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Properties 101
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100
(x + y) + z = x + (y + z) is an example of this property.
What is the associative property?
100
This property allows us to add the same thing to both sides of the equation.
What is the Addition Property of Equality?
100

Give an example of the Additive Inverse Property.

What is x + (-x) = 0 ?

100

24 * 1 = 24 is an example of this property.

What is the Multiplicative Identity Property?

100

This property allows you to put a '1' in front of a variable if no other number exists there.

What is the Multiplicative Identity Property?

200
g(h + c) = gh + gc is an example of this property.
What is the Distributive Property?
200
If I add zero to a mathematical expression I get this property.
What is the Additive Identity Property?
200

Give an example of the Reflexive Property.

What is x = x ?

200

3 x (1/3) = 1 is an example of this property.

What is the Multiplicative Inverse Property?

200

How can you simplify the following expression and what property is used?

2(x+9)

What is the Distributive Property?

The answer is 2x + 18

300

This property states that if two expressions are equal to one another then they may be substituted for each other anywhere within a mathematical equation.

What is the Substitution Property?

300

This property states that if 'a' and 'b' are grouped together and 'c', is added, it is the same as having, 'a' by itself added to 'b' and 'c' grouped together

What is the Associative Property of Addition?

300

Give an example of the Symmetric Property.

What is a + b = c and c = a + b?

300
This is the ability to multiply both sides of an equation by the same amount.
What is the Multiplication Property of Equality?
300

If Michael is the same age as Thomas, and Thomas is  twice the age of Bryan, then this property is used to show that Michael is twice the age of Bryan.

What is the Transitive Property?

400

This is the first property used to help solve for 'y' in the following equation: 3y = 6x + 9

What is Division Property of Equality?

400

a + b = b + a is an example of this property.

What is the Commutative Property of Addition?

400

Give an example of the Subtraction Property of Equality.

What is subtracting the same amount on each side of an equation, a - c = b - c, if a = b ?

400

If I changed 7 *25 to 25 *7 that would be an example of this property.

What is the Commutative Property of Multiplication?

400

Which property is used in the following equations:

5x + 4 = 39     5(7) + 4 = 39

What is the Substitution Property?

7 was substituted for the variable x

500
"Anything is equal to itself" is a definition of this property.
What is the Reflexive Property?
500
This property would tell you that 8 + (-8) = 0
What is the Additive Inverse Property?
500

Give an example of the Multiplicative Inverse Property.

What is x * (1/x) = 1 ?

500

This property will always give the answer zero, no matter what multiplies it.

What is the Zero Property of Multiplication?

500

2x + 3 = y can be rewritten to y = 2x + 3 using this property.

What is the Symmetric Property?