Exploring Properties of Equality

What is the main focus of this unit?

• Properties of equality

• Properties of inequalities

• Properties of functions

• Properties of exponents

If a = b, what is a + c equal to?

• a + b

• b - c

• b + c

• a - c

If a = b, what is a - c equal to?

• a + c

• b - c

• a - b

• b + c

If a = b, what is a * c equal to?

• b * c

• a / c

• b / c

• a + c

If a = b, what is a / c equal to?

• b * c

• b / c

• a + c

• a * c

What does the distributive property state?

• a(b + c) = ab + ac

• a + b = b + a

• a(b - c) = ab - ac

• a - b = b - a

What does the substitution property allow you to do?

• Replace a variable with its value

• Divide both sides by the same number

• Add the same number to both sides

• Multiply both sides by the same number

What does the reflexive property state?

• a = b + c

• a = c

• a = a

• a = b

What does the symmetric property state?

• If a = b, then b = a

• If a = b, then b = c

• If a = b, then a = c

• If a = b, then a = a

What is the purpose of two-column proofs?

• To justify statements using properties

• To graph functions

• To solve equations

• To find the value of variables