Understanding the Distributive Property

What does the distributive property allow you to do with expressions like 5 times the sum of X plus 3?

• Subtract the numbers inside the parentheses.

• Divide each term inside the parentheses by the number outside.

• Add the numbers inside the parentheses first.

• Multiply each term inside the parentheses by the number outside.

When using the distributive property, what should you do if you encounter a negative sign?

• Ignore the negative sign.

• Change the negative sign to a positive.

• Add the negative sign to the result.

• Multiply the negative sign with the number outside the parentheses.

How do you simplify the expression 7 times the difference of X minus 3?

• 7X + 21

• 7X - 21

• 7X + 3

• 21X - 7

What is the equivalent expression for 9 times the sum of 1 and X?

• 9X + 1

• 9X + 9

• 9 + 9X

• 1 + 9X

What is the result of distributing 6 times the sum of X and 10?

• 6X - 60

• 60X + 6

• 6X + 60

• 6X + 10

In the combo meal example, what does distributing 3 times the meal result in?

• 3 tacos and 3 sodas

• 3 tacos and 6 sodas

• 6 tacos and 6 sodas

• 6 tacos and 3 sodas

What is the equivalent expression for 4 times the sum of X and 3?

• 4X + 3

• 4X + 12

• 12X + 4

• 4X - 3

What is the first step in solving a problem with both distribution and addition, like 12 times the sum of 4 and X plus 3X?

• Add 4 and X first.

• Add 3X to 12.

• Multiply 12 by 3X first.

• Distribute 12 to both 4 and X.

What is the result of distributing 2 times the difference of X and 11?

• 2X + 22

• 2X + 11

• 2X - 22

• 22X - 2

In the expression 12 times the sum of 4 and X plus 3X, what is the final simplified form?

• 12X + 3X

• 48X + 3

• 48 + 15X

• 48 + 12X