Exploring Algebraic Properties of Rational Expressions

What does the reflexive property state in algebra?

• A value is equal to itself regardless of its position.

• A value can be substituted for another value.

• A value can be added to both sides of an equation.

• A value can be multiplied by another value.

Which property allows you to reverse the sides of an equation?

• Symmetric Property

• Reflexive Property

• Transitive Property

• Substitution Property

If a = b and b = c, which property states that a = c?

• Transitive Property

• Reflexive Property

• Addition Property

• Symmetric Property

What does the addition property of equality allow you to do?

• Multiply the same value to both sides of an equation.

• Subtract the same value from both sides of an equation.

• Divide the same value from both sides of an equation.

• Add the same value to both sides of an equation.

Which property involves subtracting the same value from both sides of an equation?

• Division Property

• Multiplication Property

• Subtraction Property

• Addition Property

What does the multiplication property of equality state?

• You can multiply the same value to both sides.

• You can add the same value to both sides.

• You can subtract the same value from both sides.

• You can divide the same value from both sides.

What is the division property of equality?

• Multiplying the same value to both sides.

• Dividing the same value from both sides.

• Adding the same value to both sides.

• Subtracting the same value from both sides.

What does the substitution property of equality allow you to do?

• Multiply a value to both sides of an equation.

• Add a value to both sides of an equation.

• Divide a value from both sides of an equation.

• Replace a variable with its value.

What is the distributive property with addition?

• a(b + c) = ab + ac

• a(b - c) = ab - ac

• a(b + c) = ab - ac

• a(b - c) = ab + ac

How can the distributive property be written backwards?

• By multiplying the terms inside the parentheses.

• By subtracting the terms inside the parentheses.

• By adding the terms inside the parentheses.

• By factoring out the common factor.