What number can replace x

to show the Distributive Property 7(2+4)=14+x?

5 answers

To show the distributive property, we need to simplify the left side of the equation.

7(2+4) can be simplified as follows:
7(2 + 4) = 7(6) = 42

So the equation becomes:
42 = 14 + x

To solve for x, we subtract 14 from both sides of the equation:
42 - 14 = x
28 = x

Therefore, the number that can replace x to show the distributive property is 28.
What number can replace x to demonstrate the Commutative Property of Multiplication 25x=4⋅25 ?
In the given equation, 25x = 4 * 25, we can simplify the equation on the right side first:

4 * 25 = 100

Now we can rewrite the equation as:

25x = 100

To demonstrate the commutative property of multiplication, we need to rearrange the equation so that the number being multiplied (25) is on the right side:

x * 25 = 100

Now we can solve for x by dividing both sides of the equation by 25:

(x * 25) / 25 = 100 / 25

x = 4

Therefore, the number that can replace x to demonstrate the commutative property of multiplication is 4.
Match the properties with their expression.(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Distributive Property
Associative Property
Commutative Property
To match the properties with their expression, we need the expressions to match with each property. However, you haven't provided any expressions to match. Please provide the expressions so I can assist you in matching them with the correct properties.