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All Textbook Solutions for High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
Solve each problem. Round to the nearest tenth, if necessary. Use 3.14 for pi. What is the width of a rectangle with length 14cm and area 161cm2?Solve each problem. Round to the nearest tenth, if necessary. Use 3.14 for pi. What is the radius of a circle with circumference 13ft?Solve each problem. Round to the nearest tenth, if necessary. Use 3.14 for pi. A rectangle has perimeter 182 in. and length 52 in. What is the width?Solve each problem. Round to the nearest tenth, if necessary. Use 3.14 for pi. A triangle has base 7m and area 17.5m2. What is the height?Solve each problem. Round to the nearest tenth, if necessary. To find the average number of points per game a player scores, use the has played if she has scored a total of 221 points and is averaging 17 points per game.Solve each problem. Round to the nearest tenth, if necessary. Joan drives 333.5 miles before she has to buy gas. Her car gets 29 miles per gallon. How many gallons of gas did the car start out with?Solve each problem. Round to the nearest tenth, if necessary. Stan is purchasing sub-flooring for a kitchen he is remodeling. The area of the floor is 180ft2 and the width of the kitchen is 12ft. What is the length of the sub-floor?Solve each equation for the given variable. 4k+mn=n3;nSolve each equation for the given variable. cd+2=fgSolve each equation for the given variable. 3ab2bc=12;cSolve each equation for the given variable. z=x+y3w;ySolve each equation for the given variable. 26.3(m2n)=5m;mSolve each equation for the given variable. A=12bcd+bc;dSolve each equation for the given variable. A room with width w, length l, and height h with four walls needs to be painted. a. Write a formula for the area that needs to be painted not accounting for doors or windows. b. Rewrite the formula to find h in terms of A, l, and w. c. If l is 18 ft, w is 14ft and A is 512ft2, what is the height of the room? d. Reasoning Suppose l is equal to w. Write a formula for A in terms of w and h.For Exercises 15, choose the correct letter. What is the value of the expression 2(3x2)+x+9 when x=3? A. -16 B. -2 C. 28 D. 34For Exercises 15, choose the correct letter. What is the value of the expression 6m+m4(2m+1m) when m=8? F. -156 G. -92 H. -44 I. 36For Exercises 15, choose the correct letter. What is the solution of 2d=abbc when you solve for a? A. 2db+c+b B. 2d+bbc C. 2dbc+b D. 2d(bc)+bFor Exercises 15, choose the correct letter. A triangle has area 49.5cm2. If the base of the triangle is 9cm, what is the height of the triangle? F. 5.5cm G. 11cm H. 222.75cm I. 445.5cmFor Exercises 15, choose the correct letter. A circle has circumference 10.99 yd. What is the radius of the circle? Round to the nearest tenth if necessary. (Use 3.14 for . ) A. 1.8 yd B. 3.5 yd C. 7 yd D. 34.5 ydFor Exercises 15, choose the correct letter. The formula for the circumference of a circle is C=2r, where r is the radius of the circle. a. What is the formula when solved for r? b. What is the radius of a circle with a circumference of 37.7 m? Round to the nearest tenth if necessary.Convert the given amount to the given unit. 15 days; hoursConvert the given amount to the given unit. 60ft; ydConvert the given amount to the given unit. 100 meters; cmConvert the given amount to the given unit. 5 hr; minConvert the given amount to the given unit. 12 meters; ftConvert the given amount to the given unit. 16 in. cmConvert the given amount to the given unit. 7.5 liters; qtConvert the given amount to the given unit. 2076cm;ydConvert the given amount to the given unit. 15 pounds; gramsConvert the given amount to the given unit. 25km;cmConvert the given amount to the given unit. 3 mi; ftConvert the given amount to the given unit. 60 min; sThe builder measures the perimeter of the foundation to be 425ft. He must order steel beams to install around the perimeter of the foundation. Steel must be ordered in meters. How many meters of steel should the builder order?Mrs. Jacobsen purchased a 5-pound package of ground beef for $12.40. She decided to use 8 ounces each day for dinner recipes. What was the cost of ground beef per meal?Car 1 drove 408 miles in 6 hours and Car 2 drove 365 miles in 5 hours during the cross-country road race. Who had the fastest average speed?Copy and complete each statement. 25 mi/hr= _____ m/minCopy and complete each statement. 32 mi/gal= _____ km/LCopy and complete each statement. 10 m/s= _____ ft/sCopy and complete each statement. 14 gal/s = ____ qt/minCopy and complete each statement. 5 days = ____ minCopy and complete each statement. 