Adding and Subtracting Integers QUIZ REVIEW
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1 Adding and Subtracting Integers QUIZ REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the sum of. a. c. b. d. 2. Find the difference:. a. 3 c. 5 b. 11 d Use a number line to find the difference a. 9 c. 3 b. 3 d At 6 A.M. the temperature was C. In the afternoon, the temperature was 10 C. What was the change of temperature during the day? a. C c. 10 C b. C d. 15 C 5. Find the difference. a. 11 c. b. d Write the addition modeled on the number line. + ( 3) a. 2 + ( 3) = 5 c. 5 + ( 3) = 2 b. 0 + ( 3) = 5 d. 3 + ( 5) = 0 7. Find the sum of a. 9 c. 3 b. 3 d Evaluate 4 w for w = 7. a. 3 c. 11 b. 11 d. 3 1
2 9. One winter day, the temperature ranged from a high of 40 F to a low of 5 F. By how many degrees did the temperature change? a. 45 F c. 25 F b. 35 F d. 55 F 10. Luis says and are the same number. Danny says and are different numbers. Mai says and both equal 0. Akiko says and combine to make 0. Who is correct? a. Luis c. Mai b. Danny d. Akiko 11. Lines of latitude are imaginary lines that circle the globe in an east-west direction. They measure distances north and south of the equator. The equator represents latitude. What latitude is opposite of north latitude? a. south c. south b. south d. north 12. A submarine descends to a depth of 480 meters below sea level. Write an integer to represent this situation. Then find the additive inverse of the integer, and tell what it represents. a. Integer: +480 c. Integer: 480 Additive Inverse: 480 Additive Inverse: +480 distance, in meters, that the submarine distance, in meters, that the submarine would need to rise to return to sea level. would need to rise to return to sea level. b. Integer: 480 Additive Inverse: +480 distance, in meters, that the submarine would need to descend to return to sea level. d. Integer: +480 Additive Inverse: 480 distance, in meters, that the submarine would need to descend to return to sea level. 13. An investment lost $975. Write an integer to represent this situation. Then find the additive inverse of the integer, and tell what it represents. a. Integer: 975 c. Integer: +975 Additive Inverse: +975 Additive Inverse: 975 amount, in dollars, that the investment amount, in dollars, that the investment would have to earn to return to its starting would have to earn to return to its starting value. value. b. Integer: 975 Additive Inverse: +975 amount, in dollars, that the investment would have to lose to return to its starting value. d. Integer: +975 Additive Inverse: 975 amount, in dollars, that the investment would have to lose to return to its starting value. 14. Ahmad had a balance of $46 in his checking account. He made a deposit of $56, and wrote checks for $17 and $30. His bank charged him a $3 service fee. How much money does Ahmad have in the account? a. $146 c. $58 b. $52 d. $ Find the opposite of. a. c. 8
3 b. d Find the difference. a. c. b. d Which property is represented? a. Associative Property of Addition c. Associative Property of Multiplication b. Commutative Property of Addition d. Commutative Property of Multiplication is an example of which property? a. Identity Property c. Associative Property b. Distributive Property d. Commutative Property is an example of which property? a. Commutative Property c. Associative Property b. Identity Property d. Distributive Property 20. Which of the following situations involve opposite quantities combining to make 0? a. Stella has a new piggy bank. She adds 3 quarters on Tuesday, and then adds another 3 quarters on Thursday. b. Devon opens a new checking account with $30. His first purchase, made with his new debit card, totals $28. c. Joe makes liters of lemonade and drinks it all during the afternoon. d. 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. 21. Does the following situation describe opposite quantities combining to make zero? Explain. Tanya makes 2 cups of cleaning solution and puts it into a spray bottle. She uses all the solution to clean her house. a. Yes, because the amount of cleaning solution in the bottle after Tanya uses the solution is not the same as before Tanya makes the solution. b. Yes, because the amount of cleaning solution in the bottle after Tanya uses the solution is the same as before Tanya makes the solution. c. No, because the amount of cleaning solution in the bottle after Tanya uses the solution is more than before Tanya makes the solution. d. No, because the amount of cleaning solution in the bottle after Tanya uses the solution is less than before Tanya makes the solution. 22. What is the location of the sum with respect to 11 on a number line? a. 5 units in the negative direction b. 5 units in the positive direction c. 11 units in the negative direction d. 11 units in the positive direction 23. Which of the following expressions results in the distance between and on a number line?
4 a. b. c. d. Numeric Response 1. Evaluate the expression for,, and. 2. For any real number has what value? 3. Simplify the expression. Show your work. Short Answer 1. The cheerleaders held a car wash to raise money for new uniforms. They spent $12 on soap and $19 on sponges, rags, and a bucket. It rained the day of the car wash, so the cheerleaders only made $25. Write an integer expression that shows their profit or loss. Simplify the expression and explain what the amount means.
