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Name _______________________________________ Date __________________ Class __________________ 7.NS.1a, 7.NS.1b SELECTED RESPONSE 3. Which sum does the number line represent? Select the correct answer. 1. Which of the following situations involve opposite quantities combining to make 0? Stella has a new piggy bank. She adds 3 quarters on Tuesday, and then adds another 3 quarters on Thursday. 11 (9) 11 9 11 (2) Devon opens a new checking account with $30. His first purchase, made with his new debit card, totals $28. 11 (2) Select all correct answers. 4. On a number line, which of the following sums is to the left of the first number in the sum? 1 Joe makes 1 liters of lemonade 2 and drinks it all during the afternoon. 9 1 Brittany is writing a novel. She wrote 4 new pages to finish Chapter 1. When she reviews Chapter 1, she discards these 4 pages and an additional 4 pages. - 1 4 + 6 3 15 (8) 2. What is the location of the sum 11 (5) with respect to 11 on a number line? 2 6 5 units in the negative direction 5 units in the positive direction 11 units in the negative direction 11 units in the positive direction Match each expression with the verbal description for the location of the sum. ____ 5. 17 (10) ____ 6. 5 (7) ____ 7. - 11 +6 4 ____ 8. 9 20 11 4 11 6 units to the right of 4 7 units to the left of 5 7 units to the right of 5 10 units to the left of 17 10 units to the right of 17 20 units to the left of 9 20 units to the right of 9 A 6 units to the left of B C D E F G H Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. Grade 7 13 Common Core Assessment Readiness Name _______________________________________ Date __________________ Class __________________ CONSTRUCTED RESPONSE 13. Jayce goes out for a walk. He walks 5 miles from home. He walks back 4 1 mile before meeting up with his friend 2 Macy. Write an expression (a sum) that describes this situation and use the number line to find the sum. What is the meaning of this sum? 9. Jean walks forward 80 feet to his mailbox. He then walks the 80 feet back. Does Jean end up back where he started? Explain your reasoning. ________________________________________ ________________________________________ 10. An earned run average (ERA) in baseball is the number of earned runs a pitcher gives up per 9 innings. One year, a professional baseball pitcher had a 3.91 ERA. His ERA was 0.74 points lower the next year. What is the sum and its interpretation? ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ 3 gallon of gasoline into her 4 snow thrower’s empty fuel tank. She uses 1 gallon for the snowstorm on Friday, 4 1 and then uses another gallon for the 4 snowstorm on Sunday. Is the fuel tank empty after Becky uses the snow thrower on Sunday? Explain. If her fuel tank is not empty again, what single action could have been changed so that it is empty again? Explain. 11. Use the number line below. Think of a number and its opposite. Find and show the sum using the number line. 14. Becky adds ________________________________________ 12. Think of a situation in which two opposite quantities combine to make 0. a. What is the first action? ________________________________________ ________________________________________ ________________________________________ ________________________________________ b. What is the second action? ________________________________________ ________________________________________ ________________________________________ ________________________________________ c. Explain why the actions from parts a and b combine to make 0. ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. Grade 7 2 Common Core Assessment Readiness Name _______________________________________ Date __________________ Class __________________ 7.NS.1c SELECTED RESPONSE Select all correct answers. Select the correct answer. 4. Which of the following expressions give the distance between the endpoints of the segment shown on the number line below? 1. What is an equivalent expression for 2 4 - ? 3 5 2 4 + 3 5 2 æ 4ö + 3 çè 5 ÷ø - - 2 4 + 3 5 2 æ 4ö + 3 çè 5 ÷ø 2. How does the expression |9 (5)| relate to the numbers 5 and 9 on the number line? - 3 æ 4ö - 5 çè 5 ÷ø - 3 4 5 5 - 3 4 5 5 3 4 5 5 4 æ 3ö - 5 çè 5 ÷ø The expression shows that 9 is greater than 5. The expression shows that 5 is to the left of 0 and 9 is to the right of 0 on the number line. Match each subtraction expression with an equivalent expression that uses the additive inverse. 