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1 .6 Start Thinking! For use before Lesson.6 Sample answer: 1. You can multiply the quotient by the divisor and compare it to the dividend.. You can do the division a second time to make sure that you get the same quotient.. You can use a calculator to check..6 Warm Up For use before Practice A The dividend was not aligned properly. The answer should be $ , songs sheets of paper Practice B The 18-ounce box is the best buy because $ = $0. per ounce, which is the lowest per-ounce price a. 16 weeks b. 4 weeks; Sample answer: Divide the difference in prices by $ < 1. >.6 Enrichment and Extension A PENNY 11. A BREATH 1.. m 1..9 m.6 Puzzle Time SHE WAS A BEE STUDENT Technology Connection or ( ) (( ) ). ( 6). ( + 7 1) ( 6 ); no; Kelly divides 6 by, Jamie divides by and then divides by which is the same as dividing by 6, not by. The correct answer is Chapter.1 Start Thinking! For use before Activity.1 Sample answer: A word problem should be well written, concise, and include all the necessary details..1 Warm Up For use before Activity A11

2 .1 Start Thinking! For use before Lesson.1 Sample answer: You would map out the route, including stops along the way. You could find the distance and estimate the average speed to find how long it would take using the equation d = rt..1 Warm Up For use before Lesson ; $0. 1 ; minutes. 4 4; $ ; 10 miles.1 Practice A 1. terms:, c, e. terms: m, 9 coefficients: 1, 1 coefficient: constant: constant: 9. terms: p, 7 coefficient: constant: = 0 should be done first. So, 0 6 = $ problems 19. a. $60.00 b. yes; 4 times $ is $ a. 78 pages b. no; times is only 104 pages..1 Practice B 1. 4 m. fg row 1: 40, 67, 10 row : 9, 68, 148 row : 6, 1, $ cars 7.4x y 16. Your opponent won by one point, a. Sample answer: 10 four-legged and two-legged b. 9 two-legged and 7 four-legged c. 1 four-legged animal or two-legged animals.1 Enrichment and Extension First Number Cube Second Number Cube 14. 9; it appears more often ( times) in the table compared to the other values.1 Puzzle Time THEY HAD SLEEPLESS KNIGHTS. Start Thinking! For use before Activity. addition; Sample answer: heavier than (addition), shorter than (subtraction), twice (multiplication), split (division). Warm Up For use before Activity Start Thinking! For use before Lesson Sample answer: It means that Susie lives blocks closer to the school than Bill does. Bill walks more blocks than Susie; to figure out how many blocks Susie walked, subtract from the number of blocks Bill walked. A1

3 . Warm Up For use before Lesson t. 8h. 7 f w. n 6. p. Practice A or m. x or x p or p 8 6. x or x 7. y k c or c d 11. Twelve less than a number means that you must subtract 1 from the number x; x more than a number x, or the total of a number x and decreased by the number n, or n less than x + 1; 1. x 1 ; x; a. x + or + x b. 1 + or 8 years old. Practice B or n. 6yor y e or e n x 1 8. m 7 9. f + or + f 10. w ; 18 x y + 0 ; ; y 1. ( x + 9 ); A; The next number is three more than the previous number. 17. a. eggs b. 4x c. 14 is the number of bags, is the number of cookies in each bag, is the number of cookies that are not needed to fill the bags, is the number of batches, and 4 the number of cookies in each batch or recipe.. Enrichment and Extension 1. divided by; quotient of. more than; difference of. less than; product of Joke answer: nice belt. Puzzle Time SQUEAL OF FORTUNE. Start Thinking! For use before Activity. One sample method: Add = 40, = 0, and = 0. Then add = 100; yes; is commutative. That is, the order in which you add does not matter.. Warm Up For use before Activity Start Thinking! For use before Lesson. Sample answer: If you are finding the area of your bedroom that measures 10 feet by 1 feet, the area is 10( 1) = 10 square feet or 1( 10) = 10 square feet. The order in which you multiply doesn t affect the answer. Sample answer: You are sitting between two friends at a movie theater. You talk to one friend, and then you talk to the other friend.. Warm Up For use before Lesson. 1.. Associative. of 4. Associative Property. 6. of A1

