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Lesson: Properties of Addition and Multiplication in Algebraic Expressions

Video

08:17

Sample Question Videos

Worksheet • 4 Questions • 1 Video

Q1:

In the solution of 4 ( π‘₯ βˆ’ 3 ) = 2 4 , consider the steps

In going from the second equation to the third equation, the fact that 1 4 Γ— 4 = 1 is used. What other property of numbers is used in this step?

  • Athe associative property
  • Bthe property of opposites
  • Cthe distributive property
  • Dthe zero property of addition
  • Ethe commutative property

Q2:

Sameh has used properties of addition and multiplication to write equivalent expressions.

Name property A.

  • ADistributive property
  • BCommutative property of addition
  • CMultiplicative property
  • DAssociative property

Name property B.

  • ACommutative property of addition
  • BDistributive property
  • CMultiplicative property
  • DAssociative property

Q3:

Samar has used properties of addition and multiplication to write equivalent expressions.

Name property A.

  • AInverse property of multiplication
  • BIdentity property of multiplication
  • CDistributive property
  • DAssociative property
  • ECommutative property of addition

Name property B.

  • ACommutative property of multiplication
  • BAssociative property
  • CCommutative property of addition
  • DDistributive property
  • EInverse property of multiplication

Name property C.

  • ADistributive property
  • BCommutative property of multiplication
  • CAssociative property
  • DInverse property of multiplication
  • ECommutative property of addition

Q4:

Which equation shows the associative property of addition?

  • A 2 + ( π‘₯ + 3 ) = ( 2 + π‘₯ ) + 3
  • B ( βˆ’ π‘₯ ) + π‘₯ = 0
  • C 2 ( π‘₯ + 3 ) = 2 π‘₯ + 6
  • D 2 ( π‘₯ 3 ) = ( 2 π‘₯ ) 3
  • E 2 + π‘₯ = π‘₯ + 2
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