4 8 4 æ 8ö + A ____ 5. - - ç - ÷ 3 5 3 è 5ø 4 æ 8ö B + 4 æ 8ö ____ 6. 3 çè 5 ÷ø - ç- ÷ 3 è 5ø 4 æ 8ö C - + ç- ÷ 4 8 3 è 5ø ____ 7. - 3 5 4 8 D - + 4 8 3 5 ____ 8. 3 5 The expression represents the sum of 5 and 9. The expression represents the distance between 5 and 9 on the number line. 3. Which of the following expressions results in the distance between 5 and 6 on a number line? |6 5| |6 (5)| |5| |6| CONSTRUCTED RESPONSE |5 6| 9. Is 10 5 equal to 10 (5)? Explain in terms of additive inverses. ________________________________________ ________________________________________ ________________________________________ Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. Grade 7 3 Common Core Assessment Readiness Name _______________________________________ Date __________________ Class __________________ 5 11 æ 2 ö - ç - ÷ is - . 2 6 è 3ø Identify the error that Emily made. Then correct Emily’s error and find the correct difference. Show your work. 10. Asher has two bottles of floor cleaner, each of which contains 2 cups when full. 3 One bottle contains cup and the other 8 1 bottle is full. He needs 1 cups of floor 4 cleaner. How many cups from the new bottle does Asher need? Show that the number of cups Asher needs from the second bottle is equal to the distance 3 1 between and 1 on the number line. 8 4 13. Emily thinks that - ________________________________________ ________________________________________ ________________________________________ ________________________________________ 14. ________________________________________ a. Write a word problem involving fractions about the distance between two friends’ houses that are in opposite directions from the library. ________________________________________ ________________________________________ 11. Cindy has a board that is 7 inches wide 1 and 23 inches long. She needs to use 4 the board to replace a shelf that is 7 15 inches long. Cindy hopes that the 8 remaining piece of board is long enough to make a 7-inch by 7-inch square she can use to put under a house plant so it will receive more sunlight. How long is the remaining piece of board? Is it long enough? Show your work. ________________________________________ ________________________________________ b. Answer your question by assigning two numbers with opposite signs and using a number line to show the distance between the houses relative to the library. ________________________________________ ________________________________________ c. Find the absolute value of the difference between the two numbers that represent the locations of the friends’ houses relative to the library. ________________________________________ 12. Tony currently has a balance of $10.48 in his checking account. His bank requires him to maintain a minimum balance of $20. How much does Tony need to deposit into his checking account to reach the minimum balance? If his bank charges a $14.99 fee if his account is below the minimum balance, how much does he need to deposit to reach the minimum balance? ________________________________________ d. Explain why the distance between the two points on the number line from part b is equal to the absolute value of the difference from part c. ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. Grade 7 4 Common Core Assessment Readiness Name _______________________________________ Date __________________ Class __________________ 7.NS.1d SELECTED RESPONSE Select all correct responses. Select the correct answer. 3. Which properties are used to simplify 2 2 æ2 2ö 7 7 without first - + ç + ÷ - + as 3 9 è9 3ø 4 4 æ 5 1ö 5 1. What property allows ç - + ÷ + to be è 6 3ø 3 5 simplified to - + 2 ? 6 finding a common denominator? Additive inverse property Commutative property of multiplication Additive identity property Commutative property of addition Associative property of addition Associative property of addition Commutative property of addition Multiplicative inverse property Additive inverse property 2. Which of the following uses the additive inverse property correctly to simplify the expression? Additive identity property 4. Which of the following demonstrates using the associative property of addition to simplify? 