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2 questions I want to verify

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3 Answers

Both of your answers are correct!

To clarify your first equation for other readers:  "three less than a number" means the number minus 3, so    - 3 will be at the end of the equation.  "A number multiplied by 6" means the number times 6.  Choose any symbol to represent "a number."  Grace chose x as the symbol.  So, the expression becomes 6x - 3.

The 2nd equation is an example of using the distributive property to solve a problem. 
For 1*(3+7), you multiply 1 by the first term in the parentheses (1*3), then by the second term in the parentheses (1*7).  Put a plus sign between the two because there is a plus sign inside the parentheses.  So, 1*(3+7) = (1*3) + (1*7).  If there had been a minus sign inside the parentheses, there would be a minus sign between the two products.  1*(3-7) = (1*3) - (1*7)

Grace, it looks like you have a good handle on your math!

In an effort to connect your questions, 6x-3 could also be written as 3*(2x - 1) which equals (3*2x) - (3*1). Just something extra to think about. :)