Test Flashcards
What is the Distributive Property?
a • (b + c) = a • b + a • c
What is the Commutative Property of Addition?
a + b = b + a
What is the Commutative Property of Multiplication?
a • b = b • a
What is the Associative Property of Addition?
a + (b + c) = (a + b) + c
What is the Associative Property of Multiplication?
a • (b • c) = (a • b) • c
What is the Additive Inverse Property?
a + (-a) = 0
What is the Multiplicative Inverse Property?
a • (1/a) = 1, assuming a ≠ 0
What is the Substitution Property?
If a = b, then a may be substituted for b, or vice versa.
What is the Addition Property of Equality?
If a = b, then a + c = b + c
What is the Subtraction Property of Equality?
If a = b, then a - c = b - c
What is the Multiplication Property of Equality?
If a = b, then a • c = b • c
What is the Division Property of Equality?
If a = b, then a ÷ c = b ÷ c, assuming c ≠ 0.
What is the Transitive Property of Equality?
If a = b and b = c, then a = c.
Give an example of the Distributive Property.
3 • (4 + 5) = 3 • 4 + 3 • 5
Give an example of the Commutative Property of Addition.
3 + 4 = 4 + 3
Give an example of the Commutative Property of Multiplication.
3 • 4 = 4 • 3
Give an example of the Associative Property of Addition.
3 + (4 + 5) = (3 + 4) + 5
Give an example of the Associative Property of Multiplication.
3 • (4 • 5) = (3 • 4) • 5
Give an example of the Additive Inverse Property.
11 + (-11) = 0
What is the value of 5 • (1/5)?
5 • (1/5) = 1
If x = 5, and x + y = z, what can we conclude?
Then 5 + y = z.
If x = 10, what is x + 3?
x + 3 = 10 + 3
If x = 10, what is x • 5?
x • 5 = 10 • 5
If x = 10, what is x ÷ 5?
x ÷ 5 = 10 ÷ 5