4 . Practice A 1. of. Zero. 4. Associative Property. Multiplication One 6. Associative 7. + ( a + 8) = + ( 8 + a) 8. ( x) = ( x) of = ( + 8) + a Associative Property of = 10 + a Add and 8. = ( ) x Associative Property = 10x Multiply and ( y) = ( 7 4) y Associative Property = 8y Multiply 7 and = Commutative = c + ( 0 + 1) Commutative = c + 1 Property 10. ( c) ( c ) 11. ( 8e) 1 = 1 ( 8e) = ( 1 8) e Associative Property = 8e Multiplication Property of One 1. 7 x = 7 ( x ) Associative Property = 7 ( x) = ( 7 ) x Associative Property = x Multiply 7 and a ( 6 + 9) ( ) = 4; Any number times one equals itself. 18. x + y + 0 y + x + 0. Practice B Commutative = ( ) + f Associative = 0 + f Add 16 and ( f + 4) = 16 + ( 4 + f). ( y) 9 = 9 ( y) = ( 9 ) y Associative Property = 7y Multiply 9 and.. 8 ( y) = ( 8) y Associative Property = 40y Multiply 8 and = Commutative = n + ( 0 + 1) Associative = n + 1 Property 4. ( n) ( n ). ( 1 y) 1 = 1 ( 1 y) x 4 = 10 ( x 4) = ( 1 1) y Associative Property = 1y Multiplication Property of One Associative Property = 10 ( 4 x) = ( 10 4) x Associative Property = 40x Multiply 10 and 4. 4 y 0 = 4 y 0 = 4 0 Multiplication Property = 0 Multiplication Property 7. ( ) Associative Property A14

5 Commutative = ( + ) + p Associative = 40 + p Add and ( p + ) = + ( + p) h k 11. ( ) ( 1 ) w c 1. The change in grouping shows the Associative Property. 16. a n n = n b. ( ) Associative t + 9 = 66 + t. Enrichment and Extension 6. nn+ ( 1). Puzzle Time IT WAS A COOKBOOK.4 Start Thinking! For use before Activity.4 = 40 + n Add 1 and 19. yes; The product for both expressions is Warm Up For use before Activity.4 Number of Pairs Sum of Each Pair Sum 1. 1 through through through through , through ,00.4 Start Thinking! For use before Lesson.4 Sample answer: If you are preparing goody bags, you distribute the candy evenly among the bags..4 Warm Up For use before Lesson Practice A = = = x c y e n x + 8 = 7x must be multiplied by both x and 9; x C; You need to add the two activities and then multiply the sum by. 16. ( r ) + = r w = 9w m 7 = m m f x..1p area: ( x + ) = x + 10 perimeter: ( ) ( x ) + + = x Practice B = = = a + 48 A1

6 8. 7p x f 1k a + 4 = 6a x + 9y must be multiplied by both x and 7. 6x ( c + 1) = 7c ( y ) x + 1 = x t = 8t y = 4y = 4y w + 0..d x + 4x = 4 x 9 9. x = 11. x = x x ( x ).4 Enrichment and Extension 1. 0( ) = 0( 18) + 0( 19) + 0( 6) = 0( ) + 0( 00 8) + 0( 0 + 6) = , , = 8,800 The company receives $8,800 for the in-ear model.. 100( ) = 100( 96) + 100( 19) + 100( 160) = 100( 100 4) + 100( 00 8) + 100( ) = 10, , , = 44,800 The company receives $44,800 for the over-the-ear model.. The company receives a total of $8,800 + $44,800 = $7,600 for both models. 4. The price of the over-the-ear model is twice the price of the in-ear model. So, if each store orders twice as many in-ear models, the price they will pay for each model will be equal.. Commutative, Multiplication; Distributive; Commutative, Multiplication.4 Puzzle Time ON ACCOUNT IT WAS KNOTTY Extension.4 Start Thinking! For use before Extension.4 no; Sample answer: First you need to use the Distributive Property [10x x 7]. Next use the of [10x + x + 0 7]. Then use the Distributive Property[(10 + 1) x + 0 7]. Finally, add and subtract the coefficients[11x + ]. Your cousin forgot to include the 1 in front of the x in the second step. Extension.4 Warm Up For use before Extension Extension.4 Practice 1. 1( 1). 1 ( + ). ( ) 4. 1( + ). 77 ( ) ( ) 7. 10( 1 + ) 8. ( x + ) 9. 8 ( x ) 10. ( x 1) ( x + 1) 1. 17( x + ) 1. 4 ( x y) ( x y) 1. 14( x y) C ( x + 0,4 ) ( x +,4 ) ( x + 0) 10( x + 10 ), 0( x + ) 18. The width is ( x +. ) 19. The additional cost is $. Technology Connection 1. A8, B8. 6*A 9; yes; You can replace 6*A with B for B 9. A16