14 7 7 14 - + = 19 3 3 19 - 10 11 æ 11ö 10 - + ç- ÷ = 9 4 è 4ø 9 (13.36 2.17) 7.83 13.36 10 9 (1.4 14.3) 15.7 9 1.4 30 21.36 15.32 1.36 20 15.32 2 5 3 5 + + = 1+ 5 4 5 4 15.81+ (4.19 + 10.67) = 20 + 10.67 [12.3 (24.6)] 15.4 12.3 (40) 10.14 10.14 28.93 28.93 Select the correct answer for each lettered part. 5. Determine the property of addition used to arrive at each expression 4 æ 5ö æ 4ö æ5 7ö in the process of simplifying + ç - ÷ + ç - ÷ + ç + ÷ . 5 è 3ø è 5ø è3 4ø a. 4 æ 4ö æ 5ö æ5 7ö + + + + 5 çè 5 ÷ø çè 3 ÷ø çè 3 4 ÷ø Commutative Associative Additive inverse Additive identity b. æ 5ö æ5 7ö 0 + ç- ÷ + ç + ÷ è 3ø è3 4ø Commutative Associative Additive inverse Additive identity c. - 5 æ5 7ö + + 3 çè 3 4 ÷ø Commutative Associative Additive inverse Additive identity d. æ 5 5ö 7 ç- 3 + 3÷ + 4 è ø Commutative Associative Additive inverse Additive identity e. 0+ Commutative Associative Additive inverse Additive identity f. 7 4 Commutative Associative Additive inverse Additive identity 7 4 Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. Grade 7 5 Common Core Assessment Readiness Name _______________________________________ Date __________________ Class __________________ 10. Jamal thinks that he needs to use only the associative property of addition and the additive inverse property to simplify 9 æ9 2ö 5 2 - + ç + ÷ + - to one term without 4 è4 5ø 6 5 using common denominators. Is he correct? Explain. CONSTRUCTED RESPONSE 6. Explain how the properties of addition are 3 4 æ 5ö æ 4ö used to simplify - + + ç - ÷ + ç - ÷ . 2 3 è 2ø è 3ø Find the value of the expression. ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ 11. Write an expression with all fractional terms that applies four properties of addition to simplify the expression to one term. Show your work and explain how your expression simplifies. 7. The outdoor temperature was 7.1 C. The temperature rose 5.4 C, and then rose another 7.1 C. An expression for this situation is 7.1 5.4 7.1. Use the properties of addition to find the final temperature. ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ 5 æ4 5ö 8 5 + + + - without 3 çè 3 2 ÷ø 3 2 having to find common denominators. Show your work. 1 cups of beans in a jar. 4 3 She takes out 4 cups of beans for a 4 recipe. When making the dish, she decides to cut down on the beans used 1 and returns 1 cups of beans to the jar. 4 3 Then Margie adds another 4 cups of 4 beans from a bag to the jar. 8. Simplify - 12. Margie has 5 ________________________________________ ________________________________________ ________________________________________ 9. What is the minimum number of denominators that need to be used to find a common denominator to completely 1 5 6 æ2 6ö 4 5 simplify - + + ç - ÷ + + ? 2 4 5 è3 7ø 7 4 Explain your answer using the properties of operations. a. Write an expression that models this situation. ________________________________________ b. How many beans are in the jar after Margie refills the jar? Show how you used the properties of addition to find this value. ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. Grade 7 18 Common Core Assessment Readiness Name _______________________________________ Date __________________ Class __________________ 7.NS.2a, 7.NS.2b SELECTED RESPONSE Select all correct answers. Select the correct answer. 5. Which of the following equations use the distributive property correctly to multiply rational numbers? 1. A stock lost $2.25 of its value each day for 5 consecutive days. What is an interpretation of the product $2.25 5? æ 1ö æ 1ö 3 ç -4 ÷ = 3(-4) + 3 ç ÷ è 2ø è 2ø The stock lost $0.45 per day. The stock lost $7.25 over 5 days. 1æ 3ö 1æ 3ö 2 ç 1 ÷ = 2(1) + ç ÷ 4 è 4ø 4 è 4ø The stock lost $11.25 over 5 days. The stock lost $11.25 per day. æ 1ö æ 1ö -4 ç -5 ÷ = -4(-5) + (-4) ç - ÷ è 3ø è 3ø 2. Which of the following products is negative? 6 1 1 •4 2 4 æ 4ö -3 ç -2 ÷ è 5ø æ 1ö æ 1ö çè -5 2 ÷ø çè - 4 ÷ø æ 4ö 4 -2 ç 2 ÷ = -2(2) + 5 è 5ø 3 5 -3 ´ 4 6 æ 4 ö æ 1ö 4 æ 1ö 4 -4 ç 1 ÷ = -4 (1) + ç -4 ÷ ç ÷ 5 è 3ø 5 è 5ø è 3ø 6. Which of the following fractions are 15 equivalent to - ? 4 3. Which of the following is always the result of dividing an integer by an integer when the divisor is nonzero? Integer Whole number Rational number 0 4. Kelsey’s bank charged her $17.50 for using her debit card at ATMs that are not owned by her bank 7 times in the last month. What is the interpretation of the -$17.50 quotient = -$2.50? 