Exploring Adding and Subtracting Rational Expressions

This video tutorial reviews the distributive property, explaining how to multiply a number outside the parentheses with each term inside. It covers examples with both positive and negative numbers, and includes advanced examples with fractions. The tutorial emphasizes the importance of sign changes and simplification in calculations.

What is the distributive property?

• A property that adds numbers inside parentheses.

• A property that multiplies a number outside the parentheses with each term inside.

• A property that subtracts numbers inside parentheses.

• A property that divides numbers inside parentheses.

Tags

CCSS.6.EE.A.3

If you have 4(x + 9), what is the result after applying the distributive property?

• 4x + 9

• 4 + 36x

• 4x + 36

• 4 + 9x

Tags

CCSS.6.EE.A.3

What is the result of 7(k - 3) using the distributive property?

• 7k + 21

• 7k - 21

• 7k + 3

• 7 - 21k

Tags

CCSS.6.EE.A.3

How do you handle a negative number outside the parentheses, such as -3(m - 8)?

• -3m + 24

• -3m - 24

• 3m - 24

• 3m + 24

Tags

CCSS.6.EE.A.3

What is the result of distributing 5 in 5(w - 4)?

• 5 - 20w

• 5w - 20

• 5w + 20

• 5w + 4

Tags

CCSS.6.EE.A.3

What happens when you distribute a negative number, such as -5(m - 5)?

• -5m + 25

• -5m - 25

• 5m - 25

• 5m + 25

Tags

CCSS.6.EE.A.3

What is the result of distributing 9 in 9(2 - a)?

• 9 - 18a

• 18 - 9a

• 18 + 9a

• 9 + 18a

Tags

CCSS.6.EE.A.3

What is the result of distributing -12 in -12(c + 4)?

• -12c + 48

• -12c - 48

• 12c - 48

• 12c + 48

Tags

CCSS.6.EE.A.3

How do you distribute a fraction, such as 4/9(3/8w + 10)?

• 4/9w + 10

• 1/6w + 40/9

• 3/8w + 40/9

• 1/6w + 4/9

Tags

CCSS.6.EE.A.3

What is the result of distributing -1 in -1(k - 2)?

• -k + 2

• k + 2

• -k - 2

• k - 2

Tags

CCSS.7.EE.A.1