Exploring Adding and Subtracting Rational Expressions

What ensures that an equation remains balanced while solving for a variable?

• Properties of numbers

• Properties of inequalities

• Properties of equalities

• Properties of operations

Which property states that adding the same value to both sides of an equation keeps it balanced?

• Division property of equality

• Addition property of equality

• Multiplication property of equality

• Subtraction property of equality

What property is used when you subtract the same value from both sides of an equation?

• Addition property of equality

• Subtraction property of equality

• Division property of equality

• Multiplication property of equality

In the equation 2x - 9 = -10, what property justifies the step from 2(x - 9) to 2x - 18?

• Addition property of equality

• Subtraction property of equality

• Distributive property

• Division property of equality

What property justifies the step from 2x - 18 = -10 to 2x = 8?

• Division property of equality

• Addition property of equality

• Subtraction property of equality

• Multiplication property of equality

In the equation M/-3 + 10 = -1, what property justifies the step from M/-3 + 10 to M/-3 = -11?

• Division property of equality

• Multiplication property of equality

• Subtraction property of equality

• Addition property of equality

What property is used when you multiply both sides of an equation by the same number?

• Multiplication property of equality

• Subtraction property of equality

• Division property of equality

• Addition property of equality

In the equation 5y - 1 / 2 = 7, what property justifies the step from (5y - 1) / 2 to 5y - 1?

• Addition property of equality

• Division property of equality

• Multiplication property of equality

• Subtraction property of equality

What property allows you to flip the order of the equal signs in an equation?

• Subtraction property of equality

• Distributive property

• Addition property of equality

• Symmetric property

What is the term used when combining similar terms in an equation?

• Factor

• Expand

• Distribute

• Simplify