7 Kelsey’s bank loses $2.50 each time Kelsey uses her debit card at an ATM that is not owned by her bank. -15 4 15 4 -15 -4 -4 15 15 -4 4 -15 CONSTRUCTED RESPONSE 7. Victoria needs sugar for a certain recipe. 2 The original recipe calls for cup sugar. 3 However, Victoria wants to make a recipe 1 that is 3 times larger. Use the 2 distributive property to find the product. Kelsey is charged $2.50 each time she uses her debit card at an ATM that is not owned by her bank. ________________________________________ Kelsey earns $2.50 each time she uses her debit card at an ATM that is not owned by her bank. ________________________________________ ________________________________________ Kelsey is charged $17.50 each time she uses her debit card at an ATM that is not owned by her bank. ________________________________________ Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. Grade 7 19 Common Core Assessment Readiness Name _______________________________________ Date __________________ Class __________________ 1 cups of water are needed 2 for every cup of rice and you need to 1 cook 2 cups of rice. What is the value 2 and the interpretation of the product 1 1 1 ´2 ? 2 2 12. Use the distributive property, the fact that a mixed number can be rewritten as the sum of an integer and a fraction, and the fact that a (1)a for parts a and b. 8. Suppose 1 a. Pick a negative integer and a positive mixed number. Find the sign of their product. ________________________________________ ________________________________________ b. Use the negative integer and the opposite of the mixed number from part a to find the sign of their product. ________________________________________ 1 cups of 2 3 cat food remaining. Her cat eats cup of 4 cat food per day. What is the value and 1 3 the interpretation of the quotient 2 ¸ ? 2 4 9. Kendall realizes that she has 2 ________________________________________ c. How does the product from part b differ from the product from part a? Explain. ________________________________________ ________________________________________ ________________________________________ 13. ________________________________________ 10. Can 19 be divided by 6? Explain. a. Use what you know about the sum of an integer and its opposite to explain why 3[2 (2)] 0. ________________________________________ ________________________________________ ________________________________________ ________________________________________ b. Use the distributive property to express 3[2 (2)] in another way. Explain why it is reasonable to conclude that (3)(2) 6. ________________________________________ 5 5 is equal to 24 24 5 -5 5 because = = . 24 -24 24 a. Identify Gary’s error. Explain. 11. Gary thinks that - ________________________________________ ________________________________________ c. Suppose j and k are two positive integers. Generalize the work in parts a and b to justify why the product of the two negative integers j and k must be equal to the positive product jk. ________________________________________ ________________________________________ ________________________________________ b. Find two expressions that are 5 equivalent to - . Explain. 24 ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. Grade 7 20 Common Core Assessment Readiness Name _______________________________________ Date __________________ Class __________________ 7.NS.2c SELECTED RESPONSE Select all correct answers. Select the correct answer. 3. Which of the following properties can be used together to simplify the product 5 11 æ 4 ö 6 without having to - • • • 4 3 çè 5 ÷ø 11 multiply uncommon denominators? 2 7 15 1. Which property allows to be • • 5 3 2 7 simplified to 3 • ? 3 Multiplicative identity property Associative property of addition Multiplicative inverse property Associative property of multiplication Associative property of multiplication Commutative property of addition Commutative property of multiplication Commutative property of multiplication Multiplicative inverse property 2. Which of the following uses the multiplicative inverse property correctly to simplify the expression? Multiplicative identity property 4. Which of the following uses the commutative property of multiplication? 4 4 7 7 • • = 5 5 6 6 0.5 10.83 60 0.5 60 10.83 7 4 æ 10 ö 4 • • ç - ÷ = -2 • 5 3 è 7ø 3 0.25 (16.4 4.7) (0.25 16.4) 4.7 8 2 5 8 • • = •1 3 5 2 3 1.2 9.61 1.5 1.2 1.5 9.61 2.5 0.4 13.8 13.8 4 3 4 3 • 1• = • 9 8 9 8 15.5 (0.2 12.9) (15.5 0.2) 12.9 Select the correct answer for each lettered part. 5. Determine the property of multiplication that is used in each step to simplify æ 10 11ö 4 7 3 5 the expression ç • ÷ • • • • . 