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e x p l o r at i o n Georgia Performance Standards 2G Multiplication Equations M6A3 Bill bought 7 tickets to a basketball game for $21. How much did each ticket cost? t t t t t t t $21 7 t 21 7 3 21 t3 Each ticket cost $3. Find the value of n in each equation. 1. 4 n 36 n __________ 2. 100 n 500 n __________ 3. 50 5 n n __________ 4. 24 n 48 n __________ 5. 10 n 240 n __________ Think and Discuss 6. Discuss your strategies for solving the equations. 7. Explain how you can find the solution to 4 n 200. Copyright © by Holt, Rinehart and Winston. All rights reserved. 35 Holt Mathematics Name Date LAB Hands-On Lab 2G Solving Multiplication Equations Class You can use algebra tiles to help you solve equations. KEY 1 x Activity To solve the equation 3x 6, you need one x by itself on one side of the equal sign. Show this with algebra tiles. Divide each side into equal parts. 3x 6 x = 2 Divide each side into 3 equal parts. 1. Draw the tiles to solve 2x 8. 2x 8 x = Divide each side into 2 equal parts. Copyright © by Holt, Rinehart and Winston. All rights reserved. 36 Holt Mathematics Name Date Class Hands-On Lab LAB 2G Solving Multiplication Equations, continued Think and Discuss 1. When you put tiles into equal groups, what operation are you representing? 2. Give an example of an equation that would require you to divide the tiles into five equal groups to solve. 3. How many x blocks and how many unit blocks do you need to represent and solve your equation in Exercise 2? Try This Draw algebra tiles to model each equation. Then solve the equation. 1. 2x 10 2. 3x 12 x x 4. 4x 8 x Copyright © by Holt, Rinehart and Winston. All rights reserved. 3. 4x 4 x 5. 3x 9 6. 2x 8 x x 37 Holt Mathematics Name Date LESSON Review for Mastery 2G Multiplication Equations Class You can use tiles to help you solve multiplication equations. variable Division undoes multiplication, so you can use division to solve multiplication equations. add 1 To solve 3x 12, first use tiles to model the equation. 3x 12 Next, divide each side of the equal sign into 3 equal groups The number of tiles in one group represents the solution. Check: 3x 12 3 • 4 ⱨ 12 12 ⱨ 12 ⻬ x 4 x4 Use tiles to solve each equation. Then check each answer. 1. 5x 15 2. 2x 6 3. 4x 16 4. 8x 24 5. 3x 18 6. 6x 12 7. 7x 21 8. 9x 9 11. 8x 16 12. 5x 25 9. 4x 24 Copyright © by Holt, Rinehart and Winston. All rights reserved. 10. 3x 9 38 Holt Mathematics Name LESSON 2G Date Class Homework and Practice Solving Multiplication Equations Solve each equation. Check your answers. 1. 7w 42 2. 4h 36 3. 40 8f 4. 11q 88 5. 35 5d 6. 9p 54 7. 12x 72 8. 13r 143 9. 51 3m Solve each equation. 10. 24 6q 11. 15v 75 12. 100 2s 13. 48 16a 14. 200 20z 15. 18t 108 16. 30c 90 17. 24g 168 18. 126 14k 19. A hot air balloon flew at 8 miles per hour. Write and solve a multiplication equation to find out how many hours the balloon traveled if it covered a distance of 72 miles. Copyright © by Holt, Rinehart and Winston. All rights reserved. 20. Trevor makes $11 an hour. His last paycheck was for $385. Write and solve a multiplication equation to find out how many hours he worked. 39 Holt Mathematics