Define the additive identity property.

When 0 is added to any number a, the sum is a.

Define the multiplicative property of 0.

For any number a, a⋅0=0⋅a=0

Define the substitution property of equality.

If a=b, then a may be replaced by b.

Define the multiplicative identity property.

When a number a is multiplied by 1, the product is a.

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Properties of Equalities

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A #math game to introduce the basics of #algebra.

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Answers

1
Define the additive identity property.
When 0 is added to any number a, the sum is a.
If 0 is a factor, the product is 0.
When a number a is multiplied by 1, the product is a.
a=a
2
Which represents the multiplicative inverse property?
a×(1/a)=1
a(0)=0
a(1)=a
a+(-a)=0
3
Name the property the equality: If 9+3=12, then 12=9+3
Transitive
Substitution
Symmetric
Reflexive
4
Define the multiplicative property of 0.
For any number a, a⋅0=0⋅a=0
For any number a, a+0=a
For any number a, a⋅1=1⋅a=a
a=a
5
Name the property: If 10-3=4+3 and 4+3=7, then 10-3=7.
Symmetric
Substitution
Reflexive
Transitive
6
Define the substitution property of equality.
If a=b, then b=a
a=a
If a=b and b=c then a=c
If a=b, then a may be replaced by b.
7
Name the property: 13-3⋅1=13-3
Multiplicative Identity
Multiplicative 0 Property
Additive Identity
Transitive
8
Identify the property: 0+14=14
Additive Identity
Reflexive
Multiplicative Identity
Multiplicative Zero Property
9
Define the transitive property.
If a=b, then b=a
a=a
If a=b and b=c, then a=c.
If a=b, then a may be replaced with b.
10
Define the multiplicative identity property.
If 0 is a factor, the product is 0.
When a number a is multiplied by 1, the product is a.
If a×b then b×a
When 0 is multiplied by a, the product is a.
11
Define the symmetric property of equality.
If a=b and =c, then a=c.
If a=b then b=a
a=a
If a=b, then a may be replaced with b.
12
Which represents the additive inverse property?
3(1)=3
3(1/3)=1
3+0=3
3+(-3)=0
13
Name the property: If z=8, then z ÷4=8÷4.
Substitution
Reflexive
Transitive
Symmetric
14
Define the reflexive property of equality.
If a=b, then b=a.
a=a
If a=b and b=c then a=c.
If a=b, then a may be replaced by b.
15
What's Mrs. J's son's name?
Milan
Ivan
Mrs. J doesn't have a kid...
Johnny

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