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Example 4 Find the value of m: 126 ∙ m = 7 Solution The letter m is in the position of the divisor. If we were to rewrite the problem with a division box, it would look like this:7 m 1267 m 126 Practice Set We can find m by dividing 126 by 7. 7 7 18 m 126 m 126 5 7 1218 6 7 1256 We find that m is 18. We can check our division by multiplying as7follows: m 126 5 18 18 18 15 7 1256 7 1256 7 ×15 C7 7 126 C 18 7 In the original equation we can replace the 7 1256and test the m letter 126 with our answer 15 truth of 15 the resulting equation. 8 7 C 7 C D 144 87 126 ÷ 18 = D 144 7 = 7 18 15 7 C 7 1256 8 8 Analyze Find each unknown number. Check your work by using your answer D 144 D 144 in place of the letter in the original problem. a. A × 7 91 e. 7w = 84 g. 360 30 x = i. Formulate Written Practice b. 20 × B 440 15 c. 7 C 8 d. D 144 360 n 60 x 30 5n 360 60 30 x 5 8 8m f. 112 = D 144 n 360 60x 30 h. n = 60 5 5 Write a word problem using the equation in exercise h. 360 x 30 Strengthening Concepts n 60 5 1. Five dozen carrot sticks are to be divided evenly among 15 children. Find how many carrot sticks each child 360 should receive n by dividing 60 x 30 60 by 15. 5 (2) 2. Matt separated 100 pennies into 4 equal piles. Find how many pennies were in each pile. Explain how you found your answer. (2) 3. Sandra put 100 pennies into stacks of 5 pennies each. Find how many stacks she formed by dividing 100 by 5. (2) 4. For the upcoming season, 294 players signed up for soccer. Find the number of 14-player soccer teams that can be formed by dividing 294 by 14. (2) 26 Saxon Math Course 1 5. Angela is reading a 280-page book. She has just finished page 156. Find how many pages she still has to read by subtracting 156 from 280. (1) 6. Each month Bill earns $0.75 per customer for delivering newspapers. Find how much money he would earn in a month in which he had 42 customers by multiplying $0.75 by 42. (2) * Analyze 7. J ×5 60 9. L + 36 37 (4) (3) Find each unknown number. Check your work. 8. (3) 10. (3) 27 + K 72 64 − M 46 6 $12.36 11. n − 48 = 84 12. 7p = 91 13. q ÷ 7 = 0 14. 144 ÷ r = 6 15. 6 $12.36 16. 17. 526 ÷ 18 18. 563 + 563 + 563 + 563 19. $3.75 ⋅ 16 20. $3 + $2.86 + $0.98 (3) (4) (4) (4) (2) (2) (2) 5760 8 (1) (2) 5760 21. $10 8 − $6.43 (1) (1) 22. If the divisor is 3 and the quotient is 12, what is the dividend? (4) 23. If the product is 100 and one factor is 5, what is the other factor? (4) * 24. (1) Rearrange the numbers in this subtraction fact to form another subtraction fact and two addition facts. Connect 17 − 9 = 8 * 25. (2) Rearrange the numbers in this division fact to form another division fact and two multiplication facts. Connect 72 ÷ 8 = 9 26. w + 6 + 8 + 10 = 40 (3) 27. Find the answer to this addition problem by multiplying: (2) 23¢ + 23¢ + 23¢ + 23¢ + 23¢ + 23¢ + 23¢ 28. 25m = 25 (4) * 30. (4) 29. 15n = 0 (4) Explain How can you find an unknown factor in a multiplication problem? Lesson 4 27