate to an algebraic expression and simplify if possible. The product of -4 and 16 In the following exercises, translate to an algebraic expression and simplify if possible. The quotient of -60 and -20 In the following exercises, translate to an algebraic expression and simplify if possible. The quotient of -40 and -20 In the following exercises, translate to an algebraic expression and simplify if possible. The quotient of -6 and the sum of a and b In the following exercises, translate to an algebraic expression and simplify if possible. The quotient of -7 and the sum of m and n In the following exercises, translate to an algebraic expression and simplify if possible. The product of -10 and the difference of p and q In the following exercises, translate to an algebraic expression and simplify if possible. The product of -13 and the difference of c and d Stock market Javier owns 300 shares of stock in one company. On Tuesday, the stock price dropped $12 per share. What was the total effect on Javier’s portfolio?Weight loss In the first week of a diet program, eight women lost an average of 3 pounds each. What was the total weight change for the eight women?In your own words, state the rules for multiplying two integers.In your own words, state the rules for dividing two integers.Why is 22(2)4?Why is 42(4)2?TRY IT :: 3.119 Determine whether each of the following is a solution of 2x8=14: a. x=11 b. x=11 c. x=3 TRY IT :: 3.120 Determine whether each of the following is a solution of 2y+3=11: a. y=4 b. y=4 c. y=7 TRY IT :: 3.121 Solve: y+11=7 TRY IT :: 3.122 Solve: y+15=4 TRY IT :: 3.123 Solve: a2=8 TRY IT :: 3.124 Solve: n4=8 TRY IT :: 3.125 Write the equation modeled by the envelopes and counters. Then solve it.TRY IT :: 3.125 Write the equation modeled by the envelopes and counters. Then solve it.TRY IT :: 3.127 Solve: 8a=56 TRY IT :: 3.128 Solve: 11n=121 TRY IT :: 3.129 Solve: 8p=96 TRY IT :: 3.130 Solve: 12m=108 TRY IT :: 3.131 Translate and solve: Seven more than x is equal to -2 .TRY IT :: 3.132 Translate and solve: Eleven more than y is equal to 2.TRY IT :: 3.133 Translate and solve: The difference of p and 2 is -4.TRY IT :: 3.134 Translate and solve: The difference of q and 7 is -3.TRY IT :: 3.135 Translate and solve: The number 132 is the product of -12 and y.TRY IT :: 3.136 Translate and solve: The number 117 is the product of -13 and z.In the following exercises, determine whether each number is a solution of the given equation. 4x2=6 a. x=2 b. x=1 c. x=2 In the following exercises, determine whether each number is a solution of the given equation. 4y10=14 a. y=6 b. y=1 c. y=1 In the following exercises, determine whether each number is a solution of the given equation. 9a+27=63 a. a=6 b. a=6 c. a=10 In the following exercises, determine whether each number is a solution of the given equation. 7c+42=56 a. c=2 b. c=2 c. c=14 In the following exercises, solve for the unknown. n+12=5 In the following exercises, solve for the unknown. m+16=2 In the following exercises, solve for the unknown. p+9=8 In the following exercises, solve for the unknown. q+5=6 In the following exercises, solve for the unknown. u3=7 In the following exercises, solve for the unknown. v7=8 In the following exercises, solve for the unknown. h10=4 In the following exercises, solve for the unknown. k9=5 In the following exercises, solve for the unknown. x+(2)=18 In the following exercises, solve for the unknown. y+(3)=10 In the following exercises, solve for the unknown. r(5)=9 In the following exercises, solve for the unknown. s(2)=11 In the following exercises, write the equation modeled by the envelopes and counters and then solve it.In the following exercises, write the equation modeled by the envelopes and counters and then solve it.In the following exercises, write the equation modeled by the envelopes and counters and then solve it.In the following exercises, write the equation modeled by the envelopes and counters and then solve it.In the following exercises, solve each equation using the division property of equality and check the solution. 5x=45 In the following exercises, solve each equation using the division property of equality and check the solution. 4p=64 In the following exercises, solve each equation using the division property of equality and check the solution. 7c=56 In the following exercises, solve each equation using the division property of equality and check the solution. 9x=54 In the following exercises, solve each equation using the division property of equality and check the solution. 14p=42 In the following exercises, solve each equation using the division property of equality and check the solution. 8m=40 In the following exercises, solve each equation using the division property of equality and check the solution. 120=10q In the following exercises, solve each equation using the division property of equality and check the solution. 75=15y In the following exercises, solve each equation using the division property of equality and check the solution. 24x=480 In the following exercises, solve each equation using the division property of equality and check the solution. 18n=540 In the following exercises, solve each equation using the division property of equality and check the solution. 3z=0 In the following exercises, solve each equation using the division property of equality and check the solution. 4u=0 In the following exercises, translate and solve. Four more than n is equal to 1.In the following exercises, translate and solve. Nine more than m is equal to 5.In the following exercises, translate and solve. The sum of eight and p is -3.In the following exercises, translate and solve. The sum of two and q is -7.In the following exercises, translate and solve. The difference of a and three is -14.In the following exercises, translate and solve. The difference of b and 5 is -2.In the following exercises, translate and solve. The number -42 is the product of -7 and x.In the following exercises, translate and solve. The number -54 is the product of -9 and y.In the following exercises, translate and solve. The product of f and -15 is 75.In the following exercises, translate and solve. The product of g and -18 is 36.In the following exercises, translate and solve. -6 plus c is equal to 4.In the following exercises, translate and solve. -2 plus d is equal to 1.In the following exercises, translate and solve. Nine less than n is -4.In the following exercises, translate and solve. Thirteen less than n is -10.In the following exercises, solve. a. x+2=10 b. 2x=10 In the following exercises, solve. a. y+6=12 b. 6y=12 In the following exercises, solve. a. 3p=27 b.p3=27 In the following exercises, solve. a. 2q=34 b. q2=34 In the following exercises, solve. a4=16 In the following exercises, solve. b1=11 In the following exercises, solve. 8m=56 In the following exercises, solve. 6n=48 In the following exercises, solve. 39=u+13 In the following exercises, solve. 100=v+25 In the following exercises, solve. 11r=99 In the following exercises, solve. 15s=300 In the following exercises, solve. 100=20d In the following exercises, solve. 250=25n In the following exercises, solve. 49=x7

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