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Math  /  Algebra

QuestionEvaluate when n=−4n=-4 [3.1]
43. 5n5 n
44. 17−2n17-2 n
Name the property illustrated. [3.2, 3.3]
45. 3+a=a+33+a=a+3
46. 9+(b+6)=(9+b)+69+(b+6)=(9+b)+6
47. 8(g+7)=8g+568(g+7)=8 g+56
48. 5⋅0=05 \cdot 0=0
Factor each expression using the Distributive Property. [3.4]
49. 5x+255 x+25
50. 7m−497 m-49
51. Evaluate: (3+7)⋅6+12÷6(3+7) \cdot 6+12 \div 6 \quad [2.7]
52. Evaluate: (3−5)2+3⋅4(3-5)^{2}+3 \cdot 4 [2.7] A. 62 A. 8 B. 12 B. -4 C. 30 C. 16 D. 47 D. 28 E. none of these E. none of these

Studdy Solution
Evaluate (3−5)2+3⋅4 (3 - 5)^2 + 3 \cdot 4 :
(−2)2+12=4+12=16 (-2)^2 + 12 = 4 + 12 = 16
The evaluated expressions and identified properties are:
43. −20-20
44. 2525
45. Commutative Property of Addition
46. Associative Property of Addition
47. Distributive Property
48. Multiplicative Property of Zero
49. 5(x+5)5(x + 5)
50. 7(m−7)7(m - 7)
51. 6262
52. 1616

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