Evaluating Expressions with the Distributive Property

This video tutorial covers evaluating expressions by combining like terms and using the distributive property. It begins with an introduction to evaluating expressions and demonstrates how to combine like terms through various examples. The tutorial then introduces the distributive property, explaining its application with simple and advanced examples. By the end, viewers should understand how to simplify expressions using these mathematical techniques.

What does it mean to evaluate an expression?

• To divide the expression into smaller parts

• To add a constant to each term

• To multiply each term by itself

• To simplify the expression by combining like terms

How do you combine terms that look alike?

• By subtracting them

• By adding them together

• By dividing one by the other

• By multiplying them

What is the result of combining 3x and 7x?

• 3x + 7x

• 21x

• 10x

• 4x

When combining like terms, what do you do with terms that don't look alike?

• Subtract them from each other

• Combine them using the distributive property

• Leave them as they are

• Multiply them together

What is the final result of combining 5x - 2x + 3 + 1?

• 3x + 4

• 8x + 4

• 7x + 4

• 3x - 1

What is the distributive property?

• A property that allows you to multiply a number outside the parenthesis with the numbers inside

• A property that allows you to divide terms inside a parenthesis

• A property that allows you to subtract terms inside a parenthesis

• A property that allows you to add terms inside a parenthesis

How do you apply the distributive property to 3(2 + 3)?

• 3+2 + 3+3

• 3-2 + 3-3

• 3*2 + 3*3

• 3/2 + 3/3

What is the result of using the distributive property on 5(3 + 4)?

• 15x + 20

• 5 + 7

• 8 + 9

• 15 + 20

In the expression 2(4x + 2) + 2, what is the first step according to the distributive property?

• Multiply 2 with 4x and 2

• Add 2 to each term inside the parenthesis

• Divide each term inside the parenthesis by 2

• Subtract 2 from each term inside the parenthesis

What is the correct simplification of -2(x + 2) + x + 2?

• -3x + 2

• -x - 2

• -2x + 4

• -x + 2