100 yd= _____ mCopy and complete each statement. 15 dollars/hr = _____ cents/minCopy and complete each statement. 5L/s = __________ kL/minCopy and complete each statement. 62 in. = ______ mCopy and complete each statement. 7 days = ________ sWhich weighs more, 500 pounds or 200 kilograms?Which is longer, 4000ft or 1 kilometer?Which is the better buy, 7 pounds for $8.47 or 9 pounds for $11.07? Explain.A runner is running 10 miles per hour. a. What conversion factors should be used to convert 10mi/hr to ft/s? b. How many feet per second is the runner running?Determine if each rate is a unit rate. Explain. $1.99 per poundDetermine if each rate is a unit rate. Explain. 100 feet per 2 secondsDetermine if each rate is a unit rate. Explain. 22 miles per gallonFind each unit rate. 4 pounds of green peppers cost $7.56.Find each unit rate. Rahul travelled 348 miles in 6 hours.Find each unit rate. Cheryl assembled 128 chairs in 16 hours.Writing Suppose you want to convert feet per second to miles per hour. What conversion factors would you use? How did you determine which unit should go in the numerator and which unit should go in the denominator of the conversion factors?The volume of a box is 1344 cubic inches or in 3. a. How many cubic inches are in one cubic foot? Justify your answer. b. What is the volume of the box in cubic feet? Justify your answer.For Exercises 16, choose the correct letter. Which of the following rates is a unit rate? A. 24in.1yd B. 24in.2ft C. 3ft1yd D. 1ft12inFor Exercises 16, choose the correct letter. How many centimeters are in 1 kilometer? F. 0.000001 G. 0.00001 H. 10,000 I. 100,000For Exercises 16, choose the correct letter. How many inches are in 3 yd 2 ft? A. 60 B. 72 C. 132 D. 180For Exercises 16, choose the correct letter. To convert miles per hour to feet per second, which conversion factor would not be used? F. 1hr60min G. 1min60sec H. 5280ft1mi I. 1mi5280ftFor Exercises 16, choose the correct letter. A healthy, adult cheetah can run 110 feet per second. How fast can a cheetah run in miles per hour? A. 55 B. 75 C. 87 D. 161.3For Exercises 16, choose the correct letter. Emmanuel was speaking with a friend from another country. His friend told him that the speed limit on most highways is 100 kilometers per hour in her country. This speed sounded fast to Emmanuel. Approximately what speed is this in miles per hour? F. 62 mph G. 65 mph H. 70 mph I. 100 mphSamantha earns $22 per hour as a plumbing apprentice. How much does she earn per minute in cents? a. What conversion factors would she use? b. What amount does she earn per minute in cents?Solve each proportion using the Multiplication Property of Equality. 32=n6Solve each proportion using the Multiplication Property of Equality. 15=t3Solve each proportion using the Multiplication Property of Equality. g3=109Solve each proportion using the Multiplication Property of Equality. m4=65Solve each proportion using the Multiplication Property of Equality. 76=b2Solve each proportion using the Multiplication Property of Equality. 29=j18Solve each proportion using the Multiplication Property of Equality. z3=54Solve each proportion using the Multiplication Property of Equality. 1112=w15Solve each proportion using the Multiplication Property of Equality. 1910=c23Solve each proportion using the Cross Products Property. 14=x10Solve each proportion using the Cross Products Property. 3n=23Solve each proportion using the Cross Products Property. r12=34Solve each proportion using the Cross Products Property. 5y=35Solve each proportion using the Cross Products Property. 34=k16Solve each proportion using the Cross Products Property. 22a=65Solve each proportion using the Cross Products Property. 159=8zSolve each proportion using the Cross Products Property. 115=q6Solve each proportion using the Cross Products Property. f18=612The windows on a building are proportional to the size of the building. The height of each window is 18 in., and the width is 11 in. If the height of the building is 108ft, what is the width of the building?Eric is planning to bake approximately 305 cookles. If 3 pounds of cookie dough make 96 cookies, how many pounds of cookie dough should he make?On a map, the distance between Sheilas house and Shardaes house is 6.75 inches. According to the scale, 1.5 inches represents 5 miles. How far apart are the houses?Solve each proportion using any method. n+46=82Solve each proportion using any method. 104=z816Solve each proportion using any method. 3t+7=58Solve each proportion using any method. x33=x+44Solve each proportion using any method. 3n+1=4n+4Solve each proportion using any method. 