Exploring Equivalent Expressions with Properties

What does the commutative property of addition imply about the order of numbers?

• The order determines the sum.

• The order can be reversed without changing the sum.

• Only consecutive numbers can be added.

• The sum is always zero.

According to the associative property of addition, how does regrouping numbers affect the sum?

• It only works with positive numbers.

• It does not affect the sum.

• It changes the sum.

• It reduces the sum by half.

What is the result of any number multiplied by one, based on the identity property of multiplication?

• One

• Zero

• The number doubled

• The number itself

How does the distributive property relate to multiplication over addition?

• It only applies to subtraction.

• It allows for multiplication before addition.

• It requires division before addition.

• It negates the need for addition.

In the expression 9 times 4x plus 2, what is the result of applying the distributive property?

• 9x + 2

• 36x + 18

• 11x + 2

• 13x

What does 8m plus 9m simplify to?

• 1m

• 9m

• 17m

• 8m^2

Which expression is equivalent to 8J plus 12?

• 14J + 12

• 6J + 6J + 12

• 8J + 12

• 20J

What is the simplified form of 5 times R plus 3 using the distributive property?

• 5R + 3

• 15R

• 8R

• 5R + 15

Is the expression 'three plus R times five' equivalent to 5R plus 15?

• Yes, due to the distributive property.

• No, it simplifies to 8R.

• Yes, but only for R=1.

• No, it simplifies to 3R + 5.

Which expression correctly combines the terms in 4R + 12 + R + 3?

• 9R

• 4R + 15

• 5R + 12

• 5R + 15