Algebraic Proofs, Properties, Conditionals, and Biconditionals

What is division property of equality

• a.   If a=b, then a+c=b+c
• b.  If a=b, then a-c=b-c
• c.  If a=b, then ac=bc
• d.  If a=b, then a/c=b/c

Tags

CCSS.HSA.REI.A.1

Simplify the expression with the distributive property
6(x + 3)

• 6x + 3
• 6x + 18
• x + 3
• 9x

Tags

CCSS.6.EE.A.3

3(w + 4) = 3w + 12 is an example of...

• Inverse Property
• Distributive Property
• Multiplicative Inverse
• Associative Property

Tags

CCSS.7.NS.A.2C

What is the Symmetric property?

• If a=b, then  a can be substituted for b in any equation or expression
• a(b+c)=ab+ac
•  For any real number a, a=a .
•  If a=b, then b=a

Tags

CCSS.7.EE.A.1

Which property says that if k = 3, then 3 = k?

• Substitution Property
• Reflexive Property
• Symmetric Property
• Transitive Property

Tags

CCSS.7.EE.A.1

Which property states that 4 = 4?

• Substitution Property
• Reflexive Property
• Symmetric Property
• Transitive Property

Tags

CCSS.7.EE.A.1

Which property states if 7m = 35, then 7m + 4 = 35 + 4?

• Addition Property
• Subtraction Property
• Multiplication Property
• Division Property

Tags

CCSS.HSA.REI.A.1

If x = y, then x + 5 = y + 5.

• Addition POE
• Subtraction POE
• Reflexive POE
• Transitive POE

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

If m=a and a=k, then m=k.

• Addition POE

• Symmetric POE

• Reflexive POE

• Transitive POE

If a=b, then 8a=8b

• Multiplication POE
• Division POE
• Reflexive POE
• Addition POE

Tags

CCSS.7.EE.A.1