Under the Commutative Property of addition, which of the following is not equivalent to the expression 4x+5x+6x+9

Question

(1 point)
Responses

9+4x+5x+6x
9 plus 4 x plus 5 x plus 6 x

4x+6x+5x+9
4 x plus 6 x plus 5 x plus 9

6x+9+5x+4x
6 x plus 9 plus 5 x plus 4 x

4+5x+6x+9x

Answer 1

To determine which expression is not equivalent to \( 4x + 5x + 6x + 9 \) under the Commutative Property of addition, we first need to simplify the original expression.

The original expression can be simplified as follows: \[ 4x + 5x + 6x + 9 = (4x + 5x + 6x) + 9 = 15x + 9. \]

Now, we'll evaluate each response to see if it simplifies to \( 15x + 9 \):

1. \( 9 + 4x + 5x + 6x \) simplifies to: \[ 9 + (4x + 5x + 6x) = 9 + 15x = 15x + 9. \]

2. \( 4x + 6x + 5x + 9 \) simplifies to: \[ (4x + 6x + 5x) + 9 = 15x + 9. \]

3. \( 6x + 9 + 5x + 4x \) simplifies to: \[ 6x + (5x + 4x) + 9 = (6x + 9) + 9x = 15x + 9. \]

4. \( 4 + 5x + 6x + 9x \) simplifies to: \[ 5x + 6x + 9x + 4 = (5x + 6x + 9x) + 4 = 20x + 4. \]

Now we can see:

• The first three expressions equal \( 15x + 9 \).
• The fourth expression equals \( 20x + 4 \), which is not equivalent to \( 15x + 9 \).

Thus, the expression that is not equivalent is:

4 + 5x + 6x + 9x.

Answer 2

Use the Associative Property of Multiplication to rewrite the following expression:(1 point)
(x×3y)×7=

Answer 3

To apply the Associative Property of Multiplication, we can regroup the factors in the expression \((x \times 3y) \times 7\). The Associative Property states that the way in which factors are grouped does not change their product.

We can rewrite the expression as follows:

\[ x \times (3y \times 7). \]

So the expression using the Associative Property of Multiplication is:

\[ x \times (3y \times 7). \]

Answer 4

Use the Associative Property of Multiplication to rewrite the following expression:(1 poin

Answer 5

To apply the Associative Property of Multiplication, you can regroup the factors in a multiplication expression without changing the product. However, it seems like you haven't provided the specific expression you want to rewrite.

If you're looking for a general example, consider an expression \( a \times (b \times c) \). Using the Associative Property, it can be rewritten as:

\[ (a \times b) \times c. \]

If you provide me with the specific expression you have in mind, I can help you rewrite it using the Associative Property of Multiplication!