40 Expressions and PatternsExamples 1, 2 Use the Distributive Property to rewrite each expression. Then evaluate it.- 7 ( 4 + 3 ) 2. 5 ( 6 + 2 ) 3. 3 ( 9 ) + 3 ( 6 ) 4. 6 ( 17 ) + 6 ( 3 )
Example 3 55 MENTAL MATH Admission to a baseball game is $12, and a hot dog costs
$5. Use the Distributive Property to mentally find the total cost for 4
tickets and 4 hot dogs. Explain your reasoning.- MENTAL MATH A cheetah can run 65 miles per hour at maximum speed.
At this rate, how far could a cheetah run in 2 hours? Use the Distributive
Property to multiply mentally. Explain your reasoning.
Example 4 Evaluate each expression mentally. Justify each step.- 44 + (23 + 16) 8. 50 · (33 · 2)
= Step-by-Step Solutions begin on page R1.
Extra Practice begins on page EP2.Examples 1, 2 Use the Distributive Property to rewrite each expression. Then evaluate it.- 2 ( 6 + 7 ) 10. 5 ( 8 + 9 ) 11. 4 ( 3 ) + 4 ( 8 ) 12. 7 ( 3 ) + 7 ( 6 )
Example 3 Evaluate each expression mentally. Justify each step.- (8 + 27) + 52 14. (13 + 31) + 17
- 91 + (15 + 9) 16. 85 + (46 + 15)
- (4 · 18) · 25 18. (5 · 3) · 8
1919 15 · (8 · 2) 20. 2 · (16 · 50) - 5 · (30 · 12) 22. 20 · (48 · 5)
MENTAL MATH Use the Distributive Property to multiply mentally. Explain
your reasoning.Example 4- TRAVEL Each year about 27 million people visit Paris, France. About how
many people will visit Paris over a five-year period? - ROLLER COASTERS One ride on a roller coaster lasts 108 seconds. How
long will it take to ride this coaster three times?
The Distributive Property also can be applied to subtraction. Use the
Distributive Property to rewrite each expression. Then evaluate it.- 7 ( 9 ) - 7 ( 3 ) 26. 12 ( 8 ) - 12 ( 6 ) 27. 9 ( 7 ) - 9 ( 3 ) 28. 6 ( 12 ) - 6 ( 5 )
ALGEBRA Use one or more properties to rewrite each expression as an
equivalent expression that does not use parentheses.- (y + 1 ) + 4 30. 2 + (x + 4 ) 31. 4 ( 8 b) 32. ( 3 a) 2
- 2(x + 3) 34. 4(2 + b) 35. 6(c + 1) 36. 3(f + 4) + 2 f
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