Algebra Word Problems on a Separate Sheet of Paper, Do the Following for Each Word Problem: Define the Variable/Unknowns, Write
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Algebra Word Problems On a separate sheet of paper, do the following for each word problem: define the variable/unknowns, write an algebraic equation, solve using proper steps, and state the final answer in a complete sentence. EXAMPLE: In the 2004-2005 Los Angeles Clippers’ basketball season, Corey Maggette’s salary was $3 million more than Quentin Richardson. Maggette’s salary was half of Elton Brand’s. Altogether their salaries totaled $21 million. What were each of their salaries? r = Richardson’s salary r+r+3+2(r+3) = 21 Richardson’s salary was $3 million, Maggette’s salary was r+3 = Maggette’s salary r+r+3+2r+6 = 21 $9 million, and Brand’s salary was $12 million. 2(r+3) = Brand’s salary 4r + 9 = 21 -9 -9 4r = 12 4 4 r = 3 1. A piggy bank has a total of 31 coins, all nickels, dimes, and quarters. There are three fewer dimes than nickels. There are one-third as many quarters as dimes. How much money, in dollars, is in the piggy bank? 2. Homer is eating at Krusty Burger. His meal consists of three cheeseburgers and two orders of fries, totaling 2240 calories. One order of fries has 80 fewer calories than a cheeseburger. How many calories are in a Krusty cheeseburger? 3. The Los Angeles Galaxy have played 25 games this season. They have won and lost the same number of games. They have tied half as many games as they have lost. How many games did they win, lose, and tie? 4. Ed, Ted, and Fred are ordering some pizzas. They all empty their pockets. Fred has half as much money as Ed. Ted has $6 less than Ed. Together they have $39. How much does each have?(8) 5. In one day, Machine A caps twice as many bottles as Machine B. Machine C caps 500 more bottles than Machine A. The three machines cap a total of 40,000 bottles in a day. How many bottles does each of the machines cap in one day? 6. A rectangle is four centimeters longer than it is wide. The perimeter is 96 cm. What are the rectangle’s dimensions? 7. A rectangle’s length is eight centimeters more than three times its width. If the perimeter is 128 cm, find the dimensions. 8. The PTA needs to raise $15,000 from its membership. Each membership brings in $10. If they begin with $2500, how many memberships will be needed? 9. On Tuesdays, McDonald’s sells half as many 6-piece chicken McNuggets as they do on Monday. On those two days, a total of 492 orders of 6-piece chicken McNuggets were sold. How many were sold on Tuesday? 10. A board ten feet long is cut into three pieces. One piece is one foot longer than the shortest piece and two feet shorter than the longest piece. How long is each piece? 11. In the 2005-2006 NBA season, Corey Maggette made $1 million more than Sam Cassell. Elton Brand made $1 million less than double Corey Maggette’s salary. In all, they made $26 million. What was Sam Cassell’s salary? 12. Algebra has a total of 51 students. There are three more girls than boys. How many girls are there? 13. Jill, Bill, and Phil have $171 together. Jill has three times as much money as Bill. Bill has twice as much money as Phil. How much does each have? 14. At Mar Vista bowl, the cost to rent a pair of shoes is $7. Each game bowled costs $2.50. If the total cost to rent a pair of shoes and bowl was $19.50, how many games were bowled? 15. A cell phone plan from Cingular costs $39.99 per month. This includes 500 “anytime minutes”. Each additional minute costs $0.40. If one month’s bill was $89.19, how many additional minutes were used? 16. Steve is on a weight loss program. His goal weight is 195 pounds. He currently weighs 339 pounds and plans to lose three pounds each week. How long will it take him to reach his goal? 17. For Mother’s Day, Tina painted her mom a plate. Color Me Mine charged $23 for the plate, $9 for the painting fee, and a $6 per hour to use their space. Tina spent a total of $50. How long did she paint? 18. Jan is preparing for a marathon. She starts running on Monday. She has decided that each day she will run one mile more than the day before. After her run on Friday, she has run a total of 25 miles. How many miles did she run Friday? .