30.07.2022

A student attempted to generate an equivalent expression using the distributive property, as shown below:
6(m + 3) = 6m + 3
What was the mistake made?

. 6

Faq

Mathematics
Step-by-step answer
P Answered by Master

2 was not multiplied by 5

Step-by-step explanation:

If we use the distributive property then the equation will actually look like this.

2x + 10.

So the student forgot to multiply 2 by 5.

Mathematics
Step-by-step answer
P Answered by Specialist

2 was not multiplied by 5

Step-by-step explanation:

If we use the distributive property then the equation will actually look like this.

2x + 10.

So the student forgot to multiply 2 by 5.

Mathematics
Step-by-step answer
P Answered by Specialist
In the equation 2(x+5) = 2x +5 
You need to use distributive property so your answer would be 2x + 10.
So the mistake that was made is... 

B: 2 was not multiplied by 5 
Mathematics
Step-by-step answer
P Answered by PhD
2(x+5) = 2x + 5

The mistake made was that 2 was not multiplied by 5.

In distributive property of multiplication, the number outside the parenthesis must be multiplies to all numbers inside the parentheses with its corresponding signs.

2(x+5) = 2(x) + 2(5) = 2x + 10

Here is another example of a distributive property:

3(x+5) - 2(x-5)
3(x) + 3(5) - 2(x) -2(-5) 
3x + 15 -2x + 10
3x - 2x + 15 + 10   * group like terms
x + 25 
Mathematics
Step-by-step answer
P Answered by Specialist
In the equation 2(x+5) = 2x +5 
You need to use distributive property so your answer would be 2x + 10.
So the mistake that was made is... 

B: 2 was not multiplied by 5 
Mathematics
Step-by-step answer
P Answered by PhD
4(x + 2) = 4(x) + 4(2)
= 4x + 8

mistake that a student forgot to multiply 4 on the first variable and it's supposed to be 4x + 8, not x + 8

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