4 ø 11 5 5 7 è 3 a. 10 æ 11 4 ö 7 3 5 • • • • • 3 çè 4 11÷ø 5 5 7 Associative Commutative Inverse Identity b. 10 7 3 5 • 1• • • 3 5 5 7 Associative Commutative Inverse Identity c. 10 7 3 5 • • • 3 5 5 7 Associative Commutative Inverse Identity d. 10 7 5 3 • • • 3 5 7 5 Associative Commutative Inverse Identity e. 10 3 • 1• 3 5 Associative Commutative Inverse Identity Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. Grade 7 21 Common Core Assessment Readiness Name _______________________________________ Date __________________ Class __________________ f. 10 3 • 3 5 Associative Commutative Inverse Identity 10. Use the properties of multiplication to simplify the expression æ 4 15 ö 11 13 4 çè 5 • 11÷ø • 15 • 3 ¸ 5 . Show your work. CONSTRUCTED RESPONSE 6. Explain how the properties of multiplication are used to simplify 8 4 3 4 • • ¸ . Find the value of the 3 5 8 9 expression. ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ 7. What properties of multiplication can help 7 12 12 10 you to simplify • ¸ • ? 8 5 5 7 Explain. ________________________________________ ________________________________________ 11. Write an expression with all fractional terms that applies four properties of multiplication to simplify the expression to one term. Include at least one term being divided. Show your work and explain how your expression simplifies. ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ 8. James thinks that the commutative property of multiplication simplifies 4.8 (0.5 2.95) to 2.4 2.95. Is James correct? Explain your reasoning. ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ 9. Explain why 1 is the multiplicative identity and why 0 is not the multiplicative identity. Explain how the multiplicative 9 5 5 identity is used to simplify • ¸ . 4 14 14 ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. Grade 7 2 Common Core Assessment Readiness Name _______________________________________ Date __________________ Class __________________ 7.NS.2d 5. Which of the following is greater 34 than ? 8 SELECTED RESPONSE Select the correct answer. 8 to a decimal. 14 0.571428 1.75 1. Convert 0.571428 14 3 17 6 1.75 25 9 17 is a 27 repeating decimal. How many digits are in the repeating part of the decimal? 2. The decimal equivalent of 1 3 2 6 47 11 49 12 3. Suppose the repeating pattern in 0.020020200202002... continues forever. Is the number rational? Select the correct answer for each lettered part. 6. Determine whether the decimal equivalents of the following rational numbers are terminating or repeating. Yes, because the number is equivalent to the repeating decimal 0.02002. Yes, because the number is a terminating decimal. a. 7 20 Terminating Repeating No, because the number is not a terminating decimal. b. No, because the number is not a repeating decimal. 13 24 Terminating Repeating c. Select all correct answers. 3 11 Terminating Repeating 4. Which of the following rational numbers have three digits that repeat in its decimal equivalent? d. 27 150 Terminating Repeating 3 8 e. 10 21 11 12 Terminating Repeating 11 27 8 35 7 37 Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. Grade 7 3 Common Core Assessment Readiness Name _______________________________________ Date __________________ Class __________________ 10. Use long division to find the decimal 7 14 19 equivalents of , , and . Show 22 45 54 your work. Put the rational numbers in ascending order. Explain. CONSTRUCTED RESPONSE 7. Use long division to find the decimal 13 equivalent of . Show your work. Is the 16 decimal equivalent a terminating decimal or a repeating decimal? ________________________________________ ________________________________________ 8. Celia has a new cell phone that weighs 5 4 ounces. What is the weight of Celia’s 8 cell phone as a decimal? Use long division and show your work. 11. Todd found that the decimal equivalent of 13 is 0.583. However, he noticed that 24 7 the decimal equivalent of is also 12 0.583 from an earlier problem. Todd’s work is shown below. Which calculation is correct? Identify Todd’s error in the other calculation and determine the correct decimal equivalent of that rational number. ________________________________________ 9. At a cafe, one table, with 5 people, has a $19 bill. Another table, with 6 people, has a $23 bill. If each group decides to split the cost of the bill equally among the people at the table, which table has a greater cost per person? Use long division to justify your answer. 