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5 years ago, Helen was three times as old as Arlene

Monday’s Warm Up. Helen is now 20 years old and Arlene is 10 years old. How many years ago was Helen three times as old as Arlene was then?. 5 years ago, Helen was three times as old as Arlene. Monday’s Classwork.

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5 years ago, Helen was three times as old as Arlene

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  1. Monday’s Warm Up Helen is now 20 years old and Arlene is 10 years old. How many years ago was Helen three times as old as Arlene was then? 5 years ago, Helen was three times as old as Arlene

  2. Monday’s Classwork We are now going to set up equations for various word problems by rotating partners There will be a Word Problem Quiz this Friday on everything up to and including Age Problems!!!

  3. 1. The larger of two numbers is 1 less than 8 times the smaller. Their sum is 179. Find the numbers.

  4. 2. Andy’s weight is 5 kilograms less than twice his brother’s. Together they weigh 100 kilograms. What are their weights?

  5. 3. The sum of three numbers is 61. The second number is 5 times the first, while the third is 2 less than the first. Find the numbers.

  6. 4. Video Factory charges its members an annual fee of $16. Members can then rent movies for $2 per movie. They also allow non members to rent movies for $6 per movie. For how many movie rentals is the cost for members and non-members the same?

  7. 5. The sum of three numbers is 84. The second number is twice the first, and the third is 4 more than the second. Find the numbers.

  8. 6. Together a chair, a table, and a lamp cost $562. The chair costs 4 times as much as the lamp, and the table costs $23 less than the chair. Find the cost of the table

  9. 7. The sum of the angle measures of any triangle is 180°. Find the angle measures of a triangle if the second angle measures 10° less than twice the first, and the third angle measures 25° more than the second.

  10. 8. Five times a number is the same as 22 more than three times the number. Find the number.

  11. 9. The sum of four consecutive even integers is 308. What are the integers?

  12. 10. The length of a rectangle is three times the width. If the length is increased by 4 cm and the width is decreased by 1 cm, the perimeter will be 102 cm. Find the dimensions of the original rectangle.

  13. 11. The attendance at a baseball game was 400 people. Student tickets cost $2 and adult tickets cost $3. Total ticket sales were $1050. How many tickets of each type were sold?

  14. 12. Chickens have two feet while pigs have four feet. A pen holding only these two types of animals contains 13 animals with 44 feet. How many chickens and how many pigs are in the pen?

  15. 13. Keith weighs 20 kg more than Beth, while Henry weighs 30 kg less than twice as much as Beth. If Keith and Henry weigh the same, how much does Beth weigh (in kg)?

  16. 14. Find three consecutive integers such that the sum of triple the largest and double the smallest is 13 more than six times the middle integer

  17. 15. The length of a rectangle is five more than twice the width. If the length is decreased by 7 cm and the width is doubled, the perimeter will be 44 cm. Find the dimensions of the original rectangle

  18. 16. Suppose your club is selling candles to raise money. Small candles sell for $4 a piece and large candles sell for $10 a piece. How many of each type of candle did you sell if you sold 25 candles for a total of $142?

  19. 17. If a touchdown is worth 7 points and a field goal is worth 3 points, how many of each did a football team have if the team scored 6 times and earned 26 points?

  20. 18. Cycle Paths, Inc. makes bicycles, tricycles, and unicycles. Last week they made 88 more bicycles than unicycles, and 5 times as many tricycles as unicycles. If they made 40 more bicycles than tricycles, how many unicycles did they make?

  21. Monday’s Homework Age Problems Worksheet Set up and solve each problem algebraically!!

  22. Tuesday’s Warm Up A 23 question, 100 point exam consists of multiple choice and open ended questions. How many of each type of question are on the exam if multiple choice questions are worth 2 points each and open ended questions are worth 5 points each?

  23. Tuesday’s Classwork The sum of two numbers is 24. Seven times the smaller number is the same as 5 times the larger number. Find the smaller number.

  24. Tuesday’s Classwork An orange has 20 fewer calories than a banana. If 7 bananas have the same number of calories as 9 oranges, how many calories are in a banana?

  25. Tuesday’s Classwork Work on today’s word problem worksheet. Review solutions at the end of the period.

  26. Tuesday’s Homework Take Home Quiz

  27. Wednesday’s Warm Up Find three consecutive even integers such that twice the sum of the second and third is 34 more than triple the first. Mrs. Watson was 25 years old when her daughter Rose was born. Now Mrs. Watson’s age exceeds 4 times Rose’s age by 10 years. How old are they now?

  28. Wednesday’s Warm Up Find three consecutive even integers such that twice the sum of the second and third is 34 more than triple the first.

  29. Wednesday’s Warm Up Mrs. Watson was 25 years old when her daughter Rose was born. Now Mrs. Watson’s age exceeds 4 times Rose’s age by 10 years. How old are they now? Mrs. Watson is now 30 years old and Rose is now 5 years old

  30. Wednesday’s Classwork Complete the Consecutive Integer Puzzle and the Age Problem Puzzle. Remember, Quiz Friday!!!

  31. Thursday’s Warm Up Complete the Age Problem Puzzle pg 50. Remember, Quiz Friday!!!

  32. Perimeter Challenge Question #1 If one side of a square is increased by 4 inches and an adjacent side is multiplied by 4, the perimeter of the resulting rectangle is 3 times the perimeter of the square. Find the area of the original square.

  33. Perimeter Challenge Question #2 The length of a rectangle exceeds its width by 4 feet. If the width is doubled and the length is reduced by 2 feet, a new rectangle is formed whose perimeter is 8 feet more than the perimeter of the original rectangle. Find the dimensions of the original rectangle.

  34. Thursday’s Homework Study For Quiz!!!

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