Exploring the Distributive Property and Like Terms

What are the three units that will be covered after simplifying algebraic expressions?

• Solving equations, linear relationships, and functions

• Geometry, trigonometry, and calculus

• Number theory, combinatorics, and graph theory

• Statistics, probability, and matrices

What is a coefficient in an algebraic expression?

• A number that is subtracted from a variable

• A number that divides a variable

• A number that is added to a variable

• A number that is multiplied by a variable

Which of the following are like terms?

• 7x and 7

• 7x and 4x^2

• 7x and 4y

• 7x and 4x

What does the distributive property allow you to do?

• Divide terms inside parentheses

• Subtract terms inside parentheses

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

• Add terms inside parentheses

What is the result of applying the distributive property to 3(2x + 7)?

• 3x + 21

• 6x + 21

• 6x + 10

• 5x + 7

How do you simplify the expression 3x/5 + 10/5?

• 3x + 10/5

• 3x + 2

• 3x/5 + 10

• 3x/5 + 2

What happens when you multiply any number by negative one?

• The number remains the same

• The number becomes its opposite

• The number becomes positive

• The number becomes zero

Which of the following are unlike terms?

• 3xy and 3yx

• 3xy and 3xy^2

• 3xy and -3xy

• 3xy and 3x

What is the simplified form of 3x + 8x + x?

• 11x

• 9x

• 12x

• 10x

What does it mean to simplify an expression?

• To divide all terms

• To add more terms

• To remove parentheses and combine like terms

• To multiply all terms