1. Note: Many problems in this packet will be completed together in class during review time. Students are not expected to complete every single problem in the packet. They should complete several problems from each page-- in addition to studying the notes and past quizzes– in order to be fully prepared for test. Topics: Absolute Value Ordering/Comparing Integer Numbers Adding Integers Subtracting Integers Multiplying Integers Dividing Integers Modeling Add., Subt., Mult., & Div. Integers w/ Algebra Tiles & Number Lines Integer Word Problems Name:____________________________________________________________________________________Date:_____/_____/__________ Study guide/ practice Unit 2 Test, “Integers” On the back of this cover page is the Unit 2 “Quick Guide” – for your reference.

2. Number Line Addition Model: Adding Integers: SAME SIGNS DIFFERENT SIGNS ADDSUBTRACT 3 + 4 = 7 -3 + -4 = -7 KEEP SIGN OF LARGER ABSOLUTE VALUE!! -3 + 4 = 1 3 + -4 = -1 KEEP SIGN!! Unit 2, “Integers,” Quick Guide Absolute Value is ALWAYS positive!! It measures the distance from zero on a number line. I -3 I = 3 I 3 I = 3 Both have the SAME absolute value! Subtracting Integers: KCC 4 + -7 = -3 4 - 7 = ___ Multiplying/Dividing Integers: + + - - + - - + Pos. x Pos. = Pos. Neg. x Neg. = Pos. Pos. x Neg. = Neg. Neg. x Pos. = Neg. Addition Model: MATH ROCKS!!! You CAN DO IT!!! NEVER give up!!

3. Absolute Value: 1.Absolute value measures DISTANCE from __________________________ on a number line. Because it measures distance, absolute value is always _______________________. Use the given number lines in order to model the below problems: 2.│ -5 │ = _________ 3.│ 3.5 │ = __________ Evaluate: Compare/order integers: Place a “greater-than” (>) or “less-than” (<) sign in the following blanks: Order the following numbers in ascending order (least to great): 14. 4. │ ½ │ = 5. │ -4.2 │ =6. │-8 + 3 │ =7. -│ -28 │ = 8. │-5 │ + │3 - 5│= 9. -│ 15 │=10. │ 0 │ =11. -│8 │+ 2 = 12. -5 _____ -5 ½ 13. -3 / 4 _____ -1/ 2 14. 0 _____ -115. │ -7 │ _____ -6 -3.25-5.53-5-3 3 / 4 -60-4

4. modeling: Model the below problems on the given number lines: 1. -3 + 4 = _____ 2. -3 + (-5) = _____ 3. 7 + (-3) = _____ 4. -5 + 4 = _____ Model the below problems on the given integer mats using algebra tiles: Rules: 8. 9. Add: 5. -3 + -2 = _____6. -6 + 2 = _____7. 7 + (-5) = _____ SAME SIGNS 4 + 3 = 7 -4 + -3 = -7 4 + -3 = 1 -4 + 3 = -1 KEY: Positive: + Negative: - 10. 3 + 35 =11. -24 + (-28) =12. -50 + 5 =13. 43 + (-4) = 14. -8 + (-18) =15. 11 + (-10) =16. -3.5 + 0.5 =17. -25 + (-25) = Fill in missing information: KEEP SIGN DIFFERENT SIGNS SUBTRACT 18.What is the addition sentence for the model? ___ + ___ = ___

5. modeling: Model the below problems on the given number lines: 1. 6 - 8 = _____ 2. -3 - 5 = _____ 3. 2 - (-3) = _____ 4. -8 – (-1) = _____ Model the below problems on the given integer mats using algebra tiles: Rules: Fill-in-the-blank: 8.All subtraction problems can be re-written as ______________________________ problems because all subtraction can be defined as addition of the _____________________________. Subtract (Use “KCC” to re-write problems FIRST): 5. -2 –( -1) = _____6. -3 - 2 = _____7. 7 - (-3) = _____ KEY: Positive: + Negative: - 9. -24 - (-2) =10. -50 - 5 =11. 9 - 11 = 12. -5 - 8 =13. -300 – (-100) =14. 90 – (-10) = 15. 40 - 25 =16. 12.25 – 5.25 =17. 5.8 – 9.6 =

6. modeling: Model the below problems on the given number lines: 1. 2(-5) = _____ 2. 3(3) = _____ Model the below problems using integer chips/ tiles: 3.3(-4) = _____ 4.-12 ÷ 6 = _____ Short Answer: 5.List BOTH the multiplication AND the division problem that the below model represents: _____ x _____ = _____ _____ ÷_____ = _____ Rules: 6.7. - - - - -- KEY: Positive: + Negative: - ______________ ANSWER DIFFERENT SIGNS ______________ ANSWER SAME SIGNS 8. 4(9) =9. -20(5) =10. -9(-8) =11. 7(-5)= 12. 42 / 6 =13. -56 / -7 =14. -100 / 5 =15. 90 / -10 = 16.Write the multiplication sentence for the model: ___ x ___ = ___

7. 1.__________ A bird is perched in a tree 20 ft. above the ground. He takes off and ascends 15 feet, descends 10 ft., and ascends another 25 ft. What altitude is the bird at now? A. 70 ft.B. 30 ft.C. 50 ft. D. 40 ft. 2.__________ Jake has $550 in his checking account when he sits down to do his bills. He has a cell phone bill for $225, an electric bill for $80, and a cable bill for $200. He also receives a paycheck for $200. He would like to take a weekend trip that will cost $250. Does he have enough money? A. YesB. No 3.__________The temperature on Friday night was 15°F. By Saturday night it was -3°F. What is the difference between the temperature on Friday and the temperature on Saturday? A. 12° B. -12°C. 18°D. -18° 4.__________The temperature was 24°F at 10 a.m. one snowy morning. By 10 p.m., the temperature had dropped 30°. What was the temperature at 10 p.m.? A. 6°B. 54°C. 30°D. -6° 5.__________At Sunday’s game, the Redskins gained 10 yards, lost 5 yards, and gained 15 yards. What was their final yardage? A. 20 yds.B. -20 yds.C. 30 yds.D. -30 yds. 6.__________Bob draws the following integer chips onto the board in order to represent 8(-5) = -40. What division problem does it also model? A. 40 ÷ -5 = 8C. 40 ÷ -8 = -5 B. -40 ÷ 8 = -5D. -40 ÷ -8 = -5

8. 7._______ Only one of the following calculations gives you a different result from the others. Which is it? A. 54 + (-25)C. 25 - 54 B. 54 – 25D. -25 + 54 8.________ Which of the following addition sentences best represents the given model? A. -7 + 7 = 0 C. -7 + 12 = 5 B. -7 + 5 = 0 D. 5 – 12 = -7 9.________ Which of the following addition sentences best represents the given model? A. 60 + (-100) = -40C. -40 + 100 = 60 B. -40 + 60 = 100D. 60 – 40 = 100 10._______Complete the following number sentence: 45 – 50 = A. 50 – 45C. -45 + (-50) B. 45 + 50D. 45 + (-50) 11._______ Without doing any calculations, which of the following problems will result in a positive answer? A. -50 + 40C. 100 + (-99) B. -10 + 5D. -40 + (-30) 12.Circle ALL of the numbers that would make the answer to the following problem NEGATIVE: -9 + ? = ___ 109-101287