Distributive Property and Simplifying Expressions

This video tutorial covers simplifying expressions, focusing on combining like terms and using the distributive property. It includes practical exercises and highlights the importance of using different colors to identify terms. The tutorial also explores advanced techniques like handling fractions and calculating perimeter, providing a comprehensive understanding of expression simplification.

What is the first step in simplifying expressions by combining like terms?

• Subtract the smallest term from the largest.

• Multiply all terms by 2.

• Combine terms with the same variable.

• Add all numbers together.

When combining like terms, what should you do with the sign in front of a number?

• Ignore it.

• Add it to the number.

• Use it with the number.

• Multiply it by the number.

How do you handle terms with different powers when combining like terms?

• Add the powers together.

• Only combine terms with the same power.

• Ignore the powers.

• Combine them anyway.

What is the first step when using the distributive property?

• Subtract the smallest term.

• Divide each term by 2.

• Add all terms inside the parentheses.

• Multiply each term inside the parentheses by the term outside.

What common mistake do students make when using the distributive property?

• Ignoring the parentheses.

• Dividing terms incorrectly.

• Adding terms instead of multiplying.

• Forgetting to multiply the last term.

How should you handle a negative sign in front of parentheses when distributing?

• Multiply it by the last term only.

• Add it to the first term.

• Treat it as a negative one and distribute.

• Ignore it.

What is the result of distributing a negative sign across the expression (7 - 5)?

• -7 + 5

• 7 + 5

• -7 - 5

• 7 - 5

When simplifying expressions with fractions, what is the first step?

• Add the numerators.

• Multiply the numerators and denominators.

• Subtract the denominators.

• Divide the fractions.

How do you find the perimeter of a shape using algebraic expressions?

• Divide the total by the number of sides.

• Multiply all sides together.

• Add all sides together.

• Subtract the smallest side from the largest.

What should you do if you encounter a fraction in an expression?

• Simplify it by dividing the numerator and denominator by their greatest common factor.

• Ignore it.

• Multiply it by 2.

• Add it to the nearest whole number.