Quick Check Name 10-7A 3 1? 1. Which is the sum of 8 __ 1 2 __ 4 2. Which is the difference of 3 1 12 __ ? 25__ 2 1 A 10__ 4 __ B 10 12 8 4 1 A 13__ 8 2 B 13__ 6 1 C 11__ 6 1 C 12__ 3 1 D 11__ 4 3 D 12__ 8 5 1 1 3__ 1? 3. What is (9__ ) 5__ 3 6 6 1 A 18__ 3 5 B 8__ 6 C 8 D 7 4. WritingtoExplain Emma made a rectangular picture frame 5 2 inches wide. inches. The frame is 5 __ with a height of 25 __ 6 3 What is the height of the picture Emma placed in the picture frame? Explain how you found your answer. 2 5 3 in. 5 h 25 6 in. 2 5 3 in. ART FILE: CUSTOMER: ScottForesman CREATED BY: EDITED BY: created @ NETSQ 10•7A REVISION: TECH 44915_T09_045a lf JOB NUMBER: DATE: 11609 10-20-08 DATE: TIME: 40 min Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 5 only altered @ NETS (place checkmark) Par tner Talk Sh k. are wor your t hinking while you Get Started or Get 10 squares in one color and 10 in another color. Get two number cubes. Take turns with another player or team. Talk about math as you play! At Your Turn Toss two number cubes. Add the dots. Find your toss below. Follow the directions. Explain your thinking. Cover the answer. If the answer is taken, lose your turn. Have fun! Toss Read the expression. Explain how to add or subtract. Simplify the expression. 2 3 4 59 – 2 3 4 23 + 19 5 48 – 14 6 13 + 24 1 2 2 1 7 42 – 13 1 8 + 2 41 8 45 – 22 1 9 1 56 + 2 3 2 4 10 3 4 – 12 3 3 11 2 10 + 1 5 1 3 12 3 6 – 1 31 5 2 1 7 1 1 5 5 28 1 49 1 22 26 3 14 9 1 10 1 4 12 7 38 2 29 5 26 1 42 9 3 10 1 28 5 9 1 10 1 4 12 How to Win 42 You win if you are the first to get four connected rectangles, like: 5 If you have more time Play again! Center Activity H 10-7A Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 5 Par tner Talk Sh k. are wor your t hinking while you Get Started or Get 10 squares in one color and 10 in another color. Get two number cubes. Take turns with another player or team. Talk about math as you play! At Your Turn Toss two number cubes. Add the dots. Find your toss below. Follow the directions. Explain your thinking. Cover the answer. If the answer is taken, lose your turn. Have fun! Toss Read the expression. Explain how to add or subtract. Simplify the expression. 2 4 3 – 2 56 3 2 4 + 1 23 4 (1 3 + 1 41 ) + 2 12 5 6 (4 5 – 2 2 ) + 1 10 2 3 1 7 (2 3 + 2 4 ) – 2 2 8 (5 8 – 1 43 ) – 1 58 9 (2 3 + 2 6 ) – 2 6 10 (1 2 + 2 4 ) + 1 4 (3 8 + 1 2 ) – 2 4 1 11 42 – 15 3 12 2 5 + 1 10 1 3 7 1 1 5 4 7 28 1 7 1 1 1 1 1 3 5 3 3 7 2 10 9 13 2 35 1 52 1 22 11 2 12 1 12 3 4 10 3 35 2 13 1 56 11 28 5 22 2 12 How to Win 7 4 12 You win if you are the first to get four connected rectangles, like: 3 1 If you have more time Play again! Center Activity HH 10-7A Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 5 Reteaching Name 10-7A More Adding and Subtracting Mixed Numbers You can use what you know about adding and subtracting with mixed numbers when you simplify expressions with mixed numbers. ( ) 1 + 6__ 1 – 2__ 1. Simplify 4__ 8 4 2 Step 1 Add the mixed numbers in parentheses first. Find a common denominator. 1 + 6__ 1 4__ 8 4 3 1 + 6__ 2 = 10__ 4__ 8 1 from the sum Step 2 Subtract 2__ 2 you found. Find a common denominator. 8 8 3 1 10__ – 2__ 8 2 3 4 10__ – 2__ 8 8 3 4 from __ . You can’t subtract __ 8 8 11 – 2__ 4 = 7__ 7 9___ Step 3 Rename if possible. 