Name: Date: / / Addition Rules (fill-in-the-missing information): 1-2) Add or Subtract (use KCC for subtraction): 3) -2 + -18 = 4) 15 + (-5) = 5) 2 22 = 6) -6 (-4) = Multiplication/ Division Rules (fill-in-the-missing information): 7-8) Answer is: Answer is: Multiply or Divide: 9) -2(50) = 10) -8(-6) = 11) 22 11 = 12) The temperature on Wednesday was 22 F. By Thursday morning, it was -4 F. What is the difference between these two temperatures?
Name: Date: / / 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 all 4 Operations with both Number Lines and Algebra Tiles Integer Word Problems Study Guide/ Practice Unit 2 Test, Integers On the back of this cover page is the Unit 2 Quick Guide for your reference.
Unit 2, Integers, Quick Guide Adding Integers: ADD SAME KEEP SIGN!! 3 + 4 = 7-3 + -4 = -7 DIFFERENT SUBTRACT KEEP SIGN OF LARGER ABSOLUTE VALUE!! -3 + 4 = 1 3 + -4 = -1 Multiplying/Dividing Integers: Subtracting Integers: KCC 4-7 = 4 + -7 = -3 Addition Model: You CAN DO IT!!! NEVER give up!! Number Line Addition Model: MATH ROCKS!!! Both have the SAME absolute value! Absolute Value is ALWAYS positive!! It measures the distance from zero on a number line. I -3 I = 3 I 3 I = 3
Absolute Value: 1. Absolute value measures DISTANCE from on a number line. Because it measures distance, absolute value is always. 2. Model the meaning of the following absolute value problem (think distance): -5 = 3. Which point(s) have the following absolute value: 15 5 Evaluate: 4. ½ = 5. -4.2 = 6. -8 + 3 = 7. - -28 = 8. 3-5 = 9. - 15 = 10. 0 = 11. - 8 + 2 = Compare/order integers: Place a greater-than (>) or less-than (<) sign in the following blanks: 12. -5-5 ½ 13. -3 / 4 0 14. 0-1 15. -7-6 Order the following numbers in ascending order (least to great): 16. -3.25-5.5 3-5 -3.9-6 0-4
modeling: Model the below problems on the given number lines (TWO-arrow method): 1. -3 + 4 = 2. -3 + (-5) = 3. 7 + (-3) = 4. -5 + 4 = Model the below problems on the given integer mats using algebra tiles: 5. -3 + -2 = 6. -6 + 2 = 7. 7 + (-5) = KEY: Positive: + Negative: - Fill in missing information: 8. SAME Rules: KEEP SIGN 4 + 3 = 7-4 + -3 = -7 9. Add: DIFFERENT SUBTRACT 4 + -3 = 1-4 + 3 = -1 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) = 18. What is the addition sentence for the model? + =
modeling: Model the below problems on the given number lines (use KCC first): 1. 6-8 = 2. -3-5 = 3. 2 - (-3) = 4. -8 (-1) = Model the below problems on the given integer mats using algebra tiles: 5. -2 ( -1) = 6. -3-2 = 7. -7 - (-3) = KEY: Positive: + Negative: - 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): 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 =
modeling: Model the below problems on the given number lines (positive # is GROUP #): 1. 2(-5) = 2. 3(3) = Model the below problems using integer chips/ tiles: 3. 3(-4) = KEY: Positive: + Negative: - 4. -12 6 = Short Answer: 5. Write BOTH the multiplication AND division sentence for the following model: - - - - - - x = = SAME ANSWER Rules: 6. 7. DIFFERENT ANSWER 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 BOTH the multiplication and division sentence for the model: x = =
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. Yes B. 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 = 8 C. 40-8 = -5 B. -40 8 = -5 D. -40-8 = -5
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 25 D. -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) = -40 C. -40 + 100 = 60 B. -40 + 60 = 100 D. 60 40 = 100 10. Complete the following number sentence: 45 50 = A. 50 45 C. -45 + (-50) B. 45 + 50 D. 45 + (-50) 11. Without doing any calculations, which of the following problems will result in a positive answer? A. -50 + 40 C. 100 + (-99) B. -10 + 5 D. -40 + (-30) 12. Circle ALL of the numbers that would make the answer to the following problem NEGATIVE: -9 +? = 10 9-10 12 8 7