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All Textbook Solutions for PREALGEBRA

In the following exercises, write as a whole number using digits. six hundred twoIn the following exercises, write as a whole number using digits. fifteen thousand, two hundred fifty-threeIn the following exercises, write as a whole number using digits. three hundred forty million, nine hundred twelve thousand, sixty-oneIn the following exercises, write as a whole number using digits. two billion, four hundred ninety-two million, seven hundred eleven thousand, twoIn the following exercises, round to the nearest ten.In the following exercises, round to the nearest ten.In the following exercises, round to the nearest ten. 3,556In the following exercises, round to the nearest ten. 2,734In the following exercises, round to the nearest hundred. 38,975In the following exercises, round to the nearest hundred. 26,849In the following exercises, round to the nearest hundred.In the following exercises, round to the nearest hundred.In the following exercises, translate the following from math notation to words. 4+3In the following exercises, translate the following from math notation to words. + 18In the following exercises, translate the following from math notation to words. + 629In the following exercises, translate the following from math notation to words. 10,085 + 3,492In the following exercises, model the addition. 6 + 7In the following exercises, model the addition. + 14In the following exercises, fill in the missing values in each chart.In the following exercises, fill in the missing values in each chart.In the following exercises, add. (a) 0 + 19(b) 19 + 0In the following exercises, add. (a) 0 + 480 (b)480 + 0In the following exercises, add. (a) 7 + 6 (b) 6 + 7In the following exercises, add. (a) 23 + 18 (b)18 + 23In the following exercises, add. + 35In the following exercises, add. + 29In the following exercises, add. + 58In the following exercises, add. + 591In the following exercises, add. 7,281 + 12,546In the following exercises, add. 5,280 + 16,324 + 9,731In the following exercises, translate each phrase into math notation and then simplify. 495. the sum of 30 and 12In the following exercises, translate each phrase into math notation and then simplify. increased by 8In the following exercises, translate each phrase into math notation and then simplify. 497. 25 more than 39In the following exercises, translate each phrase into math notation and then simplify. total of 15 and 50the following exercises, solve. Shopping for an interview Nathan bought a new shirt, tie, and slacks to wear to a job interview. The shirt cost $24. the tie cost $14. and the slacks cost $38. What was Nathan’s total cost?In the following exercises, solve. Running Jackson ran 4 miles on Monday, i2 miles on Tuesday, I mile on Wednesday, 8 miles on Thursday, and 5 miles on Friday. What was the total number of Miles Jackson ran?In the following exercises. find the perimeter of each figure.In the following exercises. find the perimeter of each figure.In the following exercises, translate the following from math notation to words. - 5In the following exercises, translate the following from math notation to words. - 15In the following exercises, translate the following from math notation to words. - 249In the following exercises, translate the following from math notation to words. 5,724 2,918In the following exercises, model the subtraction. — 4In the following exercises, model the subtraction. - 29In the following exercises, subtract and then check by adding. 8 - 5In the following exercises, subtract and then check by adding. - 7In the following exercises, subtract and then check by adding. - 9In the following exercises, subtract and then check by adding. - 21In the following exercises, subtract and then check by adding. - 59In the following exercises, subtract and then check by adding. - 87In the following exercises, subtract and then check by adding. - 217In the following exercises, subtract and then check by adding. - 296In the following exercises, subtract and then check by adding. 1,020 - 640In the following exercises, subtract and then check by adding. 8,355-3,947In the following exercises, subtract and then check by adding. 10,000 - 15In the following exercises, subtract and then check by adding. 54,925 35, 647In the following exercises, translate and simplify. the difference of nineteen and thirteenIn the following exercises, translate and simplify. subtract sixty-five from one hundredIn the following exercises, translate and simplify. seventy-four decreased by eightIn the following exercises, translate and simplify. twenty-three less than forty oneIn the following exercises, solve. Temperature The high temperature in Peoria one day was degrees Fahrenheit and the low temperature was 28 degrees Fahrenheit. What was the difference between the high and low temperatures?In the following exercises, solve. Savings Lynn wants to go on a cruise that costs $2.485. She has $948 in her vacation savings account. How much more does she need to save in order to pay for the cruise?In the following exercises, translate from math notation to words. S 85In the following exercises, translate from math notation to words. 614In the following exercises, translate from math notation to words. (10)(95)In the following exercises, translate from math notation to words. 