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Math 7 Unit 6 Worksheet Name: A. What integers do the following represent? 1. +3 2. +3 3. -4 B. Draw integer tiles to model the following numbers in two different ways. 1. -5 2. 3 3. -6 4. 4 Page 1 of 5 Math 7 Unit 6 Worksheet C. What addition equation does each set of tiles represent? Example (-4) + (+2) = -2 + = 1. (+3) + (-3) = 0 + = 2. (-2) + (+5) = +3 + = 3. (+1) + (-3) = -2 + = D. Draw red and yellow tiles to model each addition question. Find the sum. 1. (-5) + (+1) = _-4_ + 2. (+5) + (-7) = _-2_ + 3. (-1) + (+6) = _+5_ 4. (-3) + (+8) = _+5_ + + E. Use a number line to represent the expressions. Find the sum. Each number line should include 2 arrows – one for each number. Check the lesson to see how integers are represented on the number line with arrows. 1. (+1) + (+4) = _5__ 2. (-1) + (-1) = _-2__ 3. (+3) + (-4) = _-1__ 4 (-5) + (+3) = _-2__ Page 2 of 5 Math 7 Unit 6 Worksheet F. Solve the following: 1. (-4) + (+7) = +3 2. (+2) + (-6) =-4 3. (+9) + (-8) =+1 4. (-1) + (+6) =+5 5. (-3) + (-3) =-6 G. Write the opposite integer of each of the following: 1. -2 2 2. 5 -5 3. -6 +6 4. -11 +11 5. 145 -145 H. Which subtraction question does this set of tiles represent? 1. Answer:____(-3) – (+2) = -5 _____________ 2. Answer:______(+2) – (-1) = +3________ Page 3 of 5 Math 7 Unit 6 Worksheet I. Solve each of the following questions: 1. (+9) - (-8) = +17 2. (+3) - (+7) = -4 3. (-2) - (+6)= -8 4. (-3) - (-4) = +1 5. (+1) - (-4) = +5 J. Find the missing number 1. (-4) + (_+7 ) = +3 2. (-6) - (_-1) = -5 3. (_+2) - (-2) = 4 4. (_-5) + (+3) = -2 Page 4 of 5 Math 7 Unit 6 Worksheet K. Problem solving - be sure to write the equation to reflect the information in the question. Example: Barb was on the 5th floor and took the elevator down 3 floors. What floor did she get off on? Write this as an addition equation. Answer: 5 + -3 = 2 1. Shane got $10 for his allowance and spent $3. Write an addition equation to represent this situation. (+10) + (-3) = +7 2. The temperature in the morning was -3 C and rose by 8 C during the day. Write an addition equation to represent this situation. (-3) + (+8) = +5 3. The hot air balloon started at 40 m and descended 10 m. Write a subtraction equation to represent this situation. (+40) – (+10) = +30 4. Anna paid Justin $8 she owed him then bought a book for $5. Write a subtraction equation to represent Anna’s situation. (-8) – (+5) = -13 5. The morning temperature was -9 and the afternoon temperature was +5. What was the overall change in the temperature? If you need to, draw a model of a thermometer. (+5) – (-9) = +14 6. In golf, par is the number of shots a player should make on the course. If par is 72 and the player shoots 71, they are 1 under par or -1. If they shoot 75 they are three over par or +3. On Friday, Brandice shot +2 and Glenda shot -3. What is the difference in their golf scores? If you need to, use a number line to determine the answer. (+2) - (-3) = +5 7. Create your own word problem that involves integer subtraction. Various Answers: A. 1)+3 3)-4 C. 1) (+3) + (-3) = 0 3)(+1) + (-3) = -2 D. 1) -4 3) +5 E. 1) 5 3)-2 F. 1) +3 3) +1 5) -6 G. 1) +2 3) +6 5) -145 H. (-3) – (+2) = (-5) 3) (-1) – (-3) = +2 I. 1)+17 3) -8 5)+5 J. 1) +7 3)+2 K. 1) (+10) + (-3) = +7 3) (+40) – (+10) = +30 5) (+5) – (-9) = +14 7) various answers but must show subtraction Page 5 of 5