Distributing and Combining Like Terms Explained

What are the two main topics covered in today's lesson?

• Finding the perimeter and area of shapes

• Distributive property and solving equations

• Combining like terms and solving inequalities

• Distributive property and combining like terms

What does the distributive property involve?

• Multiplying a number by each term inside parentheses

• Subtracting numbers inside parentheses

• Adding numbers inside parentheses

• Dividing numbers inside parentheses

What is the result of distributing -7 to the expression (3x - 7)?

• -21x - 49

• 21x + 49

• -21x + 49

• 21x - 49

Which of the following pairs are like terms?

• 2x and 2y

• x^2 and x^3

• 3xy and -y

• 5x^2y and -4x^2y

How should you handle the signs when combining like terms?

• Only consider positive signs

• Include the sign in front of the number

• Only consider negative signs

• Ignore the signs

What is the combined result of 9 + 3y - 10x - 2 + 12y - 4x?

• 7 - 15y + 14x

• 7 - 15y - 14x

• 7 + 15y - 14x

• 7 + 15y + 14x

When combining like terms, what should remain the same?

• Only the exponents

• Both the variable and exponent

• Only the variables

• Only the coefficients

What is the simplified form of 5x^2 - 12 - 11x^2 + 13 + 2x?

• 6x^2 + 1 + 2x

• 6x^2 + 1 - 2x

• -6x^2 + 1 + 2x

• -6x^2 + 1 - 2x

What is the first step when simplifying the expression 8 - 7y + 2/3(3y - 9)?

• Distribute 2/3 to the terms inside the parentheses

• Divide by 2/3

• Combine like terms

• Add 8 and -7y

What is the final simplified form of 2/5(5xy - 10) - 6(3 - xy) + 5?

• -8xy + 17

• 8xy - 17

• 8xy + 17

• -8xy - 17