54(72)In the following exercises, model the multiplication. 24In the following exercises, model the multiplication. 38In the following exercises, fill in the missing values in each chart.In the following exercises, fill in the missing values in each chart.In the following exercises, multiply. 014In the following exercises, multiply. (256)0In the following exercises, multiply. 199In the following exercises, multiply. (4,789)1In the following exercises, multiply. (a) 74 (b) 47In the following exercises, multiply. (25)(6)In the following exercises, multiply. 9,2613In the following exercises, multiply. 4876In the following exercises, multiply. 6410In the following exercises, multiply. 1,000(22)In the following exercises, multiply. 162493In the following exercises, multiply. (601)(943)In the following exercises, multiply. 3,624517In the following exercises, multiply. 10,53822In the following exercises, translate and simplify. the product of 15 and 28In the following exercises, translate and simplify. ninety-four times thirty-threeIn the following exercises, translate and simplify. twice 575In the following exercises, translate and simplify. ten times two hundred sixty-fourIn the following exercises, solve. Gardening Geniece bought 8 packs of marigolds to plant in her yard. Each pack has 6 flowers. How many marigolds did Geniece buy?In the following exercises, solve. Cooking Ratika is making rice for a dinner party. The number of cups of water is twice the number of cups of rice. If Ratika plans to use 4 cups of rice, how many cups of water does she need?In the following exercises, solve. Multiplex There are twelve theaters at the multiplex and each theater has 150 seats. What is the total number of seats at the multiplex?In the following exercises, solve. Roofing Lewis needs to put new shingles on his roof. The roof is a rectangle, 30 feet by 24 feet. What is the area of the roof?Translate from math notation to words. 549Translate from math notation to words. . 42/7Translate from math notation to words. 728Translate from math notation to words. 648In the following exercises, model. 82In the following exercises, model 32In the following exercises, divide. Then check by multiplying. 142In the following exercises, divide. Then check by multiplying. 328In the following exercises, divide. Then check by multiplying. 524In the following exercises, divide. Then check by multiplying. 2626In the following exercises, divide. Then check by multiplying. 971In the following exercises, divide. Then check by multiplying. 052In the following exercises, divide. Then check by multiplying. 1000In the following exercises, divide. Then check by multiplying. 3555In the following exercises, divide. Then check by multiplying. 38286In the following exercises, divide. Then check by multiplying. 311,519In the following exercises, divide. Then check by multiplying. 750525In the following exercises, divide. Then check by multiplying. 5,16642In the following exercises, translate and simplify. the quotient of 64 and 16In the following exercises, translate and simplify. the quotient of 572 and 52In the following exercises, solve. Ribbon One spooi of ribbon is 27 feet Lizbeth uses 3 feet of ribbon for each gift basket that she wraps. How many gift baskets can Lizbeth wrap from one spool of ribbon?In the following exercises, solve. Juice One carton of fruit juice is 128 ounces. How many 4 ounce cups can Shayla fill from one carton of juice?Determine which of the following numbers are (a) counting numbers (b) whole numbers. 4, 87Find the place value of the given digits in the number 549.362. 9 (b) 6 (c) 2 (d) 5Write each number as a whole number using digits. (a) six hundred thirteen (b) fifty-five thousand two hundred eightRound 25.849 to the nearest hundred.Simplify. +2 3Simplify. 65—42Simplify. ÷ 5Simplify. 1.000 x 8Simplify. 90—58Simplify. + 89Simplify. (0)( 12,675)Simplify. + 255Simplify. 09Simplify. 8128Simplify. - 79Simplify. + 836Simplify. 7475Simplify. 8,528 + 704Simplify. 35(14)Simplify. 598. 260Simplify. - 291Simplify. 4,916 1,538Simplify. 49545Simplify. 52983Translate each phrase to math notation and then simplify. The sum of 16 and 58Translate each phrase to math notation and then simplify. The product of 9 and 15Translate each phrase to math notation and then simplify. The difference of 32 and 18Translate each phrase to math notation and then simplify. The quotient of 63 and 21Translate each phrase to math notation and then simplify. Twice 524Translate each phrase to math notation and then simplify. more than 32Translate each phrase to math notation and then simplify. less than 300In the following exercises, solve. LaVelle buys a jumbo bag of candies to make favor bags for her son’s party. If she wants to make 12 bags, howmanycandies should she put in each bag?In the following exercises, solve. Last month, Stan’s take-home pay was $1816 and his expenses were $3,472. How much of his take-home pay did Stan have left after he paid his expenses?In the following exercises, solve. Each class at Greenville School has 22 children enrolled. The school has 24 classes. How many children are enrolled at Greenville School?In the following exercises, solve. Clayton walked 12 blocks to his mother’s house, 6 blocks to the gym, and 9 blocks to the grocery store before walking the last 3 b’ocks home. What was the total number of blocks that Clayton walked?Translate from algebra to words. 