0.5833 24 13.0000 -11.0000 2.0000 -1.9200 800 -720 80 -72 8 ________________________________________ 0.5833 12 7.0000 -6.0000 1.0000 -9600 400 -360 40 -36 4 ________________________________________ ________________________________________ ________________________________________ Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. Grade 7 4 Common Core Assessment Readiness Name _______________________________________ Date __________________ Class __________________ 7.NS.3 5. In the morning, a group of hikers hiked 3 3 miles, took a break, and then hiked 4 3 another 2 miles. The group then 4 stopped for lunch. In the afternoon, the 3 group then hiked 4 miles, took another 4 1 break, and then hiked 2 miles. Which 2 of the following statements are true? SELECTED RESPONSE Select the correct answer. 1. How many times does 1 1 go into 1 ? 2 4 2 5 3 4 5 8 2 1 2 3 hours. She 4 3 has seven classes that are hour long. 4 How many hours is Tamela not in class while she is at school? 2. Tamela’s school day is 6 1 1 2 6 1 4 18 5 3 mile more in the 4 afternoon than in the morning. The hikers hiked 3 mile more in the 4 morning than in the afternoon. The hikers hiked The hikers hiked the same number of miles in the morning as in the afternoon. 3 4 3. Hez is making a bookcase. The boards that are used to make the bookcase are 13 inch thick. Hez found a board that is 16 1 1 inches thick. By how much does Hez 4 have to reduce the thickness of the new board to match the other boards? 7 inch 16 1 13 inch 16 2 The hikers hiked 12 entire day. The hikers hiked 13 Match the number with the equivalent expression. 15 1 3 ____ 6. 3 A 3 ¸ 16 2 4 3 3 2 B 4 ´ ____ 7. 4 4 4 3 3 7 C 5 -1 3 ____ 8. 1 8 16 4 1 7 3 D 5 -3 +2 3 2 8 4 ____ 9. 4 8 2 3 E 2 -1 8 8 1 1 1 F 10 - 2 ´ 3 2 2 2 1 inches 16 Select all correct answers. 4. Which of the following expressions have a result that is greater than 5? 3 4 1 2 + ¸ 8 5 3 3 2 1 ¸ 4 7 - 3 miles the 4 entire day. 1 inches 64 1 3 2 3 + 2 -1 5 5 5 1 miles the 2 3 1 4 + 3 ´1 4 4 5 1 1 5 12 ´ + 2 5 6 Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. Grade 7 5 Common Core Assessment Readiness Name _______________________________________ Date __________________ Class __________________ 14. A science experiment has a catapult launch a ball. The result of the experiment is shown in the table. Attempt Distance 1 50.7 m 2 49.4 m 3 52.3 m 4 48.9 m 5 51.6 m CONSTRUCTED RESPONSE 10. Courtney adds 2 dimes, 3 quarters, and 6 nickels into a money jar. Courtney then takes out 2 quarters and 5 dimes the next day. Write an expression that shows how the overall amount of money in the jar increased or decreased. Then simplify the expression. a. What is the average distance of the 5 attempts? Show your work. ________________________________________ ________________________________________ ________________________________________ 11. A factory makes sheet metal. If each 3 sheet is inch thick, how tall is the 16 stack if there are 14 sheets? Show your work. ________________________________________ b. How far does the ball have to travel on the sixth attempt so that the average of all 6 of the attempts is 50.9 meters? Explain. ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ 1 1 3 + 10 ¸ 3 . His 4 2 4 work is shown. Identify Peter’s error and find the correct value. Show your work. 15. Peter is evaluating 4 1 12. A picture frame provides 14 inches of 2 space for a row of photos and each photo 1 is 3 inches wide. How many photos 4 can fit in the picture frame? Show your work. Explain why the number of photos that can fit in the frame is different than the exact answer from your calculations. 4 ________________________________________ ________________________________________ ________________________________________ 3 ounce. 16 If a collection of these bolts weighs 3 6 pounds, how many bolts are in the 4 collection? Explain. 13. A type of bolt weighs about 1 1 3 17 21 15 + 10 ¸ 3 = + ¸ 4 2 4 4 2 4 17 42 15 = + ¸ 4 4 4 59 15 = ¸ 4 4 59 4 = ´ 4 15 59 = 15 14 =3 15 ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. Grade 7 14 Common Core Assessment Readiness