8 8 8 In 1 through 9, simplify each expression. Remember to rename mixed numbers if possible. ( ) ( ) ( 3 6 4 + 2___ – 2___ 1. 12__ 7 14 14 3 1 + 2__ 1 2. 5__ – 3__ 5 9 1 + 2___ 3. 10___ – 5__ 6 5 3 + ___ + 1__ 4. __ 3 4 + 1___ 1 5. 1___ + 1__ 5 3 1 + 1__ 7 6. 3__ – 1__ 5 9 18 6 10 3 2 + __ 1 + 7__ 7. 1___ 12 6 2 4 ( 4 2 20 ) 5 20 1 – 1___ 8. 1__ + 3__ 8 4 24 16 ( 8 4 ) 16 ) 8 3 3 1 + 7___ 9. 5__ + 1__ 4 20 4 7 days working on her English paper, 3__ 1 days 10. Suzy spent 6__ 8 6 1 __ doing her science project, and 1 days studying for her 2 math test. How many days more did Suzy spend on her English paper and math test than on her science project? R 10•7A Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 5 Practice Name 10-7A More Adding and Subtracting Mixed Numbers In 1 through 16, simplify each expression. 1 + 4__ 2 1. 2__ 8 5 1 – 6__ 3. 8__ 1 – 3__ 2 2. 9__ 3 6 ( 2 3) 6 ( 10__14 – 5__58 ) – 1__38 ( 2__23 + 4__56 ) + 3__38 9 4 ( ) 5 1 + 8__ 2 – 3__ 5. 3__ 5 1 – 4__ 7 6. 14__ + 1___ 8. 3 2 – 5___ 2 9. 100___ – 60__ 11. 6 9 3 12 3 ) 2 8 ( ) 3 4 + 5__ 7 10. 25__ – 10__ 5 8 8 15 5 1 + 4__ 1 – 19__ 12. 30__ 9 ( 7 + 3__ 1 + 1__ 7 7. 7___ 18 10 ( 3 4 + 5___ 4. 6__ 5 10 8 ( 5 2 + 5__ 1 – 1__ 13. 7__ 6 3 6 9 ) ) 14. Which shows three mixed numbers that have sum of 10? 5 3 2 + 3___ + 4__ A 1__ 4 3 1 + 1__ 1 C 2__ + 5__ 5 1 + 3__ 1 + 3___ B 3__ 1 + 1__ 7 + 3__ 7 D 5__ 3 3 12 4 12 8 2 4 4 8 8 1 + 3__ 2 + 5__ 1? 15. What is a reasonable estimate for the sum of 4__ 8 3 2 16. Veronica is buying cubed cheese from Mr. Sand’s deli. 3 pounds. When Mr. Sand places some She asks for 1__ 4 cheese in a container and weighs it, the scale shows 1 pounds. The container weighs ___ 1 pound. How many 1__ 4 16 more pounds of cheese would Mr. Sand need to add to the scale to get the amount that Veronica asked for? Explain how you solved the problem. P 10•7A Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 5 Enrichment Name 10-7A Table Time Make tables to solve. Write each answer in a complete sentence. 1. A train has 3 engines, 52 boxcars, and 1 caboose. At every stop, it picks up 8 more boxcars. How many total cars (engines, cars, and cabooses) will the train have after 5 stops? 2. Eileen likes to keep scrapbooks. She already has 4 scrapbooks filled with 40 pages each. If she fills 5 pages every month, how many months will it take her to fill up 2 more 40-page scrapbooks? 3. Phil’s Garage charges $50 for towing and $40 per hour to fix a car. Cliff’s Cars charges $60 for towing and $38 per hour to fix a car. After how many hours of working on a car will the cost of towing and fixing a car be the same at the two repair shops? 4. Dominic got a new video game. The first time he played the game he scored 80 points. After that, each time he played he increased his score by 60 points. How many times will he have to play before he scores 500 points? 5. A scientist is studying certain germs. She places 3 germs in a special solution that will help the germs grow. The number of germs doubles every hour. How many germs will there be after 8 hours? 6. Ed saved $50 one week. For the next 6 weeks, he saved $25 more than he saved the week before. How much did he save in all? One student solved this problem using the expression $50 1 6($25) 5 $200. What error was made? E 10•7A Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 5
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