Click Here Name LESSON Date Class Practice C 2-6 Solving Multiplication Equations Solve each equation. Check your answers. 225 1. 24s ! 144 ! 2. 5v ! ! 15 16 3. 4q ! !2! 4. (32)m ! 45 5. 266 ! 38x 6. (42)n ! 48 7. 213t ! 1,917 8. (15p) • 4 ! 660 9. 3v ! 300 Solve each equation. 10. 65m ! 845 11. 105r ! 840 12. (24)x ! 112 13. (10p) • 21 ! 1,890 14. 42d ! 210 15. 36 ! 3n • 4 16. 57 • (4q) ! 228 17. 137t ! 822 18. (33)w ! 54 19. If xy ! 56, and y " x ! 1, what are the values for x and y? Copyright © by Holt, Rinehart and Winston. All rights reserved. 20. If x ! 4y, and x # y ! 10, what are the values for x and y? 57 Holt Middle School Math Course 1 Practice C 2-6 Solving Multiplication Equations Practice B 2-6 Solving Multiplication Equations LESSON LESSON Solve each equation. Check your answers. Solve each equation. Check your answers. 1. 8s ! 72 s ! 9; 8 • 9 ! 72 v ! 7; 4 • 7 ! 28 3. 27 ! 9q 6. 7n ! 63 x ! 8; 48 ! 6 • 8 n ! 9; 7 • 9 ! 63 7. 10t ! 130 t ! 13; 10 • 13 ! 130 4. (32)m ! 45 16 q ! 2; 4 • 2 ! !2! m ! 5; 32 • 5 ! 45 2 5. 266 ! 38x 8. 15p ! 450 6. (4 )n ! 48 n ! 3; 42 • 3 ! 48 x ! 7; 266 ! 38 • 7 p ! 30; 15 • 30 ! 450 7. 213t ! 1,917 9. 84 ! 6v v ! 14; 84 ! 6 • 14 8. (15p) • 4 ! 660 t ! 9; 213 • 9 ! 1,917 p ! 11; (15 • 11) • 4 ! 660 9. 3v ! 300 Solve each equation. 10. 49 ! 7m 11. 20r ! 80 m!7 13. 36 ! 4p 12. 64 ! 8x v ! 100; 3 • 100 ! 300 r!4 x!8 14. 147 ! 7d 15. 11n ! 110 p!9 d ! 21 Solve each equation. n ! 10 16. 12q ! 144 17. 25f ! 125 18. 128 ! 16w q ! 12 f!5 w!8 19. A hot-air balloon flew at 10 miles per hour. Using the variable h, write and solve a multiplication equation to find how many hours the balloon traveled if it covered a distance of 70 miles. 10. 65m ! 845 m ! 13 r!8 x!7 14. 42d ! 210 p!9 15. 36 ! 3n • 4 d!5 16. 57 • (4q) ! 228 n!3 18. (33)w ! 54 17. 137t ! 822 q!1 t!6 19. If xy ! 56, and y " x ! 1, what are the values for x and y? 20s ! 300; s ! 15 times faster 12. (24)x ! 112 11. 105r ! 840 13. (10p) • 21 ! 1,890 20. A passenger helicopter can travel 300 miles in the same time it takes a hot-air balloon to travel 20 miles. Using the variable s, write and solve a multiplication equation to find how many times faster the helicopter can travel than the hot air balloon. 10h ! 70; h ! 7 hours w!2 20. If x ! 4y, and x # y ! 10, what are the values for x and y? y ! 8 and x ! 7 56 Holt Middle School Math Course 1 57 Copyright © by Holt, Rinehart and Winston. All rights reserved. Reteach 2-6 Solving Multiplication Equations Holt Middle School Math Course 1 Challenge 2-6 Regulation Sizes LESSON LESSON Write a multiplication equation for the area of each regulation field or court. Then solve the equations to find the missing measurements. Remember: Area ! length • width, or A ! l • w. You can use tiles to help you solve multiplication equations. variable Division undoes multiplication, so you can use division to solve multiplication equations. x ! 8 and y ! 2 add 1 1. 2. l !94 ft w !? To solve 3x ! 12, first use tiles to model the equation. 3x A !4,700 ft2 12 ! Next, divide each side of the equal sign into 3 equal groups A !8,250 m2 4,700 ! 94w; w ! 50 8,250 ! 75l; l ! 110 What is the width of a regulation basketball court? What is the length of a regulation soccer field? 50 feet 3. ! l !90 ft w !? Check: 3x ! 12 3 • 4 ! 12 12 ! 12 ! x 110 meters 4. l !? w !26 m The number of tiles in one group represents the solution. l !? w !75 m Copyright © by Holt, Rinehart and Winston. All rights reserved. 4 A !1,586 m2 x!4 Use tiles to solve each equation. Then check each answer. 1. 5x ! 15 x!3 5. 3x ! 18 x!6 9. 4x ! 24 x!6 Copyright © by Holt, Rinehart and Winston. All rights reserved. 225 v ! 3; 5 • 3 ! !1! 5 16 3. 4q ! !2! m ! 5; 12 • 5 ! 60 5. 48 ! 6x ! 2. 5v ! ! 15 s ! 6; 24 • 6 ! 144 4. 12m ! 60 q ! 3; 27 ! 9 • 3 225 1. 24s ! 144 2. 4v ! 28 2. 2x ! 6 3. 4x ! 16 x!3 x!4 6. 6x ! 12 7. 7x ! 21 x!2 11. 8x ! 16 x!3 Copyright © by Holt, Rinehart and Winston. All rights reserved. x!1 1,586 ! 26l; l ! 61 8,100 ! 90w; w ! 90 What is the length of a regulation ice hockey rink? What is the width of a regulation baseball diamond? 61 meters 90 feet 12. 5x ! 25 x!2 58 x!3 8. 9x ! 9 x!3 10. 3x ! 9 A !8,100 ft2 4. 8x ! 24 x!5 Holt Middle School Math Course 1 Copyright © by Holt, Rinehart and Winston. All rights reserved. 92 59 Holt Middle School Math Course 1 Holt Middle School Math Course 1
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