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8th Grade Math Q1 Comp 2 Due 8/29 Name ________________________________________ Solving Multi-Step Equations Directions: Distribute, if necessary. Collect “Like Terms” on each side. Use inverse (opposite) operations to isolate the variable. 1st: Undo Addition or Subtraction 2nd: Undo Multiplication or Division Solve. Check your solutions. 1. 15x 8 3x 16 2. 5n 3 4n 30 3. h 6 7h 42 4. 3(n 5) 2 26 5. 4 2(v 6) 8 6. 1.4 1.6(t 6) 4.6 7. 2.4(m 3) 3.8 8.2 8. 6 8(s 10. 4(c 3) 6 10 11. 3 ) 20 4 3.8(s 6) 4.6 22 9. 5(c 4 ) 6 50 5 12. 18(m 4 ) 16 118 9 Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 14 Holt McDougal Mathematics 8th Grade Math Q1 Comp 2 Due 8/29 Name ________________________________________ For each of the word problems, identify the variables and write an equation. Find the solution for each problem. Show your work on a separate sheet of paper. 1. Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. In how many days will the water level be 26 feet? Solution:_________________________________________________________________ 2. Seth’s father is thinking of buying his son a six-month movie pass for $40. With the pass, matinees cost $1.00. If matinees are normally $3.50 each, how many times must Seth attend in order for it to benefit his father to buy the pass? Solution:_________________________________________________________________ 3. For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. How much money will she make if she baby-sits 5 hours? Solution:_________________________________________________________________ 1. A plumber charges $25 for a service call plus $50 per hour of service. What will be the total cost for 8 hours of work? 10 hours of work? Solution:_________________________________________________________________ 2. Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25 pounds each week. How long will it take Rufus to collect 400 pounds of cans? Solution:_________________________________________________________________ 3. A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. What is the cost of renting the canoe for 6 hours? Solution:_________________________________________________________________ 4. A caterer charges $120 to cater a party for 15 people and $200 for 25 people. How much would a party for 40 people cost? Solution:_________________________________________________________________ 5. An attorney charges a fixed fee on $250 for an initial meeting and $150 per hour for all hours worked after that. Find the charge for 26 hours of work. Solution:_________________________________________________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 15 Holt McDougal Mathematics 8th Grade Math Q1 Comp 2 Due 8/29 Name ________________________________________ 16. Joel has twice as many CDs as Mariella has. Subtracting 7 from the number of CDs Joel has and dividing by 3 equals the number of CDs Blake has. If Blake has 25 CDs, how many CDs does Mariella have? ________________________________________________________________________________________ 5. x 3 6. b 1 7 8 9. z 13 11. 2 kilometers 7. n 4. Get the variable by itself. 5. 3n 6. division 7. Compute and simplify Puzzles, Twisters & Teasers 8. w 6 10. b 4 Practice B 1. 42 3. 1 2. 6 4. 12 1. x 2 2. n 3 3. h 6 4. g 9 5. 5 6. 40 5. b 1 6. y 2 7. 12 8. 9 7. k 5 8. m 3 2 5 W A T E R 9. 10. 3 M O C C A S I N S 10. n 3 11. v 12 12. t 8 13. m 2 14. s 4 15. c 8 16. Mariella has 41 CDs. LESSON 12-2 Practice A 1. B 3. A 9. d 7 Practice C 2. F 4. H 1. x 2 2. n 6 Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 16 Holt McDougal Mathematics 3. h 5 4. g 16 5. a 1 6. y 58 7. c 7 8. s 1 9. m 7 10. u 2 11. n 90 12. t 2 13. m 12 14. s 24 3. R 5. S 7. W 4. O 6. S 8. I 15. a 0.8 16. There are 2 cucumber plants and 10 tomato plants. Review for Mastery 1. 8a; 8a; 7; 7; 7; 24; 8a 24 ; ; 8; 8 8 3 2. 4; 4; 4; 9; 9; 9; 9; 9; 3. b 3 4. y 5 5. c 2 6. r 7 7. s 3 8. x 9 12; 4; 3 Challenge 1. (5, 15) 3. (7, 5) 2. (8, 2) 4. (5, 3) 5. (5, 2) 6. (6, 3) 7. (5, 7) 8. (3, 1) Problem Solving 1. 3. 5. 7. 9. 43.68 °C 57.12 °C 39.14 °F B A 2. 4. 6. 8. 10. 19.04 °C 62.16 °C 82 °F G G Reading Strategies 1. 4 terms 3. 2 terms 2. 2 terms 4. 4x and 2x 5. 6x 6. 6 and 3 7. 6 3 3 8. 6x 3 33 Puzzles, Twisters & Teasers 1. A 2. C Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 67 Holt McDougal Mathematics