3-5 Adding and Subtracting Like Fractions Find each sum or difference. Write in simplest form. 17. 13. SOLUTION: SOLUTION: 14. 18. SOLUTION: SOLUTION: 15. 19. SOLUTION: SOLUTION: 16. SOLUTION: 20. SOLUTION: 21. 17. eSolutions Manual - Powered by Cognero SOLUTION: SOLUTION: Page 1 3-5 Adding and Subtracting Like Fractions 21. Evaluate each expression if x = SOLUTION: z= ,y = , and . 24. y – z SOLUTION: 22. SOLUTION: 25. y – x SOLUTION: 23. SOLUTION: 26. x – z SOLUTION: Evaluate each expression if x = ,y = , and 27. z – x z= . eSolutions 24. y – zManual - Powered by Cognero SOLUTION: SOLUTION: Page 2 3-5 Adding and Subtracting Like FractionsNan grew 27. z – x 29. Yahto needs inches. cups of sugar to make cookies. He SOLUTION: needs an additional cup for bread. Find the total amount of sugar that Yahto needs. SOLUTION: 28. Be Precise Nan was inches tall at the end of inches by March. How the summer. She was much did she grow during that time? SOLUTION: Yahto needs cups of sugar. Find the distance between each pair of points. Simplify if necessary. Nan grew inches. 30. and SOLUTION: 29. Yahto needs cups of sugar to make cookies. He needs an additional Find the absolute value of the difference of and cup for bread. Find the total . amount of sugar that Yahto needs. SOLUTION: So, the distance between 31. cups of sugar. is unit. and eSolutions Manual - Powered by Cognero Yahto needs and Page 3 SOLUTION: the distanceand between and is Like unit. Fractions 3-5So,Adding Subtracting So, the distance between 31. and is unit. and 33. SOLUTION: and SOLUTION: Find the absolute value of the difference of and Find the absolute value of the difference of . and . The distance between So, the distance between and is unit. and is unit. Find each sum or difference. Write in simplest form. 34. 32. and SOLUTION: SOLUTION: Find the absolute value of the difference of and . 35. SOLUTION: So, the distance between 33. and is unit. and SOLUTION: eSolutions Manual - Powered by Cognero Find the absolute value of the difference of 36. A triathlon is a race with swimming, biking and running. If an athlete swims for Page 4 minutes, bikes 3-5 Adding and Subtracting Like FractionsThe athlete will compete for minutes. 37. The table shows the weight of Leon’s dog during its first 5 years. 35. SOLUTION: a. How much weight did Leon’s dog gain or lose between ages 3 and 4? between years 1 and 5? b. If Leon’s dog gains pounds each year between years 5 and 7, how much will his dog weigh? 36. A triathlon is a race with swimming, biking and running. If an athlete swims for for minutes, and runs for minutes, bikes minutes,what SOLUTION: a. Leon’s dog lost pound between ages 3 and 4. was his total time? SOLUTION: Leon’s dog gained pounds between years 1 and 5. b. The athlete will compete for minutes. 37. The table shows the weight of Leon’s dog during its first 5 years. a. How much weight did Leon’s dog gain or lose between ages 3 and 4? between years 1 and 5? b. If Leon’s dog gains pounds each year between years 5 and 7, how much will his dog weigh? Leon’s dog will weigh pounds at age 7. 38. A lasagne recipe uses teaspoons of basil, teaspoon of pepper, and 4 teaspoons of parsley. If you double the recipe, how many teaspoons of seasoning will you use? SOLUTION: SOLUTION: a. eSolutions Manual by Cognero Leon’s dog- Powered lost pound between ages 3 and 4. Page 5 will use dog willand weighSubtracting pounds at age 7. 3-5Leon’s Adding Like FractionsYou recipe. 38. A lasagne recipe uses teaspoons of basil, total teaspoons if you double the 44. The average times it takes Miguel to cut his lawn and his neighbor’s lawn are given in the table. teaspoon of pepper, and 4 teaspoons of parsley. If you double the recipe, how many teaspoons of seasoning will you use? SOLUTION: Last summer, he cut his lawn 10 times and his neighbor’s 6 times. How many hours did he spend cutting both lawns? A h B 14 h C h D 15 h SOLUTION: You will use total teaspoons if you double the recipe. 44. The average times it takes Miguel to cut his lawn and his neighbor’s lawn are given in the table. Miguel spent 15 hours cutting both lawns last summer. Choice D is correct. 45. A piece of wood is Last summer, he cut his lawn 10 times and his neighbor’s 6 times. How many hours did he spend cutting both lawns? A h inches thick. A layer of inch thick is placed on top of the wood. padding What is the total thickness of the wood and the padding? F in. G in. B 14 h C h eSolutions D Manual 15 h - Powered by Cognero H in. Page 6 The total thickness of the wood and the padding is spent 15 hours cutting both lawns last 3-5Miguel Adding and Subtracting Like Fractions summer. Choice D is correct. 45. A piece of wood is inches thick. A layer of inches. Choice J is correct. 46. Ronata is putting lace around the tablecloth shown below. How much lace will she need to cover all 4 sides? inch thick is placed on top of the wood. padding What is the total thickness of the wood and the padding? F in. G in. A H in. J in. in. B 41 in. C 125 in. D 250 in. SOLUTION: SOLUTION: Find the perimeter of the tablecloth by adding the length of all 4 sides. Ronata will need 250 inches of lace. Choice D is correct. 47. SHORT RESPONSE Simplify the expression below. The total thickness of the wood and the padding is SOLUTION: inches. Choice J is correct. 46. Ronata is putting lace around the tablecloth shown below. How much lace will she need to cover all 4 sides? eSolutions - in. Powered by Cognero A Manual B 41 in. Page 7

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