4d+1d+9=32Sixty-two students, out of 100 surveyed, chose pizza as their favorite lunch item. If the school has 1250 students, how many students would likely say that pizza is their favorite if the survey is a fair representation of the student body?The senior class is taking a trip to an amusement park. They received a special deal where for every 3 tickets they purchased they received one free ticket. 3 tickets cost $53.25. The total purchase of tickets cost $1384.50. How many tickets did they receive?Solve each proportion. x12=x23Solve each proportion. 2n+1n+2=54Solve each proportion. 32b1=2b+2Open-Ended Give one example of a proportion. Describe the means and the extremes of the proportion. Explain how you know it is a proportion. Give one non-example of a proportion. Explain how you know it is not a proportion.For Exercises 15, choose the correct letter. What is the solution to the proportion 35=x10? A. 103 B. 6 C. 10 D. 150For Exercises 15, choose the correct letter. What is the solution to the proportion x1x=23? F. -2 G. 0 H. 2 I. 3For Exercises 15, choose the correct letter. There are 105 members of the high school marching band. For every 3 boys there are 4 girls. Which proportion represents how many boys are in the marching band? A. 37=b105 B. 34=b105 C. 47=b105 D. 73=b105For Exercises 15, choose the correct letter. A baker is making bread dough. He uses 3 cups of flour for every 8 ounces of water. How many cups of flour will he use if he uses 96 ounces of water? F. 4 G. 12 H. 32 I. 36For Exercises 15, choose the correct letter. Mr. Carter offered to stay after school for an extra help session, and 211 of his students stayed for the session. If there were 24 students that stayed for the help session, how many students does Mr. Carter teach throughout the day? A. 100 B. 121 C. 132 D. 144Elisabeth goes on a 5 mile run each Saturday. Her run typically takes her 45 minutes. She wants to increase this distance to 7 miles. Determine the proportion you use to find the time it would take her to run 7 miles. Solve the proportion. What proportion can be used to determine the time it takes for her to run a marathon, which is approximately 26 miles? What is her time?The figures in each pair are similar. Find the missing length. ABC~DEFThe figures in each pair are similar. Find the missing length. QRST~UVWXThe figures in each pair are similar. Find the missing length.The figures in each pair are similar. Find the missing length.The figures in each pair are similar. Find the missing length.The figures in each pair are similar. Find the missing length.The scale of a map is 0.5 in. : 20 mi. Find the actual distance corresponding to each map distance. 7.2 in.The scale of a map is 0.5 in. : 20 mi. Find the actual distance corresponding to each map distance. 8.3 .51 inThe scale of a map is 0.5 in. : 20 mi. Find the actual distance corresponding to each map distance. 9.4 .75 in.A museum has a wax sculpture of a historical village. The scale is 1.5: 8. If the height of a hut in the sculpture is 5 feet, how tall was the original hut to the nearest whole foot?On a map, the length of a river is 4.75 in. The actual length of the river is 247 miles. What is the scale of the map?Sammy is constructing a model bridge out of sticks. The actual bridge is 1320ft long. He wants the scale of his bridge to be 1:400. How long should the model be?The Finish-Line Company is drawing up plans for a room addition shown below. The addition will include a large bedroom with a bathroom as shown. a. What are the actual dimensions of the room addition? b. What are the actual dimensions of the bathroom? c. What is the actual length of the exterior wall between the end of the room addition and the bathroom wall? This length is represented by x.Writing Are all right triangles similar? Explain your answer.Writing A pizza shop sells small 6 in. pizzas and medium 12 in. pizzas. Should the medium pizzas cost twice as much as the small pizzas because they are twice the size? Explain.For Exercises 14, choose the correct letter. The distance between Capeton and Jonesville is 80 miles. The scale on the map is 0.75 in. : 10 miles. How far apart are the cities on the map? A. 6 in. B. 60 in. C. 600 in. D. 1067 in.For Exercises 14, choose the correct letter. The floor plan of a room has a scale of 2.5 in.: 35 ft. In the drawing, the length of the room is 8 in. and the width of the room is 6 in. What is the perimeter of the actual room? F. 84ft G. 112ft H. 196ft I. 392 ftFor Exercises 14, choose the correct letter. The figures are similar. What is the missing length? A. 9.33cm B. 5.4cm C. 6cm D. 21cmFor Exercises 14, choose the correct letter. A model car is constructed with a scale of 1:15. If the actual