18+11 (b) (27)(9) (c) 847 (d) pqTranslate from algebra to words. 4719 (b) 729 (c) m+n (d) (13)(7)Translate from algebra to words. 1427 (b) 1928 (c) 1242 (d) x71Translate from algebra to words. 1915 (b) 7=125 (c) 1538(d) y+36Use Figure 2.2 to fill in the appropriate symbol. =, <, or >. ® MPG of Prius ______ MPG of Versa MPG of Mini Cooper ______ MPG of CorollaUse Figure 2.2 to fill in the appropriate symbol. =. <, or >. ® MPG of Fit ______ MPG of Prius ® MPG of Corolla ______ MPG of FitDetermine if each is an expression or an equation: 23+6=29 (b) 737Determine if each is an expression or an equation: y14 x6=21Write each expression in exponential form: 4141414141Write each expression in exponential form: 7.7.7.7.7.7.7.7.7Write each exponential expression in expanded form: 48 a7Write each exponential expression in expanded form: 88 (b) b6Simplifư: 53 (b) 17Simplify: 72 (b) 05Simplify the expressions: 1252 (b) (125)2Simplify the expressions: 8+39 (b) (8+3)9Simplify: 4273Simplify: 1234Simplify: 305+10(32)Simplify: 7010+4(62)Simplify: 9+53[4(9+3)]Simplify: 722[4(5+1)]Simplify: 32+242+43Simplify: 62535+82In the following exercises, translate from algebraic notation to words. 169In the following exercises, translate from algebraic notation to words. 257In the following exercises, translate from algebraic notation to words. 56In the following exercises, translate from algebraic notation to words. 39In the following exercises, translate from algebraic notation to words. 284In the following exercises, translate from algebraic notation to words. 455In the following exercises, translate from algebraic notation to words. x+8In the following exercises, translate from algebraic notation to words. x+11In the following exercises, translate from algebraic notation to words. (2)(7)In the following exercises, translate from algebraic notation to words. (4)(8)In the following exercises, translate from algebraic notation to words. 1421In the following exercises, translate from algebraic notation to words. 1435In the following exercises, translate from algebraic notation to words. 3619In the following exercises, translate from algebraic notation to words. 4227In the following exercises, translate from algebraic notation to words. 3n=24In the following exercises, translate from algebraic notation to words. 6n=36In the following exercises, translate from algebraic notation to words. y16In the following exercises, translate from algebraic notation to words. y48In the following exercises, translate from algebraic notation to words. 2186In the following exercises, translate from algebraic notation to words. 3204In the following exercises, translate from algebraic notation to words. a7.4In the following exercises, translate from algebraic notation to words. a112In the following exercises, translate from algebraic notation to words. 96=54In the following exercises, determine if each is an expression or an equation. 79=63In the following exercises, determine if each is an expression or an equation. 54+3In the following exercises, determine if each is an expression or an equation. 63+5In the following exercises, determine if each is an expression or an equation. x+7In the following exercises, determine if each is an expression or an equation. x+9In the following exercises, determine if each is an expression or an equation. y5=25In the following exercises, determine if each is an expression or an equation. y8=32In the following exercises, write in exponential form. 3333333In the following exercises, write in exponential form. 444444In the following exercises, write in exponential form. xxxxxIn the following exercises, write in exponential form. yyyyyyIn the following exercises, write in expanded form. 53In the following exercises, write in expanded form. 83In the following exercises, write in expanded form. 28In the following exercises, write in expanded form. 105In the following exercises, simplify. 39. (a) 3+85 (b) (3+8)5In the following exercises, simplify. (a) 2+63 (b) (2+6)3In the following exercises, simplify. 2312(95)In the following exercises, simplify. 3218(115)In the following exercises, simplify. 38+52In the following exercises, simplify. 47+35In the following exercises, simplify. 2+8(6+1)In the following exercises, simplify. 4+6(3+6)In the following exercises, simplify. 412/8In the following exercises, simplify. 236/6In the following exercises, simplify. 6+10/2+2In the following exercises, simplify. 9+12/3+4In the following exercises, simplify. (6+10)(2+2)In the following exercises, simplify. (9+12)(3+4)In the following exercises, simplify. 204+65In the following exercises, simplify. 333+82In the following exercises, simplify. 20(4+6)5In the following exercises, simplify. 33(3+8)2In the following exercises, simplify. 42+52In the following exercises, simplify. 32+72In the following exercises, simplify. (4+5)2In the following exercises, simplify. (3+7)2In the following exercises, simplify. 3(1+96)42In the following exercises, simplify. 5(2+84)72In the following exercises, simplify. 2[1+3(102)]In the following exercises, simplify. 