Lesson: Adding Negative Numbers Practice Set: Make a positive sign from two negative signs Question 1: Simplify: 2 – (-5) = Question 2: Simplify: 3 – (-6) = Question 3: Simplify: 2 – (-4) = Question 4: Simplify: 4 – (-3) = Question 5: Simplify: 1 – (-3) = Practice Set: Add negative and positive numbers Part 1 Question 1: Add: 7 + (-3) = Question 2: Add: -8 + 4 = Question 3: Add: 4 + (-2) = Question 4: Add: -3 + 8 = Question 5: Add: -2 + 7 = Practice Set: Add negative and positive numbers Part 2 Question 1: Solve: 8+5= -8 − 5 = 8 + (-5) = -8 + 5 = Question 2: Solve: 10 + 5 = -10 − 5 = 10 + (-5) = -10 + 5 = Question 3: Solve: 7+3= -7 − 3 = 7 + (-3) = -7 + 3 = Question 4: Solve: 5+4= -5 − 4 = 5 + (-4) = -5 + 4 = Question 5: Solve: 12 + 8 = -12 − 8 = 12 + (-8) = -12 + 8 = Practice Set: Add negative and positive numbers Part 3 Question 1: Add: 130 + (-54) = Question 2: Add: 85 + (-125) = Question 3: Add: -31 + 79 = Question 4: Add: -152 + 70 = Question 5: Add: 46 + (-33) = Practice Set: Add two negative numbers Question 1: Simplify: -7 − 4 = Question 2: Simplify: -2 − 6 = Question 3: Simplify: -5 + (-3) = Question 4: Simplify: -8 − 3 = Question 5: Simplify: -5 − 3 = Practice Set: Add additive inverses Question 1: Evaluate: 9−9= Question 2: Evaluate: 4 + (-4) = Question 3: Evaluate: -3 + 3 = Question 4: Evaluate: -1 − (-1) = Question 5: Evaluate: -5 + 5 = Practice Set: Add negative numbers on a number line Question 1: Which is the correct number line for showing 8 + -9 = -1? Question 2: Which is the correct number line for showing -3 + 7 = 4? Question 3: Which is the correct number line for showing 2 + -4 = -2? Question 4: Which is the correct number line for showing 6 + -8 = -2? Question 5: Which is the correct number line for showing -3 + 6 = 3? Practice Set: Subtract negative numbers Question 1: Subtract: 15 − (-10) = Question 2: Subtract: -13 − (-30) = Question 3: Subtract: -54 − (-54) = Question 4: Subtract: 90 − (-14) = Question 5: Subtract: -67 − (-47) = Practice Set: Use negative numbers in word problems Part 1 Question 1: You dug a hole that was 6 feet deep. After taking a short break, you dug down 2 more feet in the same hole. When finished digging, a tractor accidentally filled the hole with 4 feet of dirt. How deep is your hole now? 4 feet below ground 6 feet above ground 6 feet below ground 4 feet above ground Question 2: You already owed your friend $5. This morning, you borrowed $4 more, and this afternoon you paid back $3. How much money do you owe your friend? Your friend now owes you $4. You owe $4. You owe $6. You owe $12. Your friend now owes you $6. Question 3: At your construction job, you're standing on a ladder at ground level. First, you climb down 7 feet to see the basement. Then you climb up 22 feet to see the second floor. Later, you climb down 9 feet. How high above or below the ground are you? 6 feet below the ground 9 feet below the ground 9 feet above the ground 6 feet above the ground 7 feet below the ground Question 4: When you looked at the thermometer last night, the temperature was 0° C. By morning, the temperature rose 10°. By afternoon, the temperature had risen another 5°. Throughout the night, the temperature dropped 20°. What is the temperature now? -5° C +35° C -15° C +5° C +10° C Question 5: A plane took a Navy Seal to a height of 10,000 feet above sea level. The Navy Seal jumped out of the plane and parachuted into the sea 10,000 feet down. Once in the sea, the Navy Seal dove 100 feet down before rising back up 25 feet. What is the Navy Seal's current depth? 