car is 12 feet long, which proportion represents the length x of the model car? F. 115=x12 G. 115=12x H. 1215=1x 112=15xThe scale of a map is 0.5 in. : 25 mi. The actual distance between two cities is 725 mi. Write a proportion that represents the relationship. How far apart will the cities be on the map?Find each percent. What percent of 42 is 28?Find each percent. What percent of 48 is 18?Find each percent. What percent of 150 is 350?Find each percent. What percent of 99 is 72?Find each percent. What percent of 15 is 12?Find each percent. What percent of 120 is 200?Find each part. What is 75 of 180?Find each part. What is 40 of 720?Find each part. What is 125 of 62?Find each part. What is 50 of 821?Find each part. What is 2.75 of $20 ?$Find each part. What is 16.5 of 33?A set of golf clubs that costs $600 are on sale for 40 off the regular price. What is the sale price of the clubs?A discount store marks up the merchandise it sells by 55. If the wholesale price of a particular item is $25, what should the retail price be set at?A used car lot runs sales at the end of the year to reduce inventory. This year the sale price is 15 less than the regular price. If the regular price of a car is $12,000, what is the sale price of the car?Find each base. 60 of what number is 75?Find each base. 115 of what number is 120?Find each base. 15 of what number is 6.75?Find each base. 5 of what number is 4.1?Find each base. 68 of what number is 64.6?Find each base. 65 of what number is 577.2?If you deposit $800 in a savings account that earns simple interest at a rate of 1.5 per year, how much interest will you have earned after 5 years?When Marty was born, his parents deposited $5000 in a college savings account that earns simple interest at a rate of 7.25 per year. How much interest will the money have earned after 18 years?You have $10,000 to deposit in a savings account that earns simple interest at a rate of 4.5 per year. How much interest will be in the account after 2 years?Tell whether you are finding a percent, a part, or a base. Then solve. What is 25 of 50?Tell whether you are finding a percent, a part, or a base. Then solve. What percent of 18 is 63?Tell whether you are finding a percent, a part, or a base. Then solve. What is 133 of 90?Tell whether you are finding a percent, a part, or a base. Then solve. What is 44% of 88?Tell whether you are finding a percent, a part, or a base. Then solve. What percent of 67 is 26.8?Tell whether you are finding a percent, a part, or a base. Then solve. 30.42 is 14 of what number?For Exercises 15, choose the correct letter. What percent of 92 is 23? A. 0.25 B. 4 C. 25 D. 400For Exercises 15, choose the correct letter. 60 of a number is 66. Which proportion best represents this relationship? F. 66b=60100 G. a66=60100 H. 60b=66100 6066=b100For Exercises 15, choose the correct letter. A store is having a clearance sale where merchandise on the sales racks is reduced by 80\% from the original price. If a jacket was originally priced at $76 what is the sale price? A. $15.20 B. $24.20 C. $60.80 D. $72.40For Exercises 15, choose the correct letter. If you deposit $3000 in a savings account that earns simple interest at a rate of 2.5 per year, how much interest will you have earned after 4 years? F. $30 G. $300 H. $3000 I. $30,000For Exercises 15, choose the correct letter. Five years ago you deposited a sum of money into a savings account which has earned $150 in interest. The interest rate for the account is 3 simple interest per year. How much money was originally deposited in the account? A. $22.50 B. $100 C. $1000 D. $10,000There are 3200 students at Martinsville High School. There are 575 students involved in athletics during the spring athletic seasons. What proportion represents the percent of students not involved in athletics during the spring season? What percent of students is not involved in athletics?Tell whether each percent change is an increase or decrease. Then find the percent change. Round to the nearest percent. Original amount: 10 New amount: 12Tell whether each percent change is an increase or decrease. Then find the percent change. Round to the nearest percent. Original amount: 72 New amount: 67Tell whether each percent change is an increase or decrease. Then find the percent change. Round to the nearest percent. Original amount: 36 New amount: 68Tell whether each percent change is an increase or decrease. Then find the percent change. Round to the nearest percent. Original amount: 23 New amount: 25Tell whether each percent change is an increase or decrease. Then find the percent change. Round to the nearest percent. Original amount: 83 New amount: 41Tell