5[2+4(32)]Basketball In the 2014 NBA playoffs, the San Antonio Spurs beat the Miami Heat. The table below shows the heights of the starters on each team. Use this table to fill in the appropriate symbol (=, <, >). Height of Tim Duncan Height of Rashard Lewis Height of Boris Diaw Height of LeBron James Height of Kawhi Leonard Height of Chris Bosh Height of Tony Parker Height of Dwyane Wade Height of Danny Green Height of Ray AllenElevation In Colorado there are more than 50 mountains with an elevation of over 14,000 feet. The table shows the ten tallest. Use this table to fill in the appropriate inequality symbol. Elevation of La Plata Peak ______ Elevation of Mt. Antero Elevation of Blanca Peak ______ Elevation of Mt. Elbert Elevation of Gray’s Peak ______ Elevation of Mt. Lincoln Elevation of Mt. Massive ______ Elevation of Crestone Peak Elevation of Mt. Harvard ______ Elevation of Uncompahgre PeakExplain the difference between an expression and an equation.Why is it important to use the order of operations to simplify an expression?Evaluate: y+4when (a) y=6 (b) y=15Evaluate: a5When (a) a=9 (b) a=17Evaluate: 8x3,when (a) x=2 (b) x=1Evaluate: 4y4,when y=3(b) y=5Evaluate: x2when x=8.Evaluate: x3when x=6.Evaluate: 2xWhen x=6.Evaluate: 3xWhen x=4.Evaluate: 2x+5y4when x=11and ? y=3Evaluate: 5x2y9when x=7and y=8Evaluate: 3x2+4x+1when x=3.Evaluate: 6x24x7when x=2.Identify all terms in the given expression, and their coefficients: 4x+3b+2Identify all terms in the given expression, and their coefficients: 9a+13a2+a3Identify the like terms in the list or the expression: 9,2x2,y2,8x3,15,9x,11y2Identify the like terms in the list or the expression: 4x3+8x2+19+3x2+24+6x3Simplify: 7x+9+9x+8Simplify: 5y+2+8y+4y+5Simplify: 3x2+9x+x2+5xSimplify: 11y2+8y+y2+7yTranslate the given word phrase into an algebraic expression: the difference of 47and 41 (b) the quotient of 5xand 2Translate the given word phrase into an algebraic expression: the difference of 17and 19 (b) the quotient of 7and xTranslate the given word phrase into an algebraic expression: Eleven more than x (b) Fourteen less than 11aTranslate each word phrase into an algebraic expression: (a) 19more than j (b) 21less than 2xTranslate each word phrase into an algebraic expression: Four times the sum of pand q (b) the sum of four times pand qTranslate each word phrase into an algebraic expression: The difference of two times xand 8 (b) two times the difference of xand 8The length of a rectangle s 5inches less than the width. Let wrepresent the width of the rectangle. Write an expression for the length of the rectangle.The width of a rectangle is 2meters greater than the length. Let lrepresent the length of the rectangle. Write an expression for the width of the rectangle.Geoffrey has dimes and quarters in his pocket. The number of dimes s seven less than six times the number of quarters. Let qrepresent the number of quarters. Write an expression for the number of dimes.Lauren has dimes and nickels in her purse. The number of dimes is eight more than four times the number of nickels. Let nrepresent the number of nickels. Write an expression for the number of dimes.In the following exercises, evaluate the expression for the given value. 7x+8when x=2In the following exercises, evaluate the expression for the given value. 9x+7when x=3In the following exercises, evaluate the expression for the given value. 5x4when x=6In the following exercises, evaluate the expression for the given value. 8x6when x=7In the following exercises, evaluate the expression for the given value. x2when x=12In the following exercises, evaluate the expression for the given value. x3when x=5In the following exercises, evaluate the expression for the given value. x5when x=2In the following exercises, evaluate the expression for the given value. x4when x=3In the following exercises, evaluate the expression for the given value. 3xwhen x=3In the following exercises, evaluate the expression for the given value. 4xwhen x=2In the following exercises, evaluate the expression for the given value. x2+3x7when x=4In the following exercises, evaluate the expression for the given value. x2+5x8when x=6In the following exercises, evaluate the expression for the given value. 2x+4y5when x=7, y=8In the following exercises, evaluate the expression for the given value. 6x+3y9when x=6,? y=9In the following exercises, evaluate the expression for the given value. (xy)2when x=10, y=7sIn the following exercises, evaluate the expression for the given value. (x+y)2when x=6, y=9In the following exercises, evaluate the expression for the given value. a2+b2when a=3, b=8In the following exercises, evaluate the expression for the given value. r2s2when r=12, s=5In the following exercises, evaluate the expression for the given value. 2l+2wwhen l=15, w=12In the following exercises, evaluate the expression for the given value. 2l+2wwhen l=18, w=14In the following exercises, evaluate the expression for the given value. 15x2+6x+2In the following exercises, list the terms in the given expression. 11x2+8x+5In the following exercises, list the terms in the given expression. 10y3+y+2In the following exercises, list the terms in the given expression. 9y3+y+5In the following exercises, identify the coefficient of the given term. 8aIn the following exercises, identify the coefficient of the given term. 13mIn the following exercises, identify the coefficient of the given term. 5r2In the following exercises, identify the coefficient of the given term. 6x3In the following exercises, identify all sets of like terms. x3,8x, 14, 8y, 5, 8x3