Algebraic Proofs

Front

What is the Symmetric Property?

Back

If a = b, then b = a. This property states that if one quantity equals another, then the second quantity equals the first.

Front

What is the Reflexive Property?

Back

For any number a, a = a. This property states that any quantity is equal to itself.

Front

What is the Transitive Property?

Back

If a = b and b = c, then a = c. This property allows us to conclude equality between two quantities.

Front

What is the Substitution Property of Equality?

Back

If a = b, then a can be replaced by b in any expression.

Front

What is the Distributive Property?

Back

a(b + c) = ab + ac. This property allows you to multiply a number by a sum by distributing the multiplication.

Front

Simplify the expression: 5(x + 2)

Back

5x + 10

Front

Simplify the expression: 4(2x + 3)

Back

8x + 12

Front

If 7 = x, what is the value of x?

Back

x = 7

Front

If x = 10, what is the value of 2x + 3?

Back

2(10) + 3 = 20 + 3 = 23

Front

What is the definition of an algebraic proof?

Back

An algebraic proof is a logical argument that uses algebraic expressions and properties to demonstrate the truth of a statement.