whether each percent change is an increase or decrease. Then find the percent change. Round to the nearest percent. Original amount: 19 New amount: 30Tell whether each percent change is an increase or decrease. Then find the percent change. Round to the nearest percent. Original amount: 38 New amount: 45Tell whether each percent change is an increase or decrease. Then find the percent change. Round to the nearest percent. Original amount: 16 New amount: 11Tell whether each percent change is an increase or decrease. Then find the percent change. Round to the nearest percent. Original amount: 177 New amount: 151The price of the truck was advertised as $19,900. After talking with the salesperson, Jack agreed to pay $18,200 for the truck. What is the percent decrease to the nearest percent?The Ragniers purchased a house for $357,000. They sold their home for $475,000. What was the percent increase to the nearest percent?The original price for a gallon of milk is $4.19. The sale price this week for a gallon of milk is $2.99. What is the percent decrease to the nearest percent?Find the percent error in each estimation. Round to the nearest percent. You estimate that a building is 20m tall. It is actually 23mtall.Find the percent error in each estimation. Round to the nearest percent. You estimate the salesman is 45 years old. He is actually 38 years old.Find the percent error in each estimation. Round to the nearest percent. You estimate the volume of the storage room is 800ft3. The rooms volume is actually 810ft3.A measurement is given. Find the minimum and maximum possible measurements. A nurse measures a newborn baby to be 22 in. long to the nearest in.A measurement is given. Find the minimum and maximum possible measurements. A bag of apples weighs 4 lbs to the nearest lb.A measurement is given. Find the minimum and maximum possible measurements. Fencing sections come in lengths of 8ft to the nearest foot.Find the percent change. Round to the nearest percent. 16m to 1114mFind the percent change. Round to the nearest percent. 76ft to 5812ftFind the percent change. Round to the nearest percent. 215121b to 13314lbFind the percent change. Round to the nearest percent. $42.75 to $39.99Find the percent change. Round to the nearest percent. $315.99 to $499.89Find the percent change. Round to the nearest percent. $5762.76 to $4999.99The measured dimensions of a rectangle are given to the nearest whole unit. Find the minimum and maximum possible areas of each rectangle. 4cm by 7cmThe measured dimensions of a rectangle are given to the nearest whole unit. Find the minimum and maximum possible areas of each rectangle. 16ft by 15ftThe measured dimensions of a rectangle are given to the nearest whole unit. Find the minimum and maximum possible areas of each rectangle. 5m by 12mThe measured dimensions of a shape or a solid are given to the nearest whole unit. Find the greatest percent error of each shape or solid. The perimeter of a rectangle with length 127ft and width 211ft.The measured dimensions of a shape or a solid are given to the nearest whole unit. Find the greatest percent error of each shape or solid. The area of a rectangle with length 14 in. and width 11 in.The measured dimensions of a shape or a solid are given to the nearest whole unit. Find the greatest percent error of each shape or solid. The volume of a rectangular prism with length 22cm, width 36cm, and height 19cmFor Exercises 15, choose the correct letter. Sam ran 3.5 miles on Saturday. On Wednesday, he ran 5.2 miles. What was his percent increase to the nearest percent? A. 33 B. 42 C. 49 D. 0.67For Exercises 15, choose the correct letter. A department store purchases sweaters wholesale for $16. The sweaters sell retail for $35. What is the percent increase to the nearest percent? F. 19 G. 46 H. 54 119For Exercises 1-5, choose the correct letter. Josephine measured the room to be 125ft wide and 225ft long. What is the maximum possible area of the room? A. 700ft2 B. 27,950.25ft2 C. 28,125ft2 D. 28,300.25ft2For Exercises 15, choose the correct letter. You estimate the height of the flagpole to be 16ft tall. The actual height of the flagpole is 18ft. Which equation can be used to determine your percent error in the estimated height? F. 161818 G. 161818 H. 161816 I. 161816For Exercises 15, choose the correct letter. You estimate that a box can hold 1152 in 3. The box is actually 10.5 in. long, 10.5 in. wide, and 8 in. tall. What is the percent error in your estimation? Round to the nearest percent. A. 23 B. 31 C. 42 D. 77You measure a tub shaped as a rectangular prism to be 3 ft wide, 4 ft long, and 2.5 feet tall to the nearest half foot. What are the minimum and maximum volumes of the tub? What is the greatest possible percent error in calculating the volume of the tub?Write an inequality that represents each verbal expression. v is greater 10.Write an inequality that represents each verbal expression. b is less than or equal to 1.Write an inequality that represents each verbal expression. The product of g and 2 is less than or equal to 6.Write an inequality that represents each verbal expression. 