Exploring Properties of Equality in Algebra

What is the main purpose of this video tutorial?

• To prepare for geometry two-column proofs

• To explain the properties of equality

• To solve quadratic equations

• To introduce algebraic expressions

Which property of equality involves adding the same value to both sides of an equation?

• Division Property

• Addition Property

• Multiplication Property

• Subtraction Property

What property is used when multiplying a number to each term inside parentheses?

• Addition Property

• Division Property

• Distributive Property

• Subtraction Property

In the equation 2x - 18 = -10, what is the next step to isolate x?

• Subtract 18 from both sides

• Add 18 to both sides

• Multiply both sides by 2

• Divide both sides by 2

What property is applied when dividing both sides of an equation by the same number?

• Division Property

• Multiplication Property

• Subtraction Property

• Addition Property

What is the first step in solving the given problem in the example?

• Divide by 2 on both sides

• Multiply by 2 on both sides

• Add 1 to both sides

• Subtract 1 from both sides

After multiplying by 2 on both sides, what is the next step in the example problem?

• Multiply by 2 again

• Divide by 2 on both sides

• Subtract 1 from both sides

• Add 1 to both sides

What is the final step to solve for x in the example problem?

• Multiply by 2 on both sides

• Add 1 to both sides

• Subtract 1 from both sides

• Divide by 2 on both sides

Which property is used to cancel out the denominator in the example problem?

• Addition Property

• Multiplication Property

• Division Property

• Subtraction Property

Why is it important to show all steps in solving equations?

• To avoid using properties of equality

• To confuse the reader

• To justify each step and prepare for two-column proofs

• To make the solution longer