5 Adding and Subtracting Integers QUIZ REVIEW Answer Section MULTIPLE CHOICE 1. ANS: B 1= PTS: 1 NAT: NT.CCSS.MTH NS.1 2. ANS: A 3= PTS: 1 NAT: NT.CCSS.MTH NS.1 3. ANS: C PTS: 1 REF: 94d9dd dd-8a f11039 OBJ: Modeling Integer Subtraction NAT: NT.CCSS.MTH NS.1 NT.CCSS.MTH NS.1.c TOP: Subtracting Integers KEY: integer subtraction 4. ANS: D PTS: 1 NAT: NT.CCSS.MTH NS.1 5. ANS: D PTS: 1 NAT: NT.CCSS.MTH NS.1 6. ANS: A PTS: 1 REF: b dd-8a f11039 OBJ: Writing Integer Addition NAT: NT.CCSS.MTH NS.1 NT.CCSS.MTH NS.1.b TOP: Adding Integers KEY: integer addition DOK: DOK 2 7. ANS: C PTS: 1 REF: 93494f dd-8a f11039 OBJ: Adding Integers NAT: NT.CCSS.MTH NS.1 NT.CCSS.MTH NS.1.b TOP: Adding Integers KEY: integer addition DOK: DOK 2 8. ANS: A PTS: 1 REF: 9aae8e dd-8a f11039 OBJ: Evaluating Expressions with Integers NAT: NT.CCSS.MTH NS.1 NT.CCSS.MTH NS.1.c NT.CCSS.MTH NS.3 TOP: Subtracting Integers KEY: expressions integer evaluate subtraction 9. ANS: A PTS: 1 REF: 9ab32be dd-8a f11039 OBJ: Application NAT: NT.CCSS.MTH NS.1 NT.CCSS.MTH NS.1.c NT.CCSS.MTH NS.3 TOP: Subtracting Integers KEY: expressions integer evaluate subtraction DOK: DOK ANS: A PTS: 1 NAT: NT.CCSS.MTH NS.1.a a KEY: opposite integer absolute value 11. ANS: C PTS: 1 NAT: NT.CCSS.MTH NS.1.a
6 a KEY: opposite integer 12. ANS: C PTS: 1 REF: 90e ab2-11e0-9c f0d2ea OBJ: Finding the Additive Inverse NAT: NT.CCSS.MTH NS.1.a NT.CCSS.MTH NS.1.b a TOP: Additive Inverse and Absolute Value KEY: integers additive inverse DOK: DOK ANS: A PTS: 1 REF: 90ebf77f-6ab2-11e0-9c f0d2ea OBJ: Finding the Additive Inverse NAT: NT.CCSS.MTH NS.1.a NT.CCSS.MTH NS.1.b a TOP: Additive Inverse and Absolute Value KEY: integers additive inverse DOK: DOK ANS: B a + b c d e = = 52 PTS: 1 NAT: NT.CCSS.MTH NS.1.b b DOK: DOK ANS: C PTS: 1 NAT: NT.CCSS.MTH NS.1.b b 16. ANS: A PTS: 1 NAT: NT.CCSS.MTH NS.1.c c 17. ANS: B PTS: 1 NAT: NT.CCSS.MTH NS.1.d d 18. ANS: C PTS: 1 NAT: NT.CCSS.MTH NS.1.d d 19. ANS: B PTS: 1 NAT: NT.CCSS.MTH NS.1.d d 20. ANS: C The opposite action of making the lemonade is drinking it. If Joe makes liters and then drinks liters, the opposites combine to 0. A B C D Feedback Stella adds 6 quarters into her piggy bank. Devon still has $2 in his checking account. That s correct! Brittany s novel has 4 fewer pages than what she started with. PTS: 1 NAT: NT.CCSS.MTH NS.1.a a KEY: zero opposite quantities 21. ANS: B Putting 2 cups of cleaning solution into a spray bottle and then using 2 cups are opposite actions. The amount of cleaning solution in the spray bottle after Tanya uses the solution is the same as before Tanya makes the solution. A B Feedback If the amount of cleaning solution in the bottle after Tanya uses the solution is not the same as before Tanya makes the solution, the quantities do not combine to make zero. That s correct!
7 C D The amount of cleaning solution after Tanya uses the solution is not more than before Tanya makes the solution. The amount of cleaning solution after Tanya uses the solution is not less than before Tanya makes the solution. PTS: 1 NAT: NT.CCSS.MTH NS.1.a a KEY: opposite quantities zero 22. ANS: A The sum is units away from 11. Since is negative, the sum is in the negative direction from 11. Feedback A That s correct! B The sum is not greater than 11. C The sum is not 11 units away from 11. D The sum is not 11 units away from 11. PTS: 1 NAT: NT.CCSS.MTH NS.1.b b KEY: adding integers locate the sum number line 23. ANS: B The distance between and 6 on a number line is 11. Feedback A The distance between and 6 on a number line is not 1. B That s correct! C The distance between and 6 on a number line is not. D The distance between and 6 on a number line is not 1. PTS: 1 NAT: NT.CCSS.MTH NS.1.c c KEY: subtracting numbers absolute value of difference NUMERIC RESPONSE 1. ANS: 9 PTS: 1 REF: 95159f dd-8a f11039 NAT: NT.CCSS.MTH NS.1 NT.CCSS.MTH NS.1.b TOP: Adding Integers 2. ANS: 0 PTS: 1 REF: MCT80122 NAT: NT.CCSS.MTH NS.1 NT.CCSS.MTH NS.1.b NT.CCSS.MTH NS.1.d TOP: Adding Integers
8 KEY: property distributive substitution equality transitive DOK: DOK 2 3. ANS: 20 Sample work: 20 PTS: 1 NAT: NT.CCSS.MTH NS.1.b b DOK: DOK 2 SHORT ANSWER 1. ANS: The cheerleaders lost $6 on their car wash. PTS: 1 NAT: NT.CCSS.MTH NS.1 DOK: DOK 3
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