Revision Day 3 Math Practice Problems PDF

### **Page 1** 1. A ball falls from the ground into a pit that is 2.5 feet deep, and then bounces to a height of 2.5 feet above ground. Use the number line to complete the expression that represents the situation. -3 -2 -1 0 1 2 3 0 + (-2.5) = 2.5 Use a number line to add or subtract. 2. (-...

### **Page 1** 1. A ball falls from the ground into a pit that is 2.5 feet deep, and then bounces to a height of 2.5 feet above ground. Use the number line to complete the expression that represents the situation. -3 -2 -1 0 1 2 3 0 + (-2.5) = 2.5 Use a number line to add or subtract. 2. (-7.5) + (-2.5) = -10 -10 -9 -8 -7 -6 -5 3. 6/4 - 2/3 = 3 4 5 6 7 1. Luis has $80 in his checking account. He makes a deposit of $100, and then writes a check for $40. Then he uses his check card to buy a bicycle for $40 and makes a withdrawal of $70 at an ATM. Use the number line and complete the equation to find his final balance. 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 80 + 100 + (-40) + (-40) + (-70) = 30 Use a number line to add or subtract. 2. 3 - (-4) = 7 1 2 3 4 5 6 7 8 9 10 3. -7 + (-3) = -10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 ### **Page 2** Use the number line. Solve. Draw to show what you did. 1. Erin buys a used boat for $1,200. She had an unused fishing reel that she gave to the seller who gave her a discount of $100. She also purchased a used motor for the boat for $400. How much did Erin pay for her boat and its motor? + 1000 1100 1200 1300 1400 1500 1600 1700 1800 1900 2000 1200 + (-100) + 400= 1500 2. Russell deposited $200 to open a new bank account before he paid $250 for his portion of the rent. His bank charged him a $50 overdraft fee. Then he deposited his paycheck of $400. How much money is in Russell's account now? + -200-150-100-50 0 50 100 150 200 250 300 200 + (-250) + (-50) + 400 = 300 Solve. 1. The greatest temperature ever recorded in the United States occurred at an elevation of 178 feet below sea level. The greatest temperature ever recorded in Africa occurred at an elevation of 545 feet greater than in the United States. At what elevation, in feet, did the greatest temperature in Africa occur? 178 + 545 = 723 Find each sum. 2. -18 + 12 = -6 3. 37 + (-64) = -27 4. -26 + (-19) = -45 ### **Page 3** Solve. 1. A diver is at an elevation of 18 feet below sea level. He descends another 16 feet. Write and evaluate a subtraction expression to determine the new position of the diver. -18 - 16= -34 2. The high temperature was 6 °C and the low temperature was -8 °C on Monday. Write and evaluate a subtraction expression to determine the difference between the high and low temperature. 6 - (-8) = 14 Write each subtraction expression as an equivalent addition expression and evaluate it. 3. -21 - (-14) = -21 + 14 = -7 4. -15 - (-27) = -15 + 27 = 12 5. 19 - 32 = 19 + (-32) = -13 6. -28 - 16 = -28 + (-16) = -44 Solve. 1. Nora jogs 4 1/2 miles on Monday. She jogs 1 1/2 miles fewer on Tuesday. Write and evaluate an addition expression to find how many miles Nora jogs on Tuesday. 4 1/2 + (- 1 1/2) = 3 2. The shallow end of a swimming pool is 3.75 feet below the pool's surface. The deep end of the pool is 5.75 feet deeper. Write and evaluate a subtraction expression to find the depth of the deep end of the swimming pool. -3.75 - 5.75 = -9.5 3. Alex bought a T-shirt for $24.25. This week, the T-shirt costs $5.95 less. Write and evaluate an addition expression to find the this week's cost of the T-shirt. 24.25 + (-5.95) = 18.3 Evaluate the expression. 3 4. 5/12 + (-3/4) = -1/3 5 5. -7.16 - (-10.51) = 3.35 6. -3 2/3 - 5/6 = -4 1/2 7. - 6.84 + 4.97 = -1.87 ### **Page 4** Solve. 1. The precipitation, in inches, Tampa normally receives each month for the last four months of the year is as follows: 6.3, 2 3/10, 1.6, and 2 1/2. Write and evaluate an expression to determine how much precipitation, in inches, Tampa receives from September through December. 6.3 + 2 3/10 + 1.6 + 2 1/2 = 12 9/10 Evaluate the expression. 2. 4.7 + (-7.2 – (-3.4)) = 1.9 3. -2 3/10 -4 7/10 + 2.6 - (-1.9) = -2 1/5 4. 8-(-3.68) + (-2 5/8) = 9.32 Identify the sign of the product or quotient without calculating the value of the expression. 1. 584 × (-34) = Negative 2. -564 × (-71) = Positive 3. -62 × 83 = Negative 4. -297(-45) = Positive 5. 415 ÷ (-65) = Negative 6. 7,730 ÷ 82 = Positive 7. -6,142 ÷ 22 = Negative 8. -881 × 207 = Negative 9. -213 × (-814) = Positive Find each product. 1. (-4)(7)(-2) = 56 2. (-2)(6)(5) = -60 3. (-3)(-4)(-2)(6) = -144 4. (9)(-0.6)(-4) = 21.6 5. (3)(0.1)(-15) = -4.5 6. (8)(-0.2)(0.5)(4) = -3.2 7. (-15)(1/4)(-2 )= 7.5 8. (-4)(- 5/8)(- 1/2) = -1 1/4 9. (-1/3)(- 2/3)(- 5/3) = -10/27 ### **Page 5** Express each fraction or quotient as a decimal. 1. 2/5 = 0.4 2. 7/8 = 0.875 3. 5/9 = 0.55 4. 3/4 = 0.75 5. 5 3/4 = 5.75 6. 12 2/15 = 12.13 7. 8/15 = 0.53 8. 4 3/4 = 4.75 9. 17/3 = 5.67 10. 27 ÷ -8 = -3.375 11. - 50 ÷ 11 = -4.55 12. - 23 ÷ 25 = - 0.92 1. Denise makes 21 quarts of ice cream. She stores the ice cream in containers that hold 1 3/4 quarts of ice cream. How many containers does she need? 21 ÷ 1 3/4 = 12 2. Mara is draining her swimming pool. The depth of the water in the pool changes by - 3/4 foot every hour. The depth of the water was 5 feet when she started draining. What is the depth of the water after 5 hours? 5 + (-3/4 x 5) = 2 1/4 3. A scientist drops a probe in the water. The depth of the probe changes -1 1/2 feet every second. How many seconds will it take for the probe to reach the bottom at a depth of -114 feet? -114 ÷ (- 1.5) = 76