Question

Choose a missing numbers that make the following expression equivalent ____x + 14 and 7 ( 5 x + _____ )​

Answer 1

Answer:

35x + 14 and 7(5x + 2)​

Step-by-step explanation:

We have to find the missing values that would also make both expressions equivalent.

_x + 14 and 7(5x + _ )​

In the expression, there are some similarities with the placement of the numbers and variables.

Let find the value of the number next to "x".

You can see that we have to use the distributive property to solve the right expression, and once we do so, we can find our first value.

Use the distributive property:

7(5x)

35x

Now we know that our first value is 35x.

To find our second value, we see that in the first equation it is "14", so we need a number that can be multiplied by 7 to make 14.

7 · 2 = 14

Our second number would be 2.

Your final answer would be: 35x + 14 and 7(5x + 2)​

Once you use the distributive property for the second expression, you would get an equivalent expression as the first one.