Name: ________________________ Class: ___________________ Date: __________ ID: A Integers Unit Review Multiple Choice Identify the choice that best completes the statement or answers the question. ____ ____ 1. Sam has $89 to buy movie tickets. He buys 1 tickets online for $8 each. Tickets at the theatre are $11 each. How many tickets can he buy at the theatre? a. 4 b. 7 c. 8 d. 11 2. Calculate: (−98) ÷ (−14) a. b. c. d. ____ 3. Which number sentence best describes this scenario? Jodie and five friends together owe 12.00 dollars to Jodie’s brother. They agree to share the debt equally. What is each person’s share of the debt? a. b. c. d. ____ +7 +0.14 −0.14 −7 (−12.00) (+6) (−12.00) (+5) (+12.00) (+5) (+12.00) (+6) = (−2.00) = (−2.40) = (+2.40) = (+2.00) 4. Calculate: ÁÊË (+8) × (−8) ˜ˆ¯ + (+12) ÷ (+4) a. b. c. d. −61 −67 48 −48 1 Name: ________________________ ____ ID: A 5. This table shows the nightly low temperatures (0C) in Makkovik for a week in May. M ? T –5 W 5 Th –9 F –6 Sa –2 Su –7 If the average low temperature in Makkovik that week was −5 0 C , what was the low temperature in degrees Celsius on Monday night? a. b. c. d. –35 11 –5 –11 Short Answer 6. Use integer tiles OR a number line to model (− 3) × (− 4). Find the product. 7. Use a model of your choice to determine the value of +12 ÷ +4. 8. Patricia has an error in her solution below. Circle her error and provide a correct solution. (−3) × (+1) − (−3) + (+8) = (−3) − (−3) + (+8) = (−3) − (+5) = −8 2 ID: A Integers Unit Review Answer Section MULTIPLE CHOICE 1. ANS: B 1(8) +11t = 89 8 + 11t = 89 11t = 81 t = 7.363636363636 Feedback A B C D 4 tickets at $19 each Correct! 8 tickets at $11 each 11 tickets at $8 each PTS: 1 TOP: 2.2 2. ANS: A DIF: 2A MSC: Integers REF: CGp76 OBJ: N7 A negative divided by a negative makes a positive and therefore: (−84) ÷ (−12) = +7 Feedback A B C D Correct! Incorrect order of dividing. Incorrect order of dividing and wrong sign. Incorrect sign. PTS: 1 DIF: 2M TOP: 2.4 MSC: Integers 3. ANS: A Owing money is negative (−12.00) There are 6 people in total (+6) (−12.00) = (−2.00) Share the debt → (+6) REF: CG p.74-75 OBJ: N7 Feedback A B C D Correct! The total of people to divide by is (+6) not (+5). Money owed is negative and the total of people to divide by is (+6) not (+5). Money owed is negative, not positive. PTS: 1 TOP: 2.4 DIF: 2A MSC: Integers REF: CG p 74 1 OBJ: N7 ID: A 4. ANS: A Follow the Order of Operations ÊÁ (+8) × (−8) ˆ˜ + (+12) ÷ (+4) Complete the brackets Ë ¯ (−64) + (+12) ÷ (+4) (−64) + (+3) −61 Division before addition Add the numbers Feedback A B C D Correct! Added as though signs were the same Added instead of divided and subtracted as though result had the same sign. Completed addition instead of division. PTS: 1 DIF: 2A REF: CG p 78 OBJ: N7 TOP: 2.5 MSC: Integers 5. ANS: D If the average for 7 days is −5 0 C then the total for 7 days is (−5) × 7 = (−35) . The total of the 6 days given is (−5) + (5) + (−9) + (−6) + (−2) + (−7) = (−24) . To have a total of –35 then the temperature on Monday must have been –11. Feedback A B C D This is the sum necessary for the 7 days, not the temperature on the 7th day. (–24) + (11) = (–13) not (–35) This is the average temperature for all days, not necsesarily the temperature on Monday. Correct! PTS: 1 TOP: 2.5 DIF: 3 MSC: Integers REF: CG p 78 2 OBJ: N7 ID: A SHORT ANSWER 6. ANS: The Product Is: + 12 1) 3 Steps, Facing Negative End. 2) Each Step Is 4 Large, Walking Backwards. PTS: 2 TOP: 2.1 7. ANS: +12 ÷ +4 = +3 DIF: 2A MSC: Integers REF: CG p.56 PTS: 1 3 OBJ: N7 ID: A 8. ANS: (−3) × (+1) − (−3) + (+8) = (−3) − (−3) + (+8) ← The error starts to occur right here with the subtraction of (−3) + (+8) = (−3) − (+5) = −8 (−3) × (+1) − (−3) + (+8) (−3) − (−3) + (+8) ← Here the error is corected. (0) + (+8) 5 PTS: 2 TOP: 2.5 DIF: 3 MSC: Integers REF: CG p.78 4 OBJ: N7