2 more than k is greater than -3.Determine whether each number is a solution of the given inequality. 3y+520 a. 2 b. 0 c. 5Determine whether each number is a solution of the given inequality. 2m410 a. -1 b. 8 c. 10Determine whether each number is a solution of the given inequality. 4x+39 a. 0 b. -2 c. -4Determine whether each number is a solution of the given inequality. 3n24 a. 3 b. 2 c. -10Graph each inequality. y2Graph each inequality. t4Graph each inequality. z3Graph each inequality. v15Graph each inequality. 3fGraph each inequality. 53cWrite an inequality for each graph.Write an inequality for each graph.Write an inequality for each graph.Write an inequality for each graph.Define a variable and write an inequality to model each situation. The school auditorium can seat at most 1200 people.Define a variable and write an inequality to model each situation. For a certain swim meet, a competitor must swim faster than 23 seconds to qualify.Define a variable and write an inequality to model each situation. For a touch-typing test, a student must type at least 65 wpm to receive an 'A.'Write each inequality in words. n3Write each inequality in words. b0Write each inequality in words. 5xWrite each inequality in words. 23.14Write each inequality in words. 26.4qWrite each inequality in words. 27.18mA local pizzeria offered a special. Two pizzas cost $ 14.99. A group of students spent less than $ 75. They purchased three pitchers of soda for $ 12.99. How many pizzas could the group purchase?A student needs at least seven hours of sleep each night. The student goes to bed at 11: 00 P.M. and wakes up before 6: 30 A.M. Is the student getting enough sleep? Write an inequality for the number of hours of sleep the student gets each night.For Exercises 16, choose the correct letter. A student will study French for at least 3 years. Which inequality describes the situation? A. y3 B. y3 c. y3 D. y3For Exercises 16, choose the correct Ietter. All employees of a company work less than 40 hours. Which inequality. describes the situation? F. h40 G. h40 H. h40 I. h40For Exercises 16, choose the correct letter. Which inequality has the same solutions as d5? A. d5 B. 5d C. d5 D. d5For Exercises 16, choose the correct letter. Which value of n makes the inequality 3+(n)n false? F3 G. -1 H. 0 I. 1For Exercises 16, choose the correct letter. Which number is a solution of the inequality 7x52? A. -3 B. -1 C. 0 D. 1For Exercises 16, choose the correct letter. Which inequality represents the graph shown below? F. x2 G. x2 H. x2 I. x2The chess club is seeking to raise at least $ 150 in a fundraiser. a. What inequality represents this situation? b. What is the graph of the inequality?State what number you would add to or subtract from each side of the inequality to solve the inequality. x40State what number you would add to or subtract from each side of the inequality to solve the inequality. 375+sState what number you would add to or subtract from each side of the inequality to solve the inequality. 6.8m4.2State what number you would add to or subtract from each side of the inequality to solve the inequality. 4.x+30State what number you would add to or subtract from each side of the inequality to solve the inequality. 254+sState what number you would add to or subtract from each side of the inequality to solve the inequality. 3.8m+4.2Solve each inequality. Graph and check your solutions. y27Solve each inequality. Graph and check your solutions. v+65Solve each inequality. Graph and check your solutions. 12c2Solve each inequality. Graph and check your solutions. 8f+4Solve each inequality. Graph and check your solutions. 4.32.4+sSolve each inequality. Graph and check your solutions. 