Unit 1 - Whole Numbers Study Guide

1. Mr. Watt’s class is presenting a play. The chairs in the auditorium are arranged into two sections. Which expression could be used to determine the number of chairs? (3 + 5) x 4 (3 x 5) x 4 (3 x 5) + 4 (3 x 4) + (3 x 5) 2. Which phrase shows the below expression using only numbers and symbols. Three times the sum of six and twelve 3 (6 + 12) 3 x 6 x 12 3 (6 x 12) 3 x 6 - 12 3. Jane bought a 364-square-inch poster. The length of the poster is 14 inches. What is the width, w, of the poster? Be sure to show your work on paper. 32 inches 350 inches 380 inches 26 inches 4. Solve in your journal 11,853 3,916 6,429 12,376 5. Janet and Bob are looking at the following problem: How does the product of 10 x 15 compare to the product of 20 x 15? Janet says she can compare these products without computing to find the solutions. Explain how she might do this. The product of 10 x 15 would be 150 and the product of 20 x 15 would be 250. The product of 10 x 15 would be half of the product of 20 x 15 since 10 is half of 20. The product of 20 x 10 is less than the product of 10 x 15 because the numbers are higher. The product of both expressions can't be compared because they are different numbers. 6. Joe solved 4,500 ÷ 36 using the partial quotient strategy. He decided that the quotient is 305. What error did he make? Joe's answer is correct. He did not make any errors. Joe did not multiply 36 x 100 correctly. 100 x 36 is 3,600, not 360. Joe should have put 10 instead of 100. 10 x 36 is 360, not 3600. Joe did not add his partial quotients correctly. 7. How can you write the phrase shown using only numbers and symbols. The difference of seventy-six and twenty-two divided by three 8. Solve the following expression: 16 ÷ 4 x 3 12 4 28 2 9. Choose the expressions for the phrase below: Triple six and then subtract fifteen 6 + 6 + 6 - 15 3 x 6 x 15 6 x 15 (3 x 6) - 15 10. Martin correctly solved 30 x 300 = 9,000. How can he use this information to help him solve 29 x 300? His answer will be 300 less because he is multiplying one less group of 300. His answer will be more than 9,000 because the factors are higher. His answer will be 300 more because he is multiplying one more group of 300. This information will not help him solve 29 x 300. 11. Using strategies based on place value or models solve the problem shown below. 2,844 ÷ 9 32 r3 316 531 r3 120 12. Evaluate the following expression: 3 + [4 (37 – 12)] ÷ 5 453 5 65 23 13. A pencil company can pack 12 pencils per box for shipping. If they need to ship 521 pencils to Burnette Elementary School, how many boxes will it take to ship all 521 pencils? 44 boxes 43 boxes 25 boxes 58 boxes 14. Johnny is saving up to buy a game console that costs $555. He plans to save $37 a month. How many months will it take him to save enough money to buy his game console? 8,325 months 4 years 15 months 76 months 15. Part A:Explain why the expression 16 – 4 ÷ 2 does not equal to 6. because 4 ÷ 2 is not 6 because you need to divide before you subtract because you need to subtract before you divide because 16 - 4 is 12. Part B.Choose the expression that equals to 6. 16 - 4 ÷ 2 (16 - 4 ÷ 2) 16 - (4 ÷ 2) (16 - 4) ÷ 2 16. John arranges his Pokémon cards in 18 rows with 23 cards in each row. His friend Jose has 4 times as many Pokémon cards as John. Choose a multiplication equation to represent the total number of Pokémon cards Jose has. 23 - 18 x 4 4 (18 x 23) 4 - 18 x 23 (18 - 4) x 23 17. Sammy’s beauty store sells bottles of shampoo. Each bottle contains 24 fluid ounces of shampoo. Sammy can buy boxes of shampoo with 15 bottles in each box from a company.Part A:In this week’s order, Sammy ordered 8 boxes of shampoo, but she has promised 3 bottles to a special client. Choose an expression that can be used to find the total number of ounces of shampoo Sammy will have in the store once her order comes in and she gives away the bottles she promised to her client. 8 (24 x15) - (3 x 24) 24 x 15 - 8 (3 x 24) 8 x 24 (15 - 3) x 24 24 x 3 - (8 x 24) - 15 Part B:What is the value of your expression in Part A? 2,808 oz 216 oz 55,296 oz 105 oz Part C:Sammy decides to make smaller sample bottles for her customers to purchase. The sample bottles can hold 4 ounces of shampoo. How many bottles will Sammy be able to fill with the bottles she has left?Use your answer from Part A and Part B to answer this question. 45 sample bottles 102 sample bottles 742 sample bottles 702 sample bottles