Combining Like Terms and Distributive Property Challenge

Mrs. Lyon introduces two key algebraic concepts: combining like terms and the distributive property. She defines terms and like terms, providing examples to illustrate how to identify and combine them. The distributive property is explained as multiplying a number outside parentheses with terms inside. Mrs. Lyon demonstrates how to apply both concepts together, emphasizing the importance of simplifying expressions using the distributive property before combining like terms. The video concludes with a comprehensive example that integrates both concepts.

What defines a 'term' in an algebraic expression?

• A mathematical statement that includes an equals sign

• Any number in an equation

• A number, a variable, or the product of numbers and variables

• A combination of numbers and variables with operations

What are 'like terms' in an expression?

• Terms that appear next to each other

• Terms that have the same variables and exponents

• Any terms that can be mathematically combined

• Terms with the same coefficients

Which of the following is an example of like terms?

• x^2 and x

• 5xy and 5yx

• 2ab and 2ba

• 3x and 3y

How would you combine the terms in the expression 8x - 7 + 3x + 5?

• 11x - 12

• 11x + 2

• 14x - 2

• 11x - 2

What is the result of applying the distributive property to 4(2x - 5)?

• 8x - 20

• 6x - 20

• 8x - 10

• 8x + 20

What is the first step when using the distributive property in an expression?

• Combine like terms

• Multiply the outer number by each term inside the parentheses

• Add all the numbers together

• Identify the variables

What does the distributive property allow you to do in an expression?

• Divide terms inside parentheses

• Combine unlike terms

• Multiply a single term outside the parentheses across terms inside

• Subtract terms inside parentheses

After distributing and combining like terms, what is the simplified form of 5(3x - 2) - 6x + 8?

• 15x - 10

• 9x + 6

• 15x + 6

• 9x - 2

In the expression -2(b - 1) + 6, what does the term -2b represent?

• The product of -2 and b

• The sum of -2 and b

• The difference between -2 and b

• The quotient of -2 and b

What is the result of combining the terms -5b - 2b + 2 + 6?

• -3b - 4

• -3b + 8

• -7b - 4

• -7b + 8