22.5n0.9Solve each inequality. Graph and check your solutions. c+4767Solve each inequality. Graph and check your solutions. p+112112Solve each inequality. Justify each step. 15.y4+2y11Solve each inequality. Justify each step. 17+d127Solve each inequality. Justify each step. 23+v790Solve each inequality. Justify each step. 2p4+3p10Solve each inequality. Justify each step. 19.4y+23y8 aSolve each inequality. Justify each step. 5m4m+412The goal of a toy drive is to donate more than 1000 toys. The toy drive already has collected 300 toys. How many more toys does the toy drive need to meet its goal? Write and solve an inequality to find the number of toys needed.A family earns $ 1800 a month. The familys expenses are at least $ 1250. Write and solve an inequality to find the possible amounts the family can save each month.To go to the next level in a certain video game, you must score at least 50 points. You currently have 40 points. You fall into a trap and lose 5 points. What inequality shows the points you must earn to go to the next level?For Exercises 16, choose the correct letter. What is the solution of p1218? A. p30 B. p6 C. p6 D. p30For Exercises 16, choose the correct letter. What is the solution of x+529? F. x24 G. x24 H. x24 I. x24For Exercises 16, choose the correct letter. Which graph represents all of the solutions of z73?For Exercises 16, choose the correct letter. Which graph represents all of the solutions of n20?For Exercises 16, choose the correct letter. Which inequality is equivalent to 1m+4? A,m5 B. m5 C. m5 D. m3For Exercises 16, choose the correct letter. Your goal in training for the race is to run more than 50 miles per week. So far this week you have run 32 miles. Which inequality represents the situation? Fd18 G. d3250 H. d+3250 d+3250In order to earn an A in a class, your test scores must average at least 92. On the first 6 tests, you have an average of 91. What score do you need to get on the last test to earn an A? Show your work.Solve each inequality. Graph and check your solution: x31Solve each inequality. Graph and check your solution: w41Solve each inequality. Graph and check your solution: 4p2Solve each inequality. Graph and check your solution. 123ySolve each inequality. Graph and check your solution: 623xSolve each inequality. Graph and check your solution: 6.123kSolve each inequality. Graph and check your solution: 3m6Solve each inequality. Graph and check your solution: 3t12Solve each inequality. Graph and check your solution: 186cSolve each inequality. Graph and check your solution: 3w21Solve each inequality. Graph and check your solution: 9z36Solve each inequality. Graph and check your solution: 1089dSolve each inequality. Graph and check your solution. 2.55pSolve each inequality. Graph and check your solution. 1t6Solve each inequality. Graph and check your solution. 23n4Solve each inequality. Graph and check your solution. 16.27u3Writing On a certain marathon course, a runner reaches a big hill that is at least 10 miles into the race. If a total marathon is 26.2 miles, how can you find the number of miles the runner still has to go?You wonder if you can save money by using your cell phone for all long distance calls. Long distance calls cost $ .05 per minute on your cell phone. The basic plan for your cell phone is $ 29.99 each month. The cost of regular phone service with unlimited long distance is $ 39.99. Define a variable and write an inequality that will help you find the number of long-distance call minutes you may make and still save money.The unit cost for a piece of fabric is $ 4.99 per yard. You have $ 30 to spend on material. How many feet of material could you buy? Define a variable and write an inequality to solve this problem.For Exercises 15, choose the correct letter. What is the solution of a102? A. a20 B. a20 C. a5 D. a5For Exercises 15, choose the correct letter. What is the solution of 323z? F. z92 G. z92 H. z92 I. z92For Exercises 15, choose the correct letter. What is the solution of 486h? A. h8 B. h8 C. h8 D. h8For Exercises 15, choose the correct letter. You have budgeted to spend no more than $ 108 on gasoline for your vehicle this month. It typically takes $ 27 to fill up your tank. Which inequality represents how many times you can fill your tank this month? F. 27f=108 G. 27f108 H. 27f108 I. 27f108For Exercises 15, choose the correct letter. Which graph represents all of the solutions of 15b45?In a town, there are 170 teenagers that own portable media players. This is at least 23 of all the teenagers in the town. What is the maximum number of teenagers who live in the town? Show your work.Solve each inequality. Check your solutions. 3f+921Solve each inequality. Check your solutions. 4n3105Solve each inequality. Check your solutions. 33y38Solve each inequality. Check your solutions. 2+2p17Solve each inequality. Check your solutions. 12606rSolve each inequality. Check your solutions. 6.511+4jSolve each inequality. 2(k+4)3k14Solve each inequality. 3(4c5)2c0Solve each inequality. 15(j3)+3j45Solve each inequality. 225(2y+3)3ySolve each inequality. 11.533(3z+3)+3zSolve each inequality. 20(d4)+4d8Solve each inequality. x+23x6Solve each inequality. 3v125v+10