75 feet below sea level 100 feet above sea level 75 feet above sea level 25 feet above sea level 100 feet below sea level Practice Set: Use negative numbers in word problems Part 2 Question 1: Blaine had $68 in his checking account. He tried buying a coat, but he could not make the purchase because the money in his account was $21 short of the price of the coat. How much did the coat cost? $ Question 2: John had $20. He earned $5, spent $10, earned $5 again, and then spent $3. After this series of earnings and expenses, how much money did he owe or have left? $ Question 3: A submarine was situated 760 feet below sea level. If it goes 320 feet up and then down 80 feet, what is the submarine's new position? ft Question 4: In Las Vegas, the hottest recorded temperature is 47˚C, and the lowest recorded temperature is -13˚C. What is the difference between the city's highest and lowest recorded temperatures? ˚C Question 5: Mt. McKinley, which is the highest elevation in North America, is 20,320 feet above sea level. Death Valley, which is the lowest elevation in North America, is 282 feet below sea level. What is the difference in height between the top of Mt. McKinley and the bottom of death valley? ft Lesson: Multiplying and Dividing Negative Numbers Practice Set: Multiply and divide positive and negative numbers Question 1: Solve: 15 ÷ (-9) x 1 x 6 = Question 2: Solve: 8×2= -8 ÷ 2 = 8 × (-2) = -8 × 2 = Question 3: Solve: -20 ÷ -2 × -3 × -4 = Question 4: Solve: 4×4= -4 ÷ 4 = 4 × (-4) = -4 × 4 = Question 5: Solve: 10 × 5 = -10 ÷ 5 = 10 × (-5) = -10 × 5 = Lesson: Problems with Four Operations Practice Set: Solve problems with four operations Question 1: A submarine went down 800 feet below sea level to Point A, then traveled up to Point B, which was 160 feet below sea level. Write the fraction that relates the distance traveled by the submarine from Point A to Point B to the depth of Point A? of the distance Question 2: Gina recently got a 10% raise on her salary. If Gina used to make $25 an hour, what is her new salary? $ per hour Question 3: You want to place a towel bar that is 10 1⁄4 inches long in the center of a door that is 26 1⁄3 inches wide. How far should you place the bar from each edge of the door? in Question 4: Yesterday morning at 8 a.m. the temperature was -14˚F. At noon it was 10 degrees warmer. The temperature increase between noon and and 4 p.m. was twice the temperature increase between 8 a.m. and noon. What was the temperature at 4 p.m? ˚F Question 5: The Roman Empire began in 27 B.C. and ended in 476 A.D. The Persian Empire lasted approximately 5/11 as long as the Roman Empire. Based on this approximation, if the Persian Empire began in 550 BC, in what year did it end? Round all years to the nearest whole number. B.C. Correct Answers Lesson: Adding Negative Numbers Practice Set: Make a positive sign from two negative signs Question 1: 7 Question 2: 9 Question 3: 6 Question 4: 7 Question 5: 4 Practice Set: Add negative and positive numbers Part 1 Question 1: 4 Question 2: -4 Question 3: 2 Question 4: 5 Question 5: 5 Practice Set: Add negative and positive numbers Part 2 Question 1: 13|-13|3|-3 Question 2: 15|-15|5|-5 Question 3: 10|-10|4|-4 Question 4: 9|-9|1|-1 Question 5: 20|-20|4|-4 Practice Set: Add negative and positive numbers Part 3 Question 1: 76 Question 2: -40 Question 3: 48 Question 4: -82 Question 5: 13 Practice Set: Add two negative numbers Question 1: -11 Question 2: -8 Question 3: -8 Question 4: -11 Question 5: -8 Practice Set: Add additive inverses Question 1: 0 Question 2: 0 Question 3: 0 Question 4: 0 Question 5: 0 Practice Set: Add negative numbers on a number line Question 1: MC1 Question 2: MC1 Question 3: MC1 Question 4: MC1 Question 5: MC1 Practice Set: Subtract negative numbers Question 1: 25 Question 2: 17 Question 3: 0 Question 4: 104 Question 5: -20 Practice Set: Use negative numbers in word problems Part 1 Question 1: MC1 Question 2: MC3 Question 3: MC4 Question 4: MC1 Question 5: MC1 Practice Set: Use negative numbers in word problems Part 2 Question 1: 89 Question 2: 17 Question 3: -520 Question 4: 60 Question 5: 20602 Lesson: Multiplying and Dividing Negative Numbers Practice Set: Multiply and divide positive and negative numbers Question 1: -10 Question 2: 16|-4|-16|-16 Question 3: 120 Question 4: 16|-1|-16|-16 Question 5: 50|-2|-50|-50 Lesson: Problems with Four Operations Practice Set: Solve problems with four operations Question 1: .8 Question 2: 27.5 Question 3: 8.0416 Question 4: 16 Question 5: 321