Adding and Subtracting Polynomials Answers

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78581
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Which property does each equation demonstrate?

Answers:
x2 + 2x = 2x + x2:commutative property
(3z4 + 2z3) – (2z4 + z3) = z4 + z3:closure property
(2x2 + 7x) + (2y2 + 6y) = (2y2 + 6y) + (2x2 + 7x):commutative property
78582

associative property✔ closure propertycommutative property

A
associative property
B
✔ closure property
C
commutative property
78583

associative propertyclosure property✔ commutative property

A
associative property
B
closure property
C
✔ commutative property
78617

8201,020✔ 2,8203,020

A
820
B
1,020
C
✔ 2,820
D
3,020
80540

Lorne subtracted 6x3 – 2x + 3 from –3x3 + 5x2 + 4x – 7. Use the drop-down menus to identify the steps Lorne used to find the difference.

Answers:
Selection 1:wrote as addition of the additive inverse
Selection 2:wrote terms as addition of opposite
Selection 3:grouped like terms
Selection 4:combined like terms
80541

combined like termsgrouped like termswrote as addition of the additive inverse✔ wrote terms as addition of opposite

A
combined like terms
B
grouped like terms
C
wrote as addition of the additive inverse
D
✔ wrote terms as addition of opposite
80542

combined like terms✔ grouped like termswrote as addition of the additive inversewrote terms as addition of opposite

A
combined like terms
B
✔ grouped like terms
C
wrote as addition of the additive inverse
D
wrote terms as addition of opposite
80548

✔ combined like termsgrouped like termswrote as addition of the additive inversewrote terms as addition of opposite

A
✔ combined like terms
B
grouped like terms
C
wrote as addition of the additive inverse
D
wrote terms as addition of opposite

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