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# identify the property shown by equations

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Question:Step 1: 3(x + 2) = -18 Step 2: 3x + 6 = -18 A. associative property of addition B. commutative property of addition C. closure property D. distributive property

Answers:1. You need to DIVIDE both sides by 8 to get n by itself. 2. You need to DIVIDE both sides by 6 to get n by itself. 3. You need to MULTIPLY both sides by 5 to get n by itself. 4. You need to MULTIPLY both sides by 3 to get n by itself. 5. All you need to do is plug in "4" for "n." So you will do 16 times 4. 6. Plug in 3 for x. 7. Anything with a plain "x" attatched to it, you can add together. Anything with an x2 in it, you can add together. Just take the numbers in front (coefficients) and add them together. 8. Same as obove. 9. Plug in 3 for a and 5 for b. 10. plug in 3 for x. 11. You need to ADD 8 to both sides to get x by itself. 12. You need to ADD 9 to both sides to get x by itself. 13. The problem is stating that you can "switch the order" when adding. This is the commutative property. 14. There is an error in this one. The two sides are not equal. Did you copy it down correctly?

Question:The properties of addition are: [1] Commutative Property [2] Associative Property [3] Additive Identity Property [4] Additive Inverse Property For each equation below, indicate the property that justifies the equation by filling in the box with the appropriate number. ( 3 + x) + 8 = 3 + ( x + 8 ) = # ? 8+0= 8 = #? 3 + (4 + y ) = (4+y) + 3 = #? please help, thanks!!!

Answers:( 3 + x) + 8 = 3 + ( x + 8 ) = this is associative because it is just regrouping the order for operations 8+0= 8 = this is additive identity, because adding with zero identifies the other number 3 + (4 + y ) = (4+y) + 3 = this is commutative because the numbers have commuted around see how the #'s moved? I hope this helps

Question:1. Identify the Property which correctly solves the equation: 8n = 48 Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality 2. Identify the correct step to solve the equation: 6n = 42 Subtract 6 from both sides of the equation. Add 6 to both sides of the equation. Multiply both sides of the equation by 6. Divide both sides of the equation by 6. 3. Identify the correct step to solve the equation: x + 16 = 37 Subtract 16 from both sides of the equation. Add 16 to both sides of the equation. Multiply both sides of the equation by 16. Divide both sides of the equation by 16. 4. Identify the Property which correctly solves the equation: x + 19 = 30. Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality Bonus Questions Identify the Property which correctly solves the equation: x 8 = 2. Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality Identify the illustrated property: (2 5) 8 = 2 (5 8) Commutative Property of Multiplication Associative Property of Multiplication Identity Property of Multiplication Distributive Property Identify the illustrated property: 2(6 + 4) = 2 6 + 2 4 Commutative Property of Addition Associative Property of Addition Identity Property of Addition Distributive Property

Answers:[03] 1) Division property of equality 2) Divide both sides of the equation by 6 3)Subtract 16 from both sides of the equation 4)Subtraction property of equality