Properties of Equality

What is Addition 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

CCSS.HSA.REI.B.3

What is Subtraction 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

CCSS.HSA.REI.B.3

What is multiplication 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.3.OA.B.5

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.APR.D.7

CCSS.HSA.REI.B.3

What is the Distributive property of equality

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

Tags

CCSS.3.OA.B.5

What is the Substitution property of equality

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

Tags

CCSS.HSA.SSE.B.3

What is the Symmetric property of equality

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

What is the Transitive property of equality

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

Which property of real numbers justifies the work shown from Step 1 to Step 2?

• Distributive Property
• Commutative Property
• Identity Property
• Associative Property

Tags

CCSS.HSA.REI.A.1

Which property of real numbers was used to get from Step 3 to Step 4?

• Addition Property of Equality
• Subtraction Property of Equality
• Additive Inverse Property
• Substitution Property

Tags